H disturbance attenuation for state delayed systems |
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Authors: | Jian-Bo He Qing-Guo Wang Tong-Heng Lee |
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Affiliation: | Department of Electrical Engineering, National University of Singapore, 10 Kent Ridge Crescemt, Singapore 119260, Singapore |
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Abstract: | In this note, the differential game and dissipation inequality are applied to the disturbance attenuation or H∞-control for linear systems with delayed state. Firstly, a simple sufficient condition on the existence of a γ-suboptimal H∞ state feedback controller is given, which is independent of delay, and an observer-based dynamic output feedback solution is presented in terms of Riccati inequalities (or Riccati equations). Secondly, a sufficient condition on the existence of a delay-dependent state feedback is presented and the criterion is presented by a matrix inequality which can be solved by numerical methods. |
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Keywords: | H∞ control Disturbance attenuation Differential game Dissipation inequality Riccati equations State delayed systems |
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