主题：THE INTERNAL MODEL PRINCIPLE OF CONTROL THEORY
内容简介：The Internal Model Principle (IMP) of control theory states (informally) that "a good controller incorporates a model of the dynamics that generate the signals which the control system is intended to track." Briefly, the controller contains a model of its "exosystem", or "outside world." While more formal statements have appeared in the control literature starting in the 1970s, these have been developed only within rather specialized frameworks such as linear multivariable systems or certain nonlinear systems defined on smooth manifolds. Our aim in this lecture is to develop a version of the IMP in as elementary a setting as possible, namely just that of plain sets and functions. In particular we discuss the necessity of feedback, and how from feedback structure the controller's internal model structure can be naturally derived. While many questions remain open, this setting has the appeal of being universal and readily specialized. To make the lecture self-contained we start with a review of basic material on classical control, dynamical systems, and commutative diagrams.
W.M. Wonham received the B. Eng. degree in engineering physics from McGill University in 1956, and the Ph.D. in control engineering from the University of Cambridge (U.K.) in 1961. From 1961 to 1969 he was associated with several U.S. research groups in control. Since 1970 he has been a faculty member in Systems Control, with the Department of Electrical and Computer Engineering of the University of Toronto. Wonham's research interests have included stochastic control and filtering, geometric multivariable control, and discrete-event systems. He is the author of "Linear Multivariable Control: A Geometric Approach" (Springer-Verlag: 3rd ed. 1985) and co-author (with C. Ma) of "Nonblocking Supervisory Control of State Tree Structures" (Springer-Verlag: 2005). Wonham is a Fellow of the Royal Society of Canada, a Life Fellow of the IEEE, a Foreign Member of the (U.S.) National Academy of Engineering, and an Honorary Professor of the Beijing University of Aeronautics and Astronautics. In 1987 he received the IEEE Control Systems Science and Engineering Award and in 1990 was Brouwer Medallist of the Netherlands Mathematical Society. In 1996 he was appointed University Professor in the University of Toronto, and in 2000 University Professor Emeritus.