Professor William Heath
Head of School of Computer Science and Engineering
 
    Overview
My research is focused on feedback control theory and its applications. A recurrent theme has been to balance the simplicity and insight of classical control with the power and potential of digital control implementation to address nonlinear control problems. The focus is systems with actuator nonlinearities such as , rate constraints, and hysteresis.
I am interested in multiplier theory within the framework of absolute stability theory. Recent highlights include new frequency domain characterisations of both the O'Shea-Zames-Falb multipliers and their counterparts. I apply these techniques to model predictive control and antiwindup.Â
Additional Contact Information
School of Computer Science and Engineering
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Dean Street
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Gwynedd
LL57 1UT
email: w.heath@bangor.ac.uk
Publications
2025
- E-pub ahead of print
 Carrasco, J., Heath, W. & Seiler, P., 28 Mar 2025, (E-pub ahead of print) Encyclopedia of Systems and Control Engineering. Elsevier
 Research output: Chapter in Book/Report/Conference proceeding › Entry for encyclopedia/dictionary › peer-review
- Published
 Verma, G., Heath, W. & Theodoropoulos, C., 1 Jul 2025, ESCAPE 35 - European Symposium on Computer Aided Process Engineering. Vol. 4. p. 1251-1256 6 p. (Systems and Control Transactions).
 Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
- E-pub ahead of print
 Wang, Z., Zhang, Y., Zhang, Z., Zie, S. Q., Lanzon, A., Heath, W. & Li, Z., 9 Jun 2025, (E-pub ahead of print) In: IEEE Journal of Biomedical and Health Informatics. p. 1-11 11 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. & Carrasco, J., Mar 2025, In: IEEE Transactions on Automatic Control. 70, 3, p. 2051-2058 8 p.
 Research output: Contribution to journal › Article › peer-review
2024
- Published
 Heath, W. P., Carrasco, J. & Zhang, J., 1 Jan 2024, In: IEEE Transactions on Automatic Control. 69, 1, p. 566–573
 Research output: Contribution to journal › Article › peer-review
2022
- Published
 Zhang, J., Carrasco, J. & Heath, W. P., 1 Jul 2022, In: IEEE Transactions on Automatic Control. 67, 7, p. 3521-3528 8 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P., Carrasco, J. & Altshuller, D. A., 1 Feb 2022, In: IEEE Transactions on Automatic Control. 67, 2, p. 910-917 8 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Wang, X., Liu, Z., Zhang, L. & Heath, W. P., 1 Dec 2022, In: IEEE Transactions on Industrial Electronics. 69, 12, p. 13597–13606
 Research output: Contribution to journal › Article › peer-review
2021
- Published
 Carrasco, J. & Heath, W. P., 11 Nov 2021, Wiley Encyclopedia of Electrical and Electronics Engineering.
 Research output: Chapter in Book/Report/Conference proceeding › Entry for encyclopedia/dictionary › peer-review
- Published
 Poupard, E., Heath, W. & Güttel, S., 1 Nov 2021, In: Automatica. 113, 13 p., 109833.
 Research output: Contribution to journal › Article › peer-review
- Published
 Petsagkourakis, P., Heath, W. P., Carrasco, J. & Theodoropoulos, C., 1 Apr 2021, In: IEEE Transactions on Automatic Control. 66, 4, p. 1879-1886 8 p.
 Research output: Contribution to journal › Article › peer-review
2020
- Published
 Carrasco, J., Heath, W. P., Zhang, J., Ahmad, N. S. & Wang, S., 1 Nov 2020, In: IEEE Transactions on Automatic Control. 65, 11, p. 4538-4553 16 p.
 Research output: Contribution to journal › Article › peer-review
- E-pub ahead of print
 Mirza-Hekmati, D., Heath, W., Apsley, J. & Forbes, J., 1 Dec 2020, (E-pub ahead of print) In: International Journal of Engine Research. 23, 1, p. 78-89 12 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Elstone, L., How, K. Y., Brodie, S., Ghazali, M. Z., Heath, W. P. & Grieve, B., 14 Jan 2020, In: Sensors. 20, 2
 Research output: Contribution to journal › Article › peer-review
2018
- Published
 Zhang, J., Tugal, H., Carrasco, J. & Heath, W. P., 1 Jul 2018, In: IEEE Control Systems Letters. 2, 3, p. 411-416 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Wang, S., Carrasco, J. & Heath, W. P., 1 Apr 2018, In: IEEE Transactions on Automatic Control. 63, 4, p. 947-959 13 p.
