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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. 

School of Computer Science and Engineering

Â鶹´«Ã½¸ßÇå°æ

Dean Street

Bangor

Gwynedd

LL57 1UT

email: w.heath@bangor.ac.uk

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
• E-pub ahead of print
  Heath, W. & Carrasco, J., 16 Oct 2024, (E-pub ahead of print) In: IEEE Transactions on Automatic Control. p. 1-8 8 p.
  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
  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
• 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
  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
  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., 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
  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
  Adegbege, A. A. & Heath, W. P., 1 Mar 2012, p. 5503-5508. 6 p.
  Research output: Contribution to conference › Paper › 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
  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
  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., 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., 7 Nov 2002, p. 4177-4182. 6 p.
  Research output: Contribution to conference › Paper › peer-review
• 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
  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