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Controller Design for Input-Saturated Discrete-Time Switched Systems with Stochastic Nonlinearity

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Abstract

In this paper, we study the mean-square exponential stability of the input-saturated discrete-time switched systems with stochastic nonlinearity. The main contributions are as follows: (1) Based on the low-gain feedback control and the discrete parametric Lyapunov equation, a state feedback controller and an output feedback controller are designed; (2) the input saturation and stochastic nonlinearity are solved; and (3) the stability of the system is analyzed and the closed-loop system is mean-square exponentially stable under the designed controllers. The validity of the theoretical results is verified by the numerical simulations.

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Funding

This work is supported by the Zhejiang Provincial Natural Science Foundation of China [grant number LY22F030002] and the National Natural Science Foundation of China [grant numbers 61503105, 61973102].

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Authors and Affiliations

  1. School of Automation, Hangzhou Dianzi University, Hangzhou, 310018, China

    Qian Wang & Qingxia Lin

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  1. Qian Wang
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  2. Qingxia Lin
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Correspondence to Qian Wang.

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Wang, Q., Lin, Q. Controller Design for Input-Saturated Discrete-Time Switched Systems with Stochastic Nonlinearity. Circuits Syst Signal Process 42, 3341–3359 (2023). https://doi.org/10.1007/s00034-022-02273-3

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  • DOI: https://doi.org/10.1007/s00034-022-02273-3

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