 Research output: Contribution to journal › Article › peer-review
2016
- Published
 Gayadeen, S. & Heath, W., 23 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 42, 11, p. 542-547 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Morales, R. M., Li, G. & Heath, W. P., 25 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 41, 2, p. 14144-14149
 Research output: Contribution to journal › Article › peer-review
- Published
 Zou, Y. & Heath, W. P., 21 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 42, 10, p. 1110-1115 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Carrasco, J., Heath, W. P., Liñan, M. C. R., Alli-Oke, R., Kerim, O. A. R. A. & Gutierrez, S. R., 21 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 10, 17, p. 238-243 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P. & Li, G., 25 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 41, 2, p. 15160-15165
 Research output: Contribution to journal › Article › peer-review
- Published
 Ahmad, N. S., Heath, W. P. & Li, G., 25 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 44, 1, p. 3392-3397 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Adegbege, A. A. & Heath, W. P., 21 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 7, PART 1, p. 282-287 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Vivero, O. & Heath, W. P., 21 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 45, 16, p. 298-303 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Li, G., Heath, W. P. & Herrmann, G., 25 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 44, 1, p. 14477-14482 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P. & Wills, A. G., 16 May 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 38, 1, p. 71-76 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P., Li, G., Wills, A. G. & Lennox, B., 21 Apr 2016, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 39, 9, p. 495-500 6 p.
 Research output: Contribution to journal › Article › peer-review
2015
- Published
 Li, G., Heath, W. P. & Lennox, B., 1 Jan 2015, In: Automatica. 51, p. 4483-4488 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Kara-Mohamed, M., Heath, W. P. & Lanzon, A., 1 May 2015, In: IEEE Transactions on Control Systems Technology. 23, 3, p. 1003-1013 11 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Adegbege, A. A. & Heath, W. P., 5 Feb 2015, p. 1033-1039. 7 p.
 Research output: Contribution to conference › Paper › peer-review
2014
- Published
 Morales, R. M., Li, G. & Heath, W. P., 25 Nov 2014, In: International Journal of Robust and Nonlinear Control. 24, 17, p. 2640-2652 13 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P. & Wills, A. G., 1 Jan 2014, In: European Journal of Control. 10, 1, p. 15-27 13 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Mohamed, M. K., Heath, W. P. & Lanzon, A., 2014, In: 2014 European Control Conference, ECC 2014. p. 1939-1944 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Carrasco, J., Maya-Gonzalez, M., Lanzon, A. & Heath, W. P., 1 Aug 2014, In: Systems and Control Letters. 70, p. 17-22 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Ahmad, N. S., Carrasco, J. & Heath, W. P., 10 Mar 2014, p. 5258-5263. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Carrasco, J., Heath, W. P. & Lanzon, A., 1 Apr 2014, In: Systems and Control Letters. 66, 1, p. 65-71 7 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 King-Hans, A. R., Heath, W. P. & Alli-Oke, R., 11 Dec 2014, p. 1681-1686. 6 p.
 Research output: Contribution to conference › Paper › peer-review
2013
- Published
 Del Carmen Rodriguez Linan, M. & Heath, W. P., 7 Jan 2013, p. 1394-1399. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Syazreen Ahmad, N. & Heath, W. P., 2013, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 46, 23, p. 546-551 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Gayadeen, S., Duncan, S. R. & Heath, W. P., 15 Aug 2013, In: Proceedings of the American Control Conference. p. 1201-1206 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P., Onel, O., Green, P. M., Lennox, B., Gai, Z., He, Z. & Rodriguez Liñan, M. C., 2013, In: International Journal of Electrical Engineering Education. 50, 3, p. 268-278 11 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Carrasco, J., Heath, W. P. & Lanzon, A., 1 Jun 2013, In: Automatica. 49, 6, p. 1732-1740 9 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Carrasco, J., Heath, W. P. & Lanzon, A., 13 Feb 2013, p. 2262-2267. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Ahmad, N. S., Heath, W. P. & Li, G., 1 Feb 2013, In: IEEE Transactions on Automatic Control. 58, 2, p. 459-465 7 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Carrasco, J., Maya-Gonzalez, M., Lanzon, A. & Heath, W. P., 4 Feb 2013, p. 7770-7775. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Carrasco, J., Heath, W. P. & Lanzon, A., Jul 2013, 2013 European Control Conference (ECC). IEEE, p. 1711-1716 6 p.
 Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
- Published
 Ahmad, N. S., Carrasco, J. & Heath, W. P., 4 Feb 2013, p. 2268-2273. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Heath, W. P., Onel, O., Green, P. M., Lennox, B., Gai, Z., He, Z. & Liñan, M. C. R., 13 Sept 2013, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 46, 17, p. 232-237 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Carrasco, J., Heath, W. P., Rodriguez Liñan, M. C., Alli-Oke, R., Abdel Kerim, O. A. R. & Rodriguez Gutierrez, S., Jul 2013, In: International Journal of Electrical Engineering Education. 50, 3, p. 279-292 14 p.
