David Mayne

Professor Emeritus and Senior Research Investigator

Control and Power Research Group

Department of Electrical and Electronic Engineering

Imperial College London

Exhibition Road,
London SW7 2BT,
United Kingdom

Phone: +44 20 7594 6287/1
Fax: +44 20 7594 6282
E-mail: d.mayne@imperial.ac.uk

  • Higher Education

    • D.Sc.(Eng) and Ph.D., University of London

    M.Sc.(Eng) and B.Sc.(Eng), University of the Witwatersrand
  • Membership of Professional Societies
    •

    Institute of Electrical and Electronic Engineers, Fellow 1981

    The Institution of Engineering and Technology, Fellow 1980
  • Awards and Honors
    •  IET Heaviside Premium (1979 & 1984), Sir Harold Hartley Medal (1986), EPSRC Senior Research Fellow (1979-1980), Doctor of Technology, honoris causa, Lund University (1995), Fellow of the Royal Society, London (1985), Fellow of the Royal Academy of Engineering (1987), Foreign Member of Academia Nacional de Ingeniera, Mexico (1981), Fellow of Imperial College (2000), IFAC Fellow (2006), Honorary Professor of Beihang University, Beijing (2006), IEEE Control Systems Award (2009).
  • Research Interests
    •

    Optimization and optimization based design, non-linear control, control of constrained systems, model predictive control, and adaptive control.

     
  • Selected Publications
    •

    (i) Books

    D. H. Jacobson and D. Q. Mayne, Differential Dynamic Programming, volume 24 in Modern Analytic and Computational Methods in Science and Mathematics, Elsevier, 1970.

    D. Q. Mayne and R. W. Brockett (editors), Geometric Methods in System Theory, D. Reidel Publishing Co., (1973).

    (ii) Some early papers

    D. Q. Mayne, Optimal Non-Stationary Filters, Chapter 7 in An Exposition of Adaptive Control, Pergamon Press, 1962.

    D. Q. Mayne, Optimal Non-Stationary Estimation of the Parameters of a Linear System with Gaussian Inputs, Journal of Electronics and Control, 14(1): 101--112, 1963.

    D. Q. Mayne, Parameter Estimation, Automatica, 3(3/4):245--256, 1966.

    D. Q. Mayne, A Gradient Method for Determining Optimal Control of Nonlinear Stochastic Systems, Proceedings of IFAC Symposium, Theory of Self-Adaptive Control Systems, editor P. H. Hammond, Plenum Press, 19--27, 1965.

    D. Q. Mayne, A Solution of the Smoothing Problem for Linear Dynamic Systems", Automatica, 4:73--92, 1966.

    D. Q. Mayne, A Second-Order Gradient Method for Determining Optimal Trajectories of Nonlinear Discrete-Time Systems, International Journal of Control, 3:85--95, 1966.

    G. F. Bryant and D. Q. Mayne, A Minimum Principle for a Class of Discrete-Time Stochastic Systems, IEEE Transactions Automatic Control, 14(4):401--403, 1969.

    J. E. Handschin and D. Q. Mayne, Monte Carlo Techniques to Estimate the Conditional Expectation in Multistage Nonlinear Filtering, International Journal of Control, 9(5):547--559, 1966.

    D. Q. Mayne, Differential Dynamic Programming---a Unified Approach to Optimal Control, in Advances in Control Systems, editor C. T. Leondes, Academic Press, 10: 179--254, 1973.

    G. F. Bryant and D. Q. Mayne, The Maximum Principle, International Journal of Control, 20(6):1021--1054, 1974.

    (iii) Some papers on optimization and optimal control

    Mayne, D. Q. and Polak, E., First Order, Strong Variations Algorithms for Optimal Control, Journal of Optimization Theory and Applications, 16(3/4):277--301, 1975.

    D. Q. Mayne and E. Polak, Feasible Directions Algorithms for Optimization Problems with Equality and Inequality Constraints, Mathematical Programming, 11(1):67--80, 1976.

    Polak, E. and Mayne, D. Q., An Algorithm for Optimization Problems with Functional Inequality Constraints, IEEE Transactions on Automatic Control, 21(2):184--193, 1976.

    D. Q. Mayne, Sufficient Conditions for a Control to be a Strong Minimum, Journal of Optimization and Applications, 21(3):339--352, 1977.

    D. Q. Mayne, E. Polak and R. Trahan, An Outer Approximations Algorithm for Computer Aided Design Problems, Journal of Optimization and Applications, 28(3):231--352, 1979.

