饱和哈密顿控制系统可镇定性分析(英文)  

Stabilizability analysis of Hamiltonian control systems subject to actuator saturation

作　　者：孙炜伟[1] 王玉振[1] 

机构地区：[1]山东大学控制科学与工程学院,山东济南250061

出　　处：《电机与控制学报》2009年第2期261-266,共6页Electric Machines and Control

基　　金：国家自然科学基金(G60774009);山东省自然科学基金(Y2006G10)

摘　　要：研究了一类具有饱和的耗散哈密顿控制系统的有限增益可镇定性问题。在一定条件下运用静态输出反馈使得系统达到全局渐近稳定。另外,针对哈密顿系统中的非线性函数提出进一步的演变条件,利用相同的反馈律使得闭环系统达到有限增益L2镇定,同时获得有限增益的估计值。仿真结果验证了所提结论的有效性。The finite-gain stabilizability of port-controlled Hamihonian system subject to actuator saturation is mainly dealt with in this paper. Conditions are obtained under which a static output feedback law would achieve global asymptotic stabilization. In addition, under some growth conditions on the nonlinear functions involved in the system, it is shown that the designed controller can be that the closed-loop system achieve finite gain L2 stabilizability. Accordingly, an estimate of the finite gain is obtained. Simulations verify the effectiveness of the proposed results.

关 键 词：哈密顿系统 输入饱和 有限增益镇定 LYAPUNOV函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP271[自动化与计算机技术—控制科学与工程]