期刊文献+

Global stabilization of nonlinear systems with uncertain structure

Global stabilization of nonlinear systems with uncertain structure
在线阅读 下载PDF
导出
摘要 The global stabilization problem of nonlinear systems with uncertain structure is dealt with. Based on control Lyapunov function (CLF), a sufficient and necessary condition for Lyapunov stabilization is given. From the condition, several simply sufficient conditions for the globally asymptotical stability are deduced. A state feedback control law is designed to globally asymptotically stabilize the equilibrium of the closed system. Last, a simulation shows the effectiveness of the method. The global stabilization problem of nonlinear systems with uncertain structure is dealt with. Based on control Lyapunov function (CLF), a sufficient and necessary condition for Lyapunov stabilization is given. From the condition, several simply sufficient conditions for the globally asymptotical stability are deduced. A state feedback control law is designed to globally asymptotically stabilize the equilibrium of the closed system. Last, a simulation shows the effectiveness of the method.
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第3期595-599,共5页 系统工程与电子技术(英文版)
基金 This project was supported by the National Natural Science Foundation of Fujian province (A0510025) .
关键词 uncertain structure nonlinear systems control Lyapunov function global stabilization. uncertain structure, nonlinear systems, control Lyapunov function, global stabilization.
  • 相关文献

参考文献12

  • 1Kokotovic P, Arc ak M. Constructive nonlinear control: a Historical perspective. Automat., 2001, 37: 637~662.
  • 2Artstein Z. Stabilization with relaxed controls. Nonlinear Anal., 1983, 7( 11 ): 1163~ 1173.
  • 3Sontag E D. A Lyapunov-like characteri-zation of asymptotic controllability, SIAM J. Contr. and Optimiz.,1983, 21(3) :462~471.
  • 4Freeman R A, Kokotovic P V. Inverse optimality in robust stabilization. SIAM J. Contr. and Optimiz.,1996, 34: 1365~1391.
  • 5Freeman R A, Primbs J A. Control Lyapunov functions:new ideas from an old source. In: IEEE Proc of Decision Contr. Conf., Kobe, Japan, 1996: 3926~3931.
  • 6Angeli D, Sontag E D, Wang Y. A characterization of integral input-to-state stability. IEEE Trans. on Automat.Contr., 2000, 45(6): 1082~1294.
  • 7Sontag E D. A ‘universal' construction of artstein's theorem on nonlinear stabilization. Systems and Control Lett. ,1989,13: 117~123.
  • 8Lin Y, Sontag E D. A universal formula for Stabilization with bounded control. Systems and Control Lett. , 1991,16: 393~ 397.
  • 9Mei S W, Shen T L, Sun Y Z, et al. Passivation control of nonlinear systems with disturbances. 1999,16 (6): 797~806.
  • 10Lin W. Robust Passivity and feedback design for minimum-phase nonlinear systems with structural uncertainty. Automat. ,1999,35: 35~47.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部