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Dynamic Output Feedback Control of Switched Repeated Scalar Nonlinear Systems

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Abstract

The goal of this paper is to provide a solution to dynamic output feedback control problems of discrete-time switched systems with repeated scalar nonlinearities. Based on the switching-sequence-dependent Lyapunov functional and the positive definite diagonally dominant matrix techniques, a feasible stability solution is first proposed that not only reduces the conservativeness of the resulting closed-loop dynamic system, but also guarantees the concerned switched system is asymptotically stable with a prescribed \(\mathcal {H}_{\infty }\) disturbance attenuation performance. A desired full-order output feedback controller is also designed by introducing the projection technique and a cone complementarity linearization algorithm to convert the non-convex feasibility solution into some finite sequential minimization problems. Thus, the output feedback control parameters can be validly calculated using the standard MATLAB toolbox. Finally, the advantages and the effectiveness of the designed output feedback control technique are demonstrated by the simulation results.

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Author information

Authors and Affiliations

  1. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Zhong Zheng & Ligang Wu

  2. College of Automation, Chongqing University, Chongqing, 400044, China

    Xiaojie Su

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  1. Zhong Zheng
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  2. Xiaojie Su
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  3. Ligang Wu
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Correspondence to Xiaojie Su.

Additional information

This work was supported in part by the National Natural Science Foundation of China (61403048, 61525303), the Basic and Frontier Research Project of Chongqing (cstc2015jcyjA40005), the Top-Notch Young Talents Program of China (L. Wu), the Heilongjiang Outstanding Youth Science Fund (JC201406), the Fok Ying Tung Education Foundation (141059), and the Fundamental Research Funds for the Central Universities (106112016CDJZR175509, 106112015CDJXY170001).

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Zheng, Z., Su, X. & Wu, L. Dynamic Output Feedback Control of Switched Repeated Scalar Nonlinear Systems. Circuits Syst Signal Process 36, 3206–3221 (2017). https://doi.org/10.1007/s00034-016-0472-7

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  • DOI: https://doi.org/10.1007/s00034-016-0472-7

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