Variable Structure Robust Control Algorithm for Uncertain System with the Absence of Matching Assumptions
-
摘要: 针对一类具有不匹配不确定的MIMO系统, 在用理想系统(即不存在不确定性时的系统) 所对应的代数RICCATI方程的解来构造滑动模态超平面的基础上, 提出了一种具有连续性质的变结构鲁棒控制算法, 该算法可确保系统滑动模态运动满足实际稳定性。最后以船舶航向控制系统为例, 进行了变结构鲁棒控制自动舵设计, 通过仿真研究可见, 所提出的算法是有效的Abstract: Based on the method for constructing sliding mode hyperplane with the solution of the algebraic RICCATI equation of normal system, a variable structure robust control algorithm with continuous performance and globally practical stability with respect to the sliding mode of the system is presented for a class of uncertain MIMO systems with the absence of matching assumptions.An example illustrating the method described is included.
-
[1] ASTROM K J, WITTEMARK B. Adaptive control [M]. Reading Mass: Addison Wesley, 1988. [2] SABERI A. Simultaneous stabilization with almost disturbance decoupling property: a singular perturbation approach[J]. International Journal of Control. 1987, 45 (6): 1 705— 1 722. https://www.cnki.com.cn/Article/CJFDTOTAL-GJMW201502008.htm [3] CHEN Y H. On the deterministic performance of uncertain dynamical sysems[J]. International Journal of Control, 1986, 43(6): 1 557— 1 579. https://www.cnki.com.cn/Article/CJFDTOTAL-GJMW201507014.htm [4] UTKIN V L. Variable structure systems with sliding mode[J]. IEEE Transactions on Automatic Control, 1977, 22(2): 212— 222. https://www.cnki.com.cn/Article/CJFDTOTAL-DGJS201502009.htm [5] Anderson B D D, Moore J B. Linear optimal control[M]. New Jersey: Prentice-Hall, Englewood Cliffs, 1971. [6] RYAN E P, CORLESS M. Ultimate boundedness and asymptotic stability of a class of uncertain dynamical systems via continuous and discontinuous feedback control[J]. IMA Journal of Mathematics and Control Information, 1984, 1(2): 223— 242. https://www.cnki.com.cn/Article/CJFDTOTAL-GRKZ202101002.htm [7] CORLESS M J, LEITMANN G. Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems[J]. IEEE Transactions on Automatic Control, 1981, 26(6): 1 139— 1 144. https://www.cnki.com.cn/Article/CJFDTOTAL-JDQW202013008.htm [8] YANG Y S. Study on ship manoeuvring mathematical model in shiphandling simulator[A]. Chislett M S, Netherlands A A. Proceedings of the International Conference Marsim'96[C]. Balkema Pubishers, 1996. 607— 615.