共查询到20条相似文献,搜索用时 31 毫秒
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Yong-Yan Cao You-Xian Sun 《Automatic Control, IEEE Transactions on》1998,43(10):1484-1488
The authors deal with the problem of stabilizing a class of uncertain linear systems with time-varying multi-state delay and subject to norm-bounded parameter uncertainty via memoryless linear state feedback. Some sufficient conditions for the robust stabilizability are derived fur this class of uncertain systems. If there exists a positive-definite symmetric solution satisfying the algebraic Riccati equation (or inequality), a suitable memoryless state feedback law can be derived also. Moreover, all such parametric algebraic Riccati inequalities have been transformed into some linear matrix inequality problems, so there is no tuning of the parameters to gain a stabilizing solution 相似文献
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《Systems & Control Letters》1988,10(1):17-20
In this paper, robust stabilization of a class of linear systems with norm-bounded time-varying uncertainties is considered. It is shown that for this class of uncertain systems quadratic stabilizability via linear control is equivalent to the existence of a positive definite symmetric matrix solution to a (parameter-dependent) Riccati equation. Also, a construction for the stabilizing feedback law is given in terms of the solution to the Riccati equation. 相似文献
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一类关联时滞系统的分散稳定化控制器设计 总被引:10,自引:1,他引:9
应用Lyapunov稳定性理论,提出一类关联时滞系统能用分散线性状态反馈镇定的充分条件,进而证明了该条件等价于子系统级上N个带参数的代数Riccati矩阵方程的正定解的存在性,并利用这些正定解矩阵给出了相应的稳定化分散控制器。应用所提出的方法,可望得到具有更小反馈增益参数的分散稳定化控制律。 相似文献
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A delay-independent sufficient condition is derived that guarantees the global asymptotic stability of uncertain time-delay systems containing a class of series nonlinearities, under the linear state feedback. Such a linear state feedback is constructed via a suitable choice of parameters to solve an algebraic Riccati equation. 相似文献
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The delay-dependent robust stabilization problem for a class of uncertain linear timedelay systems containing saturating actuator is considered in this paper. The uncertain time-delay systems under consideration are described by state differential equations with time-varying unknown-but-bounded uncertain parameters and delayed state. The delay is assumed to be constant bounded but unknown. New robust stability criteria and a sufficient condition for the existence of memoryless robust stabilizing control law are derived. The results depend on the size of the delay and are given in terms of several linear matrix inequalities (LMIs). A numerical example is presented to illustrate the obtained results. 相似文献
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基于观测器的时滞系统鲁棒控制器的设计 总被引:1,自引:0,他引:1
研究了一类不确定时滞系统基于观测器的鲁棒镇定问题,系统的不确定性时变未知且范数有界,目的是设计状态观测器和线性无记忆观测状态反馈控制器,使其能够镇定一类状态和控制输入不确定性时滞系统。基于Lyapunov稳定性理论,采用线形矩阵不等式这一有效工具,给出了系统基于观测状态反馈鲁棒镇定的充分条件,并且利用线形矩阵不等式的解构造了使得系统鲁棒稳定的基于观测状态反馈控制器,所得结果与时滞相关,从而相对减弱了控制器设计的保守性。数值算例表明了所提出的设计方法的有效性。 相似文献
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Yong-Yan Cao You-Xian Sun Chuwang Cheng 《Automatic Control, IEEE Transactions on》1998,43(11):1608-1612
This paper deals with the problem of robust stabilization for uncertain systems with multiple state delays. The parameter uncertainties are time-varying and unknown but are norm-bounded, and the delays are time-varying. A new method for achieving robust stabilization is presented for a class of uncertain time-delay systems via linear memoryless state feedback control. The results depend on the size of the delays and are given in terms of several linear matrix inequalities 相似文献
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线性时滞系统的无源控制 总被引:23,自引:3,他引:23
研究一类线性时滞系统通过线性无记忆状态反馈控制律的无源控制问题。通过某个Riccati矩阵方程对称正定解的存在性,给出了使得闭环系统严格无源的控制器存在条件。进而,利用这个方程的正定解给出了无源化控制器的一个构造方法。 相似文献
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Han Ho Choi Myung Jin Chung 《Automatic Control, IEEE Transactions on》1997,42(12):1740-1742
In the above mentioned paper by Mahmoud-Muthairi (ibid. vol.39 (1994)) a sufficient condition for memoryless stabilization of a class of uncertain linear systems with a variable-state delay and norm-bounded time-varying uncertainties is derived in terms of an algebraic Riccati equation. This Riccati equation depends on several free matrix variables, and a subsequent result in the paper, Theorem 2, states that failure or success of the stabilization algorithm is independent of the selection of these matrix variables. In this paper, we give a counterexample to this Theorem 2 as well as providing a fix 相似文献
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具有多状态滞后的不确定时变时滞系统的鲁棒镇定 总被引:10,自引:2,他引:10
首先给出了具有多状态滞后的时变时滞系统渐近稳定的代数Riccati不等式形式的判据,
并基于此给出了确定性时变时滞系统的镇定方法.然后给出了具有有界参数不确定性的多状态滞
后时变时滞系统的镇定方法.文中的结论非常简单,只需解一个代数Riccati方程.最后给出一个算
例. 相似文献
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《Automatic Control, IEEE Transactions on》2009,54(3):634-641