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A New Method to Reliable H∞ Control of Nonlinear Stochastic Systems with Actuator Faults

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Abstract

By presenting actuator faults as a Markov process, this paper is concerned with the reliable \(H_{\infty }\) control of stochastic nonlinear systems which are approximated by an Itô-type Takagi–Sugeno fuzzy structure with an affine structure. The objective is to probe a static output \(H_\infty\) control scheme such that the resultant closed-loop system is stochastically stable with the required \(H_\infty\) performance. To realize this aim, with the help of Lyapunov stability and robust methodologies, a new method to solve the static output controller is established in the framework of linear matrix inequalities. Compared with the existing result, the proposed method renders a less conservative \(H_\infty\) performance level \(\gamma\), which is verified by numerical examples.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grants (61773200, 61403189), the peak of six talents in Jiangsu Province under Grant 2015XXRJ-011, the Doctoral Foundation of Ministry of Education of China under Grant 20133221120012, the Natural Science Foundation of Jiangsu Province of China under Grant BK20130949.

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  1. College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing, 211816, China

    Aihua Chen & Mouquan Shen

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  1. Aihua Chen
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  2. Mouquan Shen
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Correspondence to Mouquan Shen.

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Chen, A., Shen, M. A New Method to Reliable H∞ Control of Nonlinear Stochastic Systems with Actuator Faults. Int. J. Fuzzy Syst. 21, 60–71 (2019). https://doi.org/10.1007/s40815-018-0539-7

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  • DOI: https://doi.org/10.1007/s40815-018-0539-7

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