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Improved Controller Design with Two Gain-scaling Factors for Global Asymptotic Stabilization of Nonlinear Systems via Matrix Inequality Approach

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Abstract

In this paper, we consider a problem of global asymptotic stabilization for nonlinear systems with the perturbed nonlinearity. We provide a stabilizing controller with two gain-scaling factors and a new controller design method with matrix inequality approach. In particular, we provide a new procedure for selecting gain-scaling factors which are associated with stabilizing the closed-loop system. As a result, our proposed control method widens the class of considered nonlinear systems and yields better control performance over the existing methods. Via several comparison examples, we illustrate the improved features of the proposed control method over the existing ones.

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Authors and Affiliations

  1. Department of Electrical Engineering, Dong-A University, 840 Hadan2-Dong, Saha-gu, Busan, 49315, Korea

    Sang-Young Oh & Ho-Lim Choi

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  1. Sang-Young Oh
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  2. Ho-Lim Choi
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Correspondence to Ho-Lim Choi.

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This work was supported by the Dong-A University research fund.

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Oh, SY., Choi, HL. Improved Controller Design with Two Gain-scaling Factors for Global Asymptotic Stabilization of Nonlinear Systems via Matrix Inequality Approach. Int. J. Control Autom. Syst. 19, 3543–3549 (2021). https://doi.org/10.1007/s12555-020-0770-5

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  • DOI: https://doi.org/10.1007/s12555-020-0770-5

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