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饱和哈密顿控制系统可镇定性分析(英文) 被引量：1

Stabilizability analysis of Hamiltonian control systems subject to actuator saturation
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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.
作者 孙炜伟 王玉振
机构地区 山东大学控制科学与工程学院
出处 《电机与控制学报》 EI CSCD 北大核心 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)
关键词 哈密顿系统 输入饱和 有限增益镇定 LYAPUNOV函数 Hamihonian systems input saturation finite gain stabilizability Lyapunov functions
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—检测技术与自动化装置]
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参考文献15

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同被引文献15

  • 1孙丽瑛,王玉振.一类非线性奇异Hamilton系统的H_∞控制[J].中国科学：信息科学,2010,40(11):1519-1529. 被引量：2
  • 2魏爱荣,赵克友,于海生.运用静态反馈分析和设计饱和线性系统[J].系统工程与电子技术,2005,27(1):87-89. 被引量：4
  • 3WEI A R, WANG Y Z. Stabilization and H control of nonlinear port-controlled Hamiltonian systems subject to actuator satu- ration[J]. Automatica, 2010, 46(12) :2008-2010.
  • 4SABERI A, LIN Z L, TEEL A R. Control of linear systems with saturating actuators [J] IEEE Transactions on Automatic Control, 1996, 41 (3) :368-378.
  • 5HU T S, LIN Z L. Control systems with actuator saturation: analysis and design[M]. Boston: Birkhauser, 2001.
  • 6LIU W S, YACINE C, EDUARDO S. On finite gain stabilizability of linear systems subject to input saturation[J]. SIAM Journal on Control and Optimization, 1996, 34(4) :1190-1219.
  • 7LU Q, SUN Y. Nonlinear control systems and power system dynamics [J],Dordrecht: Kluwer Academic Publishers, 2001 : 121-164.
  • 8WANG Y Z, FENG G. Finite-time stabilization of port-controlled Hamiltonian systems with applicatioin to systems [ C ]// Proceedings of the 2008 American Control Conference. Seattle: the ACC, 2008:1202-1207.
  • 9YANG R M, WANG Y Z. Finite-time stability analysis and H∞ control for a class of nonlinear time-delay Hamiltonian sys- tems[ J ]. Automatica, 2013, 49 ( 2 ) : 390-401.
  • 10史小平,袁国平.Hamilton系统的鲁棒自适应控制及在航天器中的应用[J].四川大学学报（工程科学版）,2013,45(5):130-137. 被引量：3

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电机与控制学报
2009年 第2期

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