Petersen, Ian (UNSW at ADFA)

Nonlinear Guaranteed Cost Control of Stochastic Uncertain Systems with Generalized Monotonic Nonlinearities Via an IQC Approach

Scheduled for presentation during the Regular Session "Nonlinear Control III" (FrP10), Friday, July 28, 2006, 17:25−17:50, Room 103

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

This paper presents a new approach to constructive output feedback robust nonlinear controller design based on the use of Integral Quadratic Constraints and minimax LQG control. The approach involves a class of controllers which include copies on the nonlinearities in the controller. The nonlinearities being considered are those which satisfy a certain generalized monotonicity condition. The linear part of the controller is synthesized using minimax LQG control theory which is closely related to H infinity control theory. This leads to a nonlinear output feedback controller which gives an upper bound on the closed loop value of a quadratic cost functional.