    Mayne, D. Q. and Polak, E., An Exact Penalty Function Algorithm for Control Problems with Control and Terminal Equality Constraints---Part 1, Journal of Optimization and Applications, 32(2):211--246, 1980.

    Mayne, D. Q. and Polak, E., An Exact Penalty Function Algorithm for Control Problems with Control and Terminal Equality Constraints---Part 2, Journal of Optimization and Applications, 32(3):345--363, 1980.

    Polak, E. and Mayne, D. Q., On the Solution of Singular Value Inequalities over a Continuum of Frequencies, IEEE Transactions on Automatic Control, 26(3):690--695, 1981.

    Polak, E. and Mayne, D. Q., Design of Nonlinear Feedback Controllers, IEEE Transactions on Automatic Control, 26(3):730--733, 1981.

    Mayne, D. Q., Polak, E. and Voreadis, A., A Cut Map Algorithm for Design Problems with Tolerances, IEEE Transactions on Circuits and Systems, 29(1):35--46, 1982.

    Mayne, D. Q. and Polak, E., Nondifferentiable Optimization via Adaptive Smoothing, Journal of Optimization and Applications, 43(4):601--613, 1984.

    D. Q. Mayne and E. Polak, A Superlinearly Convergent Algorithm for Constrained Optimization Problems, Mathematical Programming Studies, 16:45--61, 1982.

    Polak, E., Mayne, D. Q. and Stimler, D. M., Control System Design via Semi-Infinite Optimization, Proceedings of the IEEE, 72(12):1777--1795, 1984.

    E. Polak and D. Q. Mayne, Algorithm Models for Non-Differentiable Optimization, SIAM Journal of Control and Optimization, 23:477--491, 1985.

    Pantoja, J. F. A. de O. and D. Q. Mayne, A Sequential Quadratic Programming Algorithm for Discrete Optimal Control Problems with Control Inequality Constraints, International Journal of Control, 53(4):823--836, 1991.

    E. Polak, T. H. Yang and D. Q. Mayne, A Method of Centers Based on Barrier Functions for Solving Optimal Control Problems with Continuum State and Control Constraints, in New Trends in System Theory, editors G. Conte, A. M. Perdon and B. Wyman, Birkhauser, 591--598, 1991.

    (iv) Some papers on identification and adaptive control:

    A. Osorio Cordero and D. Q. Mayne, Deterministic Convergence of a Self Tuning Regulator with Variable Forgetting Factor", Proceedings of the IEE, 128 Part D (1):19--23, 1981.

    D. Q. Mayne and F. Firoozan, Linear Identification of {ARMA} Processes, Automatica, 18(8):461--466, 1982.

    D. Q. Mayne, K. J. Astrom and J. M. C. Clark, A New Algorithm for Recursive Estimation of Parameters in Controlled {ARMA} Processes, Automatica, 20(6):751--760, 1984.

    G. C. Goodwin and D. Q. Mayne, A Parameter Estimation Perspective of Continuous Time Model Reference Adaptive Control, Automatica, 23(1):57--70, 1987.

    Middleton, R. H., Goodwin, G. C., Hill, D. J. and Mayne, D. Q., Design Issues in Adaptive Control, IEEE Transactions on Automatic Control, 33(1):50--58, 1988.

    A. S. Morse, D. Q. Mayne and G. C. Goodwin, Identifier-Based, Switched-Parameter Algorithms for the Adaptive Stabilization of Linear Systems, in Proceedings 6th Yale Workshop on Adaptive and Learning Systems, 7--13, 1990.

    A. S. Morse, D. Q. Mayne and G. C. Goodwin, Applications of Hysteresis Switching in Parameter Adaptive Control, IEEE Transactions on Automatic Control, 37(9):1343--1354, 1992.

    (iv) Papers on model predictive control:

    Mayne, D. Q. and Michalska, H., Receding Horizon Control of Non-Linear Systems, IEEE Transactions on Automatic Control, 35(5):814--824, 1990.

    H. Michalska and D. Q. Mayne, Receding Horizon Control of Non-Linear Systems without Differentiability of the Optimal Value Function, Systems and Control Letters, 16(2):123--130, 1991.

    H. Michalska and D. Q. Mayne, Robust Receding Horizon Control of Constrained Nonlinear Systems, IEEE Transactions on Automatic Control, 38(11):1623--1632, 1993.

    H. Michalska and D. Q. Mayne, Moving Horizon Observers and Observer-Based Control, IEEE Transactions on Automatic Control, 40(6):995--1006, 1995.

