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| Received:December 08, 2009Revised:July 16, 2010 |
| 基金项目:This work was partly supported by the Natural Science Foundation of Heilongjiang Province (No. F200504), and the Scientific and Technical Research Project of the Education Department of Heilongjiang Province (No. 12511002). |
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| Gain-scheduled L-one control for linear parameter-varying systems with parameter-dependent delays |
| Yanhui LI,Yan LIANG |
| (Electrical and Information Engineering College, Northeast Petroleum University) |
| Abstract: |
| This paper deals with the problem of gain-scheduled L-one control for linear parameter-varying (LPV) systems with parameter-dependent delays. The attention is focused on the design of a gain-scheduled L-one controller that guarantees being an asymptotically stable closed-loop system and satisfying peak-to-peak performance constraints for LPV systems with respect to all amplitude-bounded input signals. In particular, concentrating on the delay-dependent case, we utilize parameter-dependent Lyapunov functions (PDLF) to establish peak-to-peak performance criteria for the first time where there exists a coupling between a Lyapunov function matrix and system matrices. By introducing a slack matrix, the decoupling for the parameter-dependent time-delay LPV system is realized. In this way, the sufficient conditions for the existence of a gain-scheduled L-one controller are proposed in terms of the Lyapunov stability theory and the linear matrix inequality (LMI) method. Based on approximate basis function and the gridding technique, the corresponding controller design is cast into a feasible solution problem of the finite parameter linear matrix inequalities. A numerical example is given to show the effectiveness of the proposed approach. |
| Key words: Gain-scheduled L-one control LPV systems Parameter-dependent delays Parameter-dependent Lyapunov functions |
