Non-fragile positive real control for uncertain linear neutral delay systems |
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Authors: | Shengyuan Xu James Lam Jianliang Wang Guang-Hong Yang |
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Affiliation: | a Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong;b School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore;c Temasek Laboratories, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore |
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Abstract: | This paper is concerned with the problem of non-fragile positive real control for uncertain neutral delay systems with time-invariant norm-bounded parameter uncertainty. Time delays are assumed to appear in both the state and the controlled output equations. The state feedback gains are with norm-bounded controller uncertainties. For both the cases with additive and multiplicative controller uncertainties, we address the problem of designing memoryless state feedback controllers such that, for all admissible uncertainties, the resulting closed-loop system is stable and the closed-loop transfer function is extended strictly positive real. Sufficient conditions for the existence of desired controllers are given in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, the expected memoryless state feedback controller can be easily constructed via convex optimization. An illustrative example is given to demonstrate the validity and applicability of the proposed approach. |
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Keywords: | Author Keywords: Controller fragility Delay systems Fragile Linear matrix inequality Neutral systems Positive real control Uncertain systems |
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