Robust H∞ control for uncertain discrete-time systems with circular pole constraints |
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Authors: | Shengyuan Xu Chengwu Yang Shaosheng Zhou |
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Affiliation: | a 810 Division, School of Power Engineering, Nanjing University of Science & Technology, Nanjing, 210094, People's Republic of China;b Research Institute of Automation, Southeast University, Nanjing, 210096, People's Republic of China |
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Abstract: | This paper investigates the problem of robust H∞ control for uncertain discrete-time systems with circular pole constraints. The system under consideration is subject to norm-bounded time-invariant uncertainties in both the state and input matrices. The problem we address is to design state feedback controllers such that the closed poles are located within a prespecified circular region, and the H∞ norm of the closed-loop transfer function is strictly less than a given positive scalar for all admissible uncertainties. By introducing the notion of quadratic d stabilizability with an H∞ norm-bound, the problem is solved. Necessary and sufficient conditions for quadratic d stabilizability with an H∞ norm-bound are derived. Our results can be regarded as extensions of existing results on robust H∞ control and robust pole assignment of uncertain systems. |
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Keywords: | Robust H∞ control with circular pole constraints Uncertain discrete-time systems State feedback Time-invariant uncertainty |
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