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Tracking and \(\varvec{H_\infty }\) control of constrained nonlinear switched systems in strict feedback form

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Abstract

This paper deals with the problems of tracking and \(H_\infty \) control for output-constrained and state-constrained nonlinear switched systems in strict feedback form. Under a mild condition on the initial output tracking error and the simultaneous domination assumption, a novel approach is proposed to design controller such that the output tracking error converges to zero asymptotically and is always within a pre-specified limit range. Smooth or \(p\)-times differentiable unbounded functions are introduced and incorporated in output tracking error transformations to complete the control design. Furthermore, the developed method is extended to the state-constrained \(H_\infty \) control problem for a class of nonlinear switched systems with disturbance input. Finally, simulation examples are provided to demonstrate the applicability of the presented results.

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Authors and Affiliations

  1. College of Mathematics and Physics, Bohai University, Jinzhou, 121013, Liaoning, People’s Republic of China

    Ben Niu & Xiaodong Fan

  2. College of Engineering, Bohai University, Jinzhou, 121013, Liaoning, People’s Republic of China

    Xudong Zhao & Xuebo Yang

  3. College of Control Science and Engineering, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Ben Niu

Authors
  1. Ben Niu
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  2. Xudong Zhao
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  3. Xuebo Yang
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  4. Xiaodong Fan
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Corresponding author

Correspondence to Ben Niu.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 61304054, 61203122 and 61203123), the Program for Liaoning Provincial Excellent Talents in University, China (Nos. LJQ2014122, LR2014035), the Program for Doctoral Scientific Research Starting Foundation of Liaoning Province, China (No. 20141139), and the Program for Educational Commission of Liaoning Province, China (No. L2014443), and the Natural Science Foundation of Liaoning Province of China (No. 2013020023).

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Niu, B., Zhao, X., Yang, X. et al. Tracking and \(\varvec{H_\infty }\) control of constrained nonlinear switched systems in strict feedback form. Nonlinear Dyn 80, 87–100 (2015). https://doi.org/10.1007/s11071-014-1853-8

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  • DOI: https://doi.org/10.1007/s11071-014-1853-8

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