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Global Disturbance Rejection of Switched Nonlinear Systems with Switched Internal Model

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Abstract

This paper investigates the problem of global disturbance rejection for a class of switched nonlinear systems where the solvability of the disturbance rejection problem for subsystems is not assumed. The disturbances are assumed to be sinusoidal with completely unknown frequencies, phases and amplitudes. First, as an extension of the classic concept of internal model for non-switched systems, a switched internal model is proposed. Second, in order to solve the problem under study, an adaptive control method is established on the basis of the multiple Lyapunov functions method. Also, adaptive state-feedback controllers of subsystems are designed and incorporated with a switching law to asymptotically reject the unknown disturbances. Finally, an example is provided to demonstrate the effectiveness of the proposed design method.

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Lijun Long

  2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, China

    Lijun Long

Authors
  1. Lijun Long
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Correspondence to Lijun Long.

Additional information

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61773100 and 61773098, and IAPI Fundamental Research Funds under Grant No. 2013ZCX03-02, and Fundamental Research Funds for the Central Universities under Grant No. N150404024.

This paper was recommended for publication by Guest Editor XIN Bin.

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Long, L. Global Disturbance Rejection of Switched Nonlinear Systems with Switched Internal Model. J Syst Sci Complex 31, 161–172 (2018). https://doi.org/10.1007/s11424-018-7358-7

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  • DOI: https://doi.org/10.1007/s11424-018-7358-7

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