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| DOI： |
| Received:March 29, 2006Revised:October 27, 2006 |
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| Observer-based robust H-infinity control for uncertain switched systems |
| Zhengyi SONG, Jun ZHAO |
| (Key Laboratory of Process Industry Automation Ministry of Education China, Northeastern University, Shenyang Liaoning 110004, China;School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China) |
| Abstract: |
| The problem of observer-based robust H-infinity control is addressed for a class of linear discrete-time switched systems with time-varying norm-bounded uncertainties by using switched Lyapunov function method. None of
the individual subsystems is assumed to be robustly H-infinity solvable. A novel switched Lypunov function matrix with diagonal-block form is devised to overcome the difficulties in designing switching laws. For robust H-infinity stability analysis, two linear-matrix-inequality-based sufficient conditions are derived by only using the smallest region function strategy if some parameters are preselected. Then, the robust H-infinity control synthesis is studied using a switching state feedback and an observer-based switching dynamical output feedback. All the switching laws are simultaneously constructively designed. Finally, a simulation example is given to illustrate the validity of the results. |
| Key words: Linear discrete-time switched system Robust H-infinity control Switched Lyapunov function Linear matrix inequality (LMI) |
