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Tracking control of the linear differential inclusion

Tracking control of the linear differential inclusion
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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. 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.
作者 Jun HUANG Zheng-zhi HAN
机构地区 School of Electronic
出处 《Journal of Zhejiang University-Science C(Computers and Electronics)》 SCIE EI 2011年第6期464-469,共6页 浙江大学学报C辑（计算机与电子（英文版）
基金 Project (No. 61074003) supported by the National Natural Science Foundation of China
关键词 Linear differential inclusions Tracking control Convex hull Lyapunov functions Uniformly ultimate boundedness Linear differential inclusions, Tracking control, Convex hull Lyapunov functions, Uniformly ultimateboundedness
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献22

  • 1Aubin, J., Cellina, A., 1984. Differential Inclusions: Set-Valued Maps and Viability Theory. Springer Verlag, Berlin.
  • 2Botchkarev, O., Tripakis, S., 2000. Verification of hybrid systems with linear differential inclusions using ellipsoidal approximations. LNCS, 1790:73-88. [doi:10.1007/3- 540-46430-1_ 10].
  • 3Boyd, S., Ghaoui, L., Feron, E., Balakrishnan, V., 1994. Linear Matrix Inequlities in System and Control Theory. SIAM, Philadelphia.
  • 4Cai, X., Liu, L., Zhang, W., 2009. Saturated control design for linear differential inclusions subject to disturbance. Nonl. Dynam., 58(3):487-496. [doi:10.1007/s11071-009-9494-z].
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  • 7Goebel, R., Teel, A., Hu, T., Lin, Z., 2004. Dissipativity for Dual Linear Differential Inclusions Through Conjugate Storage Functions. 43rd IEEE Conf. on Decision and Control, p.2700-2705.
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Journal of Zhejiang University-Science C(Computers and Electronics)
2011年 第6期

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