 Research output: Contribution to journal › Article › peer-review
2012
- Published
 Adegbege, A. A. & Heath, W. P., 1 Mar 2012, p. 5503-5508. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Vivero, O. & Heath, W. P., 1 Feb 2012, In: Automatica. 48, 2, p. 287-296 10 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Alli-Oke, R., Carrasco, J., Heath, W. P. & Lanzon, A., 24 Jun 2012, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 45, 13, p. 27-32 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Carrasco, J., Heath, W. P., Li, G. & Lanzon, A., 1 Sept 2012, In: IEEE Transactions on Automatic Control. 57, 9, p. 2422-2428 7 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Carrasco, J., Heath, W. P. & Lanzon, A., 1 May 2012, In: Automatica. 48, 5, p. 909-916 8 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Carrasco, J., Heath, W. P. & Lanzon, A., 1 Mar 2012, p. 6054-6059. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Zou, Y. & Heath, W. P., May 2012, In: International Journal of Control. 85, 5, p. 475-490 16 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Del Carmen Rodriguez Linan, M. & Heath, W. P., 2012, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 45, 17, p. 418-423 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Adegbege, A. A. & Heath, W. P., 24 Jun 2012, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 45, 13, p. 276-281 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Morales, R. M., Heath, W. P. & Li, G., 1 Mar 2012, p. 639-644. 6 p.
 Research output: Contribution to conference › Paper › peer-review
2011
- Published
 Adegbege, A. A. & Heath, W. P., 31 Dec 2011, In: AIChE Journal. 57, 12, p. 3459-3472 14 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Ahmad, N. S., Heath, W. P. & Li, G., 22 Feb 2011. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Vivero, O. & Heath, W. P., 22 Feb 2011, p. 5025-5030. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Heath, W. P., Morales, R. & Li, G., 13 Oct 2011, p. 204-209. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Heath, W. P. & Gayadeen, S., 1 Jan 2011, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 44, 1, p. 11356-11361 6 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Adegbege, A. A. & Heath, W. P., 22 Feb 2011, p. 5251-5256. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Morales, R. M. & Heath, W. P., 4 Feb 2011, In: IEEE Transactions on Control Systems Technology. 19, 6, p. 1421-1432 12 p.
 Research output: Contribution to journal › Article › peer-review
2010
- Published
 Heath, W. P. & Li, G., 30 Mar 2010, In: Automatica. 46, 3, p. 562-568 7 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Vivero, O. & Heath, W. P., 29 Jan 2010, p. 1842-1847. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Zou, Y. & Heath, W. P., 29 Jan 2010, p. 5108-5113. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Adegbege, A. A. & Heath, W. P., 30 Sept 2010, In: IFAC Proceedings Volumes (IFAC-PapersOnline). 43, 5, p. 290-295 6 p.
 Research output: Contribution to journal › Article › peer-review
2009
- Published
 Heath, W. P. & Li, G., 1 Dec 2009, In: Automatica. 45, 12, p. 2977-2981 5 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Morales, R. M., Heath, W. P. & Li, G., 13 Nov 2009, p. 3329-3334. 6 p.
 Research output: Contribution to conference › Paper › peer-review
2008
- Published
 Li, G., Heath, W. P. & Lennox, B., 1 Jul 2008, In: IET Control Theory and Applications. 2, 7, p. 554-563 10 p.
 Research output: Contribution to journal › Article › peer-review
2007
- Published
 Wills, A. G. & Heath, W. P., 2007, Lecture Notes in Control and Information Sciences. 1 ed. Springer, Vol. 358. p. 207-216 10 p. (Lecture Notes in Control and Information Sciences).
 Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
- Published
 Heath, W. P. & Wellstead, P. E., 22 Oct 2007, In: International Journal of Control. 62, 2, p. 239-269 31 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Li, G., Heath, W. P. & Lennox, B., 7 May 2007, p. 4247-4252. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Heath, W. P. & Wills, A. G., 15 Oct 2007, In: IEEE Transactions on Automatic Control. 52, 10, p. 1948-1951 4 p.
 Research output: Contribution to journal › Article › peer-review
2006
- Published
 Morales, R. M. & Heath, W. P., 31 Dec 2006, p. 6199-6204. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Heath, W. P. & Wills, A. G., 30 Jan 2006, p. 963-968. 6 p.
