| 摘要: |
|
| 关键词: |
| DOI： |
| Received:August 25, 2004Revised:April 16, 2005 |
| 基金项目: |
|
| H-infinity control for cascade minimum-phase switched nonlinear systems |
| Shengzhi ZHAO, Jun ZHAO |
| (Key Laboratory of Process Industry Automation,Ministry of Education, Northeastern Universi ty,Shenyang Liaoning 110004,China;Department of Mathematics,Liaoning University,Shenyang Liaoning 110036,China) |
| Abstract: |
| This paper is concerned wi th the H-infinity control problem for a class of cascade switched nonlinear systems.Each switched syste m in this class is composed of a zero-input asymptotically stable nonlinear part,which is also a switched system,and a linearizable part which i s controllable.Conditions under which the H-infinity con trol problem is solvable under arbitrary switching l aw and under some designed switching law are der ived respectively.The nonlinear state feedback and s witching law are designed.We exploit the structural characteristics of the switched nonlinear systems t o construct common Lyapunov functions for arbitrary switching and to find a single Lyapunov function for designed switching law.The proposed methods do not rely on the solutions of Hamilton-Jacobi in equalities. |
| Key words: Switched nonlinear systems H-infini ty control Common Lyapunov functions Single Lyapunov functions |
