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Front. Inform. Technol. Electron. Eng.  2011, Vol. 12 Issue (6): 464-469    DOI: 10.1631/jzus.C1000240
    
Tracking control of the linear differential inclusion
Jun Huang, Zheng-zhi Han
School of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
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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.

Key words： Linear differential inclusions      Tracking control      Convex hull Lyapunov functions      Uniformly ultimate boundedness     
Received: 07 July 2010      Published: 07 June 2011
CLC:  TP13  
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Jun Huang
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Cite this article:

Jun Huang, Zheng-zhi Han. Tracking control of the linear differential inclusion. Front. Inform. Technol. Electron. Eng., 2011, 12(6): 464-469.

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http://www.zjujournals.com/xueshu/fitee/10.1631/jzus.C1000240     OR     http://www.zjujournals.com/xueshu/fitee/Y2011/V12/I6/464


Tracking control of the linear differential inclusion

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.

关键词： Linear differential inclusions,  Tracking control,  Convex hull Lyapunov functions,  Uniformly ultimate boundedness 
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