Mixed Control for Itô-type Stochastic Time-Delay Systems with Applications to Clothing Hanging Device

Yan Qi, Min Zhang and Zhiguo Yan

Mathematical Problems in Engineering, 2020, vol. 2020, 1-9

Abstract:

This paper deals with the problem of mixed / control for Itô-type stochastic time-delay systems. First, the / control problem for stochastic time-delay systems is presented, which considers the mean square stability, control performance index, and the ability of disturbance attenuation of the closed-loop systems. Second, by choosing an appropriate Lyapunov–Krasoviskii functional and using matrix inequality technique, some sufficient conditions for the existence of state feedback / controller for stochastic time-delay systems are obtained in the form of linear matrix inequalities. Third, two convex optimization problems with linear matrix inequality constraints are formulated to design the optimal mixed / controller which minimizes the guaranteed cost of the closed-loop systems with known and unknown initial functions, and the corresponding algorithm is given to optimize / performance index. Finally, a numerical example is employed to show the effectiveness and feasibility of the proposed method.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4298230

DOI: 10.1155/2020/4298230

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