Robust dissipative control for linear systems with dissipative uncertainty and nonlinear perturbation

✍ Scribed by Shoulie Xie; Lihua Xie

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 738 KB
• Volume: 29
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(97)90009-8

✦ Synopsis

This paper focuses on t]he problem of dissipative control for linear systems which are subjected to dissipative uncertainty and matched nonlinear perturbation. Specifically, quadratic dissipative uncertainty is considered, which contains normbounded uncertainty, positive real uncertainty and uncertainty satisfying integral quadratic constraints (IQCs) as special cases, We develop a lineal" matrix inequality (LMI) approach for designing a robust nonlinear state feedback controller such that the closed-loop system is quadratic dissipative for all admissible uncertainties. Furthermore, under some condition on the dissipative uncertainty, we show that the controller also guarantees the asymptotic stability of the closed-loop system. As special cases, robust Ha control and robust passive control problems for systems with nonlinear perturbation and norm-bounded uncertainty (respectively, generalized positive real uncertainty) are solved using the LMI approach.