Friday, May 8

Recent Advances in Nonlinear Control

9:00 AM-10:00 AM
Chair: John A. Burns, Virginia Polytechnic Institute and State University
Room: Salon D

A discouraging obstacle to optimal design of nonlinear dynamical systems has been the H-J-B equation, or its differential game H-J-I counterpart. New recursive procedures for construction of Lyapunov functions offer an alternative route to achieve benefits of optimality without solving the Hamilton-Jacobi equation. They result in control laws with certain passivity and optimality properties. The optimality is "inverse" in the sense that a Lyapunov function is constructed to be the value function of an optimization or a game problem, as well as a storage function guaranteeing passivity or dissipativity. With these properties the designed feedback system is more robust than without them.

The speaker will present recent advances in constructive methods for feedback design of nonlinear systems are reviewed with the emphasis on recursive Lyapunov designs which achieve passivity and inverse optimality.

Petar V. Kokotovic
Center for Control Engineering and Computation
University of California, Santa Barbara

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tjf, 11/17/97
MMD, 12/1/97