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Observer-Based Adaptive Fuzzy Decentralized Control of Uncertain Large-Scale Nonlinear Systems with Full State Constraints

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Abstract

In this paper, the problem of observer-based adaptive fuzzy decentralized control is studied for uncertain large-scale nonlinear systems with full state constraints, input saturation and unmeasurable state. Compared with the existing literature, the state directly measurable problem is relaxed, and the systems with full state constraints and input saturation problem are further considered. In order to solve the controller design difficulties caused by input saturation and state constraints, the auxiliary design functions and the barrier Lyapunov functions are employed, respectively. By utilizing adaptive backstepping technique and Lyapunov stability theorem, an observer-based adaptive fuzzy decentralized control approach is developed. It is proved that all the signals of the closed-loop systems are semi-globally uniformly ultimately bounded and the observer errors are converged on a small neighborhood of the origin. The tracking errors are remained in the bounded compact set, and the full state constraints are not violated. Two practical examples are given to demonstrate the usefulness of the proposed control scheme.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grants 61873056, 61473068, 61273148, 61621004 and 61420106016, the Fundamental Research Funds for the Central Universities in China under Grant N170405004, and the Research Fund of State Key Laboratory of Synthetical Automation for Process Industries in China under Grant 2013ZCX01.

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Authors and Affiliations

  1. College of Sciences, Northeastern University, Shenyang, 110819, People’s Republic of China

    Qiang Zhang & Ding Zhai

  2. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, People’s Republic of China

    Jiuxiang Dong

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  1. Qiang Zhang
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  2. Ding Zhai
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  3. Jiuxiang Dong
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Correspondence to Jiuxiang Dong.

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Zhang, Q., Zhai, D. & Dong, J. Observer-Based Adaptive Fuzzy Decentralized Control of Uncertain Large-Scale Nonlinear Systems with Full State Constraints. Int. J. Fuzzy Syst. 21, 1085–1103 (2019). https://doi.org/10.1007/s40815-018-0595-z

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