Output-feedback Regulation of Nonlinear Systems with iISS Inverse Dynamics
-
摘要: 研究了具有积分输入状态稳定 (Integral input-to-state stability, iISS)逆动态和未知控制方向的更一般的非线性系统的输出反馈调节问题. 利用自适应反推的方法, 所设计的输出反馈控制器使得闭环系统的输出调节到原点, 并且闭环系统的其他信号有界.Abstract: This paper discusses output-feedback regulation for more general nonlinear systems with integral input-to-state stability (iISS) inverse dynamics and unknown control direction. By using the adaptive backstepping method, an output feedback controller is given to drive the output to the origin while maintaining other closed-loop signals bounded.
-
[1] Sontag E D. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control, 1989, 34(4): 435-443[2] Sontag E D. Comments on integral variants of ISS. Systems and Control Letters, 1998, 34(1-2): 93-100[3] Sontag E D, Teel A R. Changing supply functions in input-to-state stable systems. IEEE Transactions on Automatic Control, 1995, 40(8): 1476-1478[4] Sontag E D, Wang Y. On characterizations of the input-to-state stability property. Systems and Control Letters, 1995, 24(5): 351-359[5] Sontag E D, Wang Y. New characterizations of input-to-state stability. IEEE Transactions on Automatic Control, 1996, 41(9): 1283-1294[6] Jiang Z P, Mareels I M Y. A small-gain control method for nonlinear cascaded systems with dynamic uncertainties. IEEE Transactions on Automatic Control, 1997, 42(3): 292-308[7] Jiang Z P, Praly L. Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties. Automatica, 1998, 34(7): 825-840[8] Praly L, Jiang Z P. Stabilization by output feedback for systems with ISS inverse dynamics. Systems and Control Letters, 1993, 21(1): 19-33[9] Angeli D, Sontag E D, Wang Y. A characterization of integral input-to-state stability. IEEE Transactions on Automatic Control, 2000, 45(6): 1082-1097[10] Ito H, Jiang Z P. Necessary and sufficient small gain conditions for integral input-to-state stable systems: a Lyapunov perspective. IEEE Transactions on Automatic Control, 2009, 54(10): 2389-2404[11] Ito H. A Lyapunov approach to cascade interconnection of integral input-to-state stable systems. IEEE Transactions on Automatic Control, 2010, 55(3): 702-708[12] Jiang Z P, Mareels I, Hill D J, Huang J. A unifying framework for global regulation via nonlinear output feedback: from ISS to iISS. IEEE Transactions on Automatic Control, 2004, 49(4): 549-562[13] Wu Y Q, Yu J B, Zhao Y. Further results on global asymptotic regulation control for a class of nonlinear systems with iISS inverse dynamics. IEEE Transactions on Automatic Control, 2011, 56(4): 941-946[14] Nussbaum R D. Some remarks on a conjecture in parameter adaptive control. Systems and Control Letters, 1983, 3(5): 243-246[15] Boyd S, El Ghaoui L, Feron E, Balakrishnan V. Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994[16] Yu X, Xie X J. Output feedback regulation of stochastic nonlinear systems with stochastic iISS inverse dynamics. IEEE Transactions on Automatic Control, 2010, 55(2): 304-320[17] Yu X, Xie X J, Duan N. Small-gain control method for stochastic nonlinear systems with stochastic iISS inverse dynamics. Automatica, 2010, 46(11): 1790-1798[18] Yu X, Xie X J, Wu Y Q. Further results on output-feedback regulation of stochastic nonlinear systems with SiISS inverse dynamics. International Journal of Control, 2010, 83(10): 2140-2152[19] Duan N, Yu X, Xie X J. Output feedback control using small-gain conditions for stochastic nonlinear systems with SiISS inverse dynamics. International Journal of Control, 2011, 84(1): 47-56
点击查看大图
计量
- 文章访问数: 1971
- HTML全文浏览量: 79
- PDF下载量: 857
- 被引次数: 0