 Research output: Contribution to conference › Paper › peer-review
2005
- Published
 Wills, A. G. & Heath, W. P., 1 Mar 2005, In: Journal of Process Control. 15, 2, p. 183-200 18 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P., Wills, A. G. & Akkermans, J. A. G., 1 Aug 2005, In: International Journal of Robust and Nonlinear Control. 15, 12, p. 515-529 15 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P., 16 May 2005, p. 833-838. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Dodds, S. A. & Heath, W. P., 28 Mar 2005, In: Chemometrics and Intelligent Laboratory Systems. 76, 1, p. 37-43 7 p.
 Research output: Contribution to journal › Article › peer-review
2004
- Published
 Wills, A. G. & Heath, W. P., 15 Mar 2004, p. 3701-3705. 5 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Wills, A. G. & Heath, W. P., 1 Aug 2004, In: Automatica. 40, 8, p. 1415-1422 8 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Akkermans, J. A. G., Wills, A. G. & Heath, W. P., 2 Mar 2004, In: Control Systems, Preprints, Conference. p. 63-70 8 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P., 15 Mar 2004, p. 6027-6032. 9 p.
 Research output: Contribution to conference › Paper › peer-review
2003
- Published
 Heath, W. P., 1 Nov 2003, In: Automatica. 39, 11, p. 1849-1863 15 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P., 10 Mar 2003, p. 2627-2632. 6 p.
 Research output: Contribution to conference › Paper › peer-review
2002
- Published
 Wills, A. G. & Heath, W. P., 1 Sept 2002, In: IEE Proceedings: Control Theory and Applications. 149, 5, p. 433-440 8 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Duncan, S. R., Heath, W. P., Halouskova, A. & Karny, M., 6 Aug 2002, p. 1278-1283. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Wills, A. G. & Heath, W. P., 7 Nov 2002, p. 4177-4182. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Heath, W. P., 6 Aug 2002, p. 3930-3935. 6 p.
 Research output: Contribution to conference › Paper › peer-review
- Published
 Moheimani, S. O. R. & Heath, W. P., 1 Jan 2002, In: Automatica. 38, 1, p. 147-155 9 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Moheimani, S. O. R. & Heath, W. P., 6 Aug 2002, p. 3768-3772. 5 p.
 Research output: Contribution to conference › Paper › peer-review
2001
- Published
 Heath, W. P., 1 Oct 2001, In: Automatica. 37, 10, p. 1529-1540 12 p.
 Research output: Contribution to journal › Article › peer-review
2000
- Published
 Duncan, S. R., Allwood, J. M., Heath, W. P. & Corscadden, K. W., 1 Jul 2000, In: IEEE Transactions on Control Systems Technology. 8, 4, p. 667-675 9 p.
 Research output: Contribution to journal › Article › peer-review
1998
- Published
 Wellstead, P. E., Heath, W. P. & Kjaer, A. P., 1 Mar 1998, In: Control Engineering Practice. 6, 3, p. 321-331 11 p.
 Research output: Contribution to journal › Article › peer-review
1997
- Published
 Kjaer, A. P., Wellstead, P. E. & Heath, W. P., 1 Nov 1997, In: IEEE Transactions on Control Systems Technology. 5, 6, p. 571-585 15 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Wellstead, P. E., Zarrop, M. B., Heath, W. P., Kjaer, A. P. & Troyas, X., 1 Sept 1997, In: Pulp and Paper Canada. 98, 9, p. 72-76 5 p.
 Research output: Contribution to journal › Article › peer-review
1996
- Published
 Scotson, P. G. & Heath, W. P., 1 Feb 1996, In: SAE Technical Papers.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P., 1 Feb 1996, In: Automatica. 32, 2, p. 183-198 16 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Wellstead, P. E., Zarrop, M. B., Heath, W. P., Kjaer, A. P. & Troyas, X., 1996, In: Control Systems, Preprints, Conference. p. 5-8 4 p.
 Research output: Contribution to journal › Article › peer-review
1995
- Published
 Kjaer, A. P., Heath, W. P. & Wellstead, P. E., 1 Jan 1995, In: Control Engineering Practice. 3, 1, p. 21-29 9 p.
 Research output: Contribution to journal › Article › peer-review
- Published
 Heath, W. P. & Wellstead, P. E., Jan 1995, In: International Journal of Control. 62, 1, p. 65-107 43 p.
 Research output: Contribution to journal › Article › peer-review
1994
- Published
 Wellstead, P. E. & Heath, W. P., Feb 1994, In: Pulp and Paper Canada. 95, 2, p. 48-51 3 p.
 Research output: Contribution to journal › Article › peer-review