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| YangGUO,YuYAO,ShichengWANG,BaoqingYANG,KaiLIU,XinZHAO |
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| (Department of Research, Xi’an Research Institute of High-Tech; Control and Simulation Center, Harbin Institute of Technology) |
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| Received:August 12, 2011Revised:February 17, 2012 |
| 基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 61004128, 61074160, 61104193). |
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| Finite-time control with H-infinity constraints of linear time-invariant and time-varying systems |
| Yang GUO,Yu YAO,Shicheng WANG,Baoqing YANG,Kai LIU,Xin ZHAO |
| (Department of Research, Xi’an Research Institute of High-Tech; Control and Simulation Center, Harbin Institute of Technology) |
| Abstract: |
| This paper presents finite-time control methods with H-infinity constraints for linear time-invariant (LTI) and time-varying (LTV) systems. The basic idea of the proposed approaches is to construct controllers for the LTI and LTV in such a way that a constant quadratic Lyapunov function and a time-varying quadratic Lyapunov function can be used to establish the finite-time stability and the H-infinity performance of the resulting closed-loop systems. It is shown that the control laws can be obtained by solving a set of linear matrix inequalities (LMIs) and Differential Riccati Inequalities (DRIs) that are numerically feasible with commercially available software. Finally, the results are illustrated by application to the design of guidance law for a class of terminal guidance system. |
| Key words: Finite-time H-infinity control LMIs DRIs Terminal guidance |
