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Zbl 1179.93088
Alpaslan Parlakç i, M.N.
Robust delay-dependent guaranteed cost controller design for uncertain neutral systems. (English)
[J] Appl. Math. Comput. 215, No. 8, 2936-2949 (2009). ISSN 0096-3003

Summary: A novel robust delay-dependent guaranteed cost controller is introduced for a class of uncertain nonlinear neutral systems with both norm-bounded uncertainties and nonlinear parameter perturbations. A neutral memory state-feedback control law is chosen such that a quadratic cost function is minimized. On the basis of a descriptor type model transformation, an augmented descriptor form Lyapunov-Krasovskii functional is proposed in order to derive a Linear Matrix Inequality (LMI) condition of the synthesis of a robust stabilizing guaranteed cost controller for uncertain nonlinear neutral systems. The descriptor approach is applied for both the delay-differential equation and the neutral difference operator allowing to introduce several additional free weighting matrices in order to obtain further relaxation in the synthesis process. The proposed method of introducing some relaxation into design problem also leads to develop LMI conditions which can be easily solved using interior point algorithms. Two numerical examples have been introduced to show the application of the theoretical results which indicate that the proposed approach improves the guaranteed cost performance.

MSC 2000:: *93B52 Feedback control
15A39 Linear inequalities
93D21 Adaptive and robust stabilization
93C73 Perturbations in control systems

Keywords: neutral systems; descriptor representation; uncertainty; parameter perturbations; quadratic cost; linear matrix inequality

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