共查询到18条相似文献,搜索用时 140 毫秒
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一类离散时间切换系统鲁棒控制器设计 总被引:7,自引:0,他引:7
考虑一类非线性离散时间切换系统的鲁棒二次镇定和渐近镇定问题.利用公共李亚普诺夫函数方法和多李亚普诺夫函数方法,分别设计了切换系统鲁棒状态反馈控制器和输出反馈控制器,保证了切换系统的二次稳定性和渐近稳定性.仿真结果验证了所提出算法的有效性. 相似文献
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研究多输入多输出非线性切换系统在任意切换律下的二次镇定问题.当非线性切换系统有一致规范型,且一致规范型的零动态在任意切换律是渐近稳定时,设计出状态反馈控制律,并构造出所有闭环子系统的共同二次Lyapunov函数,实现了这类多输入多输出非线性切换系统在任意切换策略下的二次可镇定性,所得结果也适用于线性切换系统。 相似文献
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广义不确定系统鲁棒稳定性及鲁棒镇定的矩阵不等式方法 总被引:6,自引:1,他引:5
考虑广义不确定系统的鲁棒稳定性及鲁棒镇定问题.提出了广义不确定系统'广义二次稳定'及'广义二次可镇定'的概念,利用矩阵不等式,分别得到了所考虑广义不确定系统广义二次稳定及广义二次可镇定的充要条件,而且,使广义不确定系统鲁棒镇定的状态反馈控制律的设计可通过求解一给定的矩阵不等式而得到. 相似文献
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研究了寻找三阶系统族的共同二次Lyapunov函数问题.针对给定的稳定的三阶系统提出了寻找二次Lyapunov函数集的方法,然后获得了三阶系统族具有共同二次Lyapunov函数的充分条件.该充分条件易于构造,从而具有较强的工程实用性.文中实例验证了所得结果的有效性. 相似文献
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凸锥型不确定线性切换系统的二次镇定 总被引:2,自引:0,他引:2
研究具有凸锥型不确定性的线性切换系统的二次鲁棒稳定化问题.这种不确定性是由若干已知常数矩阵所张成的凸锥构成的.利用凸组合技术,分别给出了连续和离散线性切换系统的鲁棒二次可稳定条件及切换律的设计方法.按照这些条件,只要判断张成凸锥的顶点矩阵的某个凸组合是否可稳即可.最后给出仿真例子. 相似文献
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In this paper, the problem of quadratic stabilization of multi-input multi-output switched nonlinear systems under an arbitrary
switching law is investigated. When switched nonlinear systems have uniform normal form and the zero dynamics of uniform normal
form is asymptotically stable under an arbitrary switching law, state feedbacks are designed and a common quadratic Lyapunov
function of all the closed-loop subsystems is constructed to realize quadratic stabilizability of the class of switched nonlinear
systems under an arbitrary switching law. The results of this paper are also applied to switched linear systems.
Supported partially by the National Natural Science Foundation of China (Grant No. 50525721) 相似文献
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Ya-Hong Zhu Dai-Zhan Cheng Institute of Systems Science Chinese Academy of Sciences Beijing PRC 《国际自动化与计算杂志》2006,3(4):404-413
The main purpose of this paper is to investigate the problem of quadratic stability and stabilization in switched linear systems using reducible Lie algebra. First, we investigate the structure of all real invariant subspaces for a given linear system. The result is then used to provide a comparable cascading form for switching models. Using the common cascading form, a common quadratic Lyapunov function is (QLFs) is explored by finding common QLFs of diagonal blocks. In addition, a cascading Quaker Lemma is proved. Combining it with stability results, the problem of feedback stabilization for a class of switched linear systems is solved. 相似文献
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This article studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. It is proved that a switched linear system is exponentially stabilizable if and only if there exists a piecewise quadratic control-Lyapunov function. Such a converse control-Lyapunov function theorem justifies many of the earlier synthesis methods that have adopted piecewise quadratic Lyapunov functions for convenience or heuristic reasons. In addition, it is also proved that if a switched linear system is exponentially stabilizable, then it must be stabilizable by a stationary suboptimal policy of a related switched linear-quadratic regulator (LQR) problem. Motivated by some recent results of the switched LQR problem, an efficient algorithm is proposed, which is guaranteed to yield a control-Lyapunov function and a stabilizing policy whenever the system is exponentially stabilizable. 相似文献
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对称循环组合系统的几个控制问题 总被引:5,自引:2,他引:5
研究了对称循环组合系统的输出调节问题和不确定对称循环组合的二次稳定性和二次稳定化问题。结果表明,由于对称循环组合系统结构的特殊性,这的输出调节问题可以转化为一些低价系数的输出调节问题。而不确定对称循环组合系统的二次稳定性可以通过考察若干个低价系数的二次稳定性来判断,且其稳定比化控制律也可以通过低价系数的稳定化控制律来构造。 相似文献
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This paper discusses the robust quadratic stabilization control problem for stochastic uncertain systems,where the uncertain matrix is norm bounded,and the external disturbance is a stochastic process.Two kinds of controllers are designed,which include state feedback case and output feedback case.The conditions for the robust quadratic stabilization of stochastic uncertain systems are given via linear matrix inequalities.The detailed design methods are presented.Numerical examples show the effectiveness of our results. 相似文献
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1IntroductionInthelast decades ,manyauthors studiedrobust quadraticstabilization control of deterministic linear systems withparameter uncertainty or structured uncertainty, see[1 ~8] . Robust quadratic stability and stabilization ofdeterministic systems were first introduced by [1] ,bymeans of a common Lyapunovfunction.Most earlier resultson robust quadratic stabilization,including some necessaryand sufficient conditions , were expressed in terms ofRiccati_type equations or inequalities , wh… 相似文献
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Da-Wei Ding Guang-Hong Yang 《International Journal of Control, Automation and Systems》2010,8(2):220-227
This paper considers the problem of static output feedback (SOF) control for discrete-time switched linear systems under arbitrary switching. By the aid of switched quadratic Lyapunov functions combined with Finsler’s lemma, new sufficient conditions for SOF stabilization are obtained which guarantee a γ-performance of the closed-loop switched systems subject to input disturbances. The proposed method can work successfully in situations where the existing ones fail. Three examples are given to illustrate its effectiveness. 相似文献