Communications in Information and Systems

Volume 2 (2002)

Number 3

On robust $H_{\infty}$ control for nonlinear uncertain systems

Pages: 255 – 264

DOI: http://dx.doi.org/10.4310/CIS.2002.v2.n3.a3

Authors

Guoping Lu (Department of Applied Mathematics, Nantong Institute of Technology, Nantong, Jiangsu, China)

Daniel W. C. Ho (Department of Mathematics, City University of Hong Kong)

Abstract

This paper addresses robust $H_{\infty}$ control problems for nonlinear systems with parameter uncertainty. By using the technique of partition of unity, necessary and sufficient conditions for existence of strong robust $H_{\infty}$ dynamic compensators and static state feedback controllers are established in terms of nonlinear matrix inequality (NLMI) approach, respectively. These conditions reduce the robust $H_{\infty}$ control problems to a standard $H_{\infty}$ problem for an auxiliary nonlinear system.

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