Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations
In this paper, we will present new results on robust finite-time H∞ control for linear time-varying systems with both time-varying delay and bounded control. Delay-dependent sufficient conditions for robust finite-time stabilization and H∞ control are first established to guarantee finite-time stability of the closed-loop system via solving Riccati differential equations. Applications to finite-time H∞ control to a class of linear autonomous time-delay systems with bounded control are also discussed in this paper. Numerical examples are given to illustrate the effectiveness of the proposed method.
KeywordsFinite-time stability H∞ control bounded control time-varying delay Riccati equation
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The authors would like to thank anonymous associate editor and reviewers for their valuable comments and suggestions, which allowed us to improve the paper.
- Y. N. Sun, S. L. Liu, Z. R. Xiang. Robust finite-time H ∞ control for uncertain switched neutral systems with mixed delays. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 226, no. 5, pp. 638–650, 2012.Google Scholar
- P. Dorato P. Short time stability in linear time-varying systems. In Proceedings of IRE International Convention Record, IEEE, New York, USA, vol. 4, pp. 83–87, 1961.Google Scholar
- T. Ba¸sar, P. Bernhard. H ∞-Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach, 2nd ed., Basel, USA: Birkhauser, 1995.Google Scholar