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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
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
 全文: PDF(331 KB)  
摘要： 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    
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
收稿日期: 2010-07-07 出版日期: 2011-06-07
CLC:  TP13  
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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/CN/10.1631/jzus.C1000240    或    http://www.zjujournals.com/xueshu/fitee/CN/Y2011/V12/I6/464

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