Xie, Wei (Kitami Inst. of Tech.), Eisaka, Toshio (Kitami Inst. of Tech.)

Generalized Internal Model Control for Linear Parameter Varying Systems

Scheduled for presentation during the Regular Session "Uncertain systems" (FrP03), Friday, July 28, 2006, 15:45−16:10, Room C2

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

A two-degree-of-freedom controller architecture and its design strategy for Linear Parameter Varying (LPV) systems, where the dependent parameters are assumed to be measurable, are proposed in Generalized Internal Model Control (GIMC) framework. First, coprime factorisation and Youla Parameterisation for LPV systems are introduced based on a parameter-dependent Lyapunov function. Then, GIMC architecture for Linear Time Invariant (LTI) systems is ex-tended to LPV systems with these descriptions. Based on this architecture, good tracking performance and good robustness (disturbance rejection) are compatibly achieved by a nominal controller and a conditional controller, respectively. Fur-thermore, each controller design problem is formulated in terms of Linear Matrix Inequalities (LMIs) related to each L2-gain performance.