    D. Q. Mayne, Optimization in Model Predictive Control, in Methods of Model Based Process Control, Nato Advanced Study Institute series: E Applied Sciences 293, Kluwer Academic Publishers, 367--398, 1995.

    Mayne, D. Q., Optimization in model based control, in Proceedings of the {IFAC} symposium on dynamics and control chemical reactors and batch processes (Dycord+'95), Elsevier Science, 229--242, 1995.

    Mayne, D. Q. and Schroeder, W. R., Robust time-optimal control of constrained linear systems, Automatica, 33(12):2103--2118, 1997.

    D. Q. Mayne, Nonlinear model predictive control: an assessment, in Chemical Process Control-V: Assessment and New Directions for Research, AIChE Symposium Series No. 316, American Institute of Chemical Engineers and Computer Aids for Chemical Engineering Education, editors Jeffrey C. Kantor, Carlos E. Garcia and Brice Carnahan, 219--231, 1997.

    P. O. M. Scokaert and D. Q. Mayne, Min-max feedback model predictive control for constrained linear systems, IEEE Transactions on Automatic Control, 43(8):1136--1142, 1998.

    P. O. M. Scokaert, D. Q. Mayne and J. B. Rawlings, Suboptimal model predictive control (feasibility implies stability), IEEE Transactions on Automatic Control, 44(3):648--654, 1999.

    D. Q. Mayne, Nonlinear model predictive control: challenges and opportunities, in Nonlinear Model Predictive Control, editors Frank Allgower and Alex Zheng, Birkhauser Verlag, 23-44, 2000.

    D. Q. Mayne, J. B. Rawlings, C. V. Rao and P. O. M. Scokaert, Constrained model predictive control: stability and optimality, Automatica, 36(6):789--814, 2000.

    D. Q. Mayne, Control of constrained dynamic systems, European Journal of Control,7(2-3):87--89, 2001.

    D. Q. Mayne and W. Langson, Robustifying model predictive control of constrained linear systems, Electronic Letters, 37(23):1422--1423, 2001.

    Christopher V. Rao, James B. Rawlings and David Q. Mayne, Constrained State Estimation for Nonlinear Constrained Discrete-Time Systems: Stability and Moving Horizon Approximations, IEEE Transactions on Automatic Control, 48(2):246--258, 2003.

    D. Q. Mayne and S. Rakovic, Model Predictive Control of Constrained Piecewise Affine Discrete-time Systems, International Journal of Robust and Nonlinear Control, 13(3-4):261--279, 2003.

    Wilbur Langson, Ioannis Chryssochoos, Sasa Rakovic and David Mayne, Robust Model Predictive Control using Tubes, Automatica, 40(1):125--133, 2004.

    D. Q. Mayne and M. M. Seron and S. V. Rakovic, Robust model predictive control of constrained linear systems with bounded disturbances, Automatica, 41(2):219--224, 2005.

    S. V. Rakovic, E.C. Kerrigan, K.I. Kouramas and D. Q. Mayne, Invariant approximations of the minimal robustly positively invariant sets, IEEE Transactions on Automatic Control, 50(3):406--410, 2005.

    D. Q. Mayne, S. V. Rakovic, R. B. Vinter and E. C. Kerrigan, Characterization of the solution to a constrained H-infty optimal control problem, Automatica, 42(3):371--382, 2006.

    S. V. Rakovic, E. C. Kerrigan, D. Q. Mayne and J. Lygeros, Reachability Analysis of Discrete-Time Systems With Disturbances, IEEE Transactions on Automatic Control, 51(4):546--561, 2006.

    D. Q. Mayne, S. V. Rakovic, R. Findeisen and F. Allgower, Robust output feedback model predictive control of constrained linear systems, Automatica, 42(7):1217--1222, 2006.

    S. V. Rakovic, E. C. Kerrigan, D. Q. Mayne and K. I. Kouramas, Optimized Robust Control Invariance for Linear Discrete--Time Systems: Theoretical Foundations, Automatica, 3(5):831--845, 2007.

    D. Q. Mayne, S. V. Rakovic, R. Findeisen and F. Allgower, Robust output feedback model predictive control of constrained linear systems: time varying case, Automatica, in press, 2009.

    J. Spjotvold, E. C. Kerrigan, D. Q. Mayne and T. A. Johansen, Inf-sup control of discontinuous piecewise affine systems, International Journal of Robust and Nonlinear Control, accepted, 2009.

    Last update: July 2009