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Tracking control of the linear differential inclusion

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Abstract

The tracking control of linear differential inclusion is discussed. First, the definition of uniformly ultimate boundedness for linear differential inclusion is given. Then, a feedback law is constructed by using the convex hull Lyapunov function. The sufficient condition is given to guarantee the tracking error system uniformly ultimately bounded. Finally, a numerical example is simulated to illustrate the effectiveness of this control design.

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Authors and Affiliations

  1. School of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Jun Huang & Zheng-zhi Han

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  1. Jun Huang
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  2. Zheng-zhi Han
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Correspondence to Jun Huang.

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Project (No. 61074003) supported by the National Natural Science Foundation of China

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Huang, J., Han, Zz. Tracking control of the linear differential inclusion. J. Zhejiang Univ. - Sci. C 12, 464–469 (2011). https://doi.org/10.1631/jzus.C1000240

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  • DOI: https://doi.org/10.1631/jzus.C1000240

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