共查询到19条相似文献,搜索用时 203 毫秒
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时滞相关型离散时变时滞奇异系统的鲁棒镇定 总被引:1,自引:0,他引:1
讨论含参数不确定的离散时变时滞奇异系统的时滞相关的鲁棒状态反馈稳定化问题. 在一系列等价变换下, 阐述了其和一个不确定正常线性离散时变时滞系统的鲁棒状态反馈稳定化问题的等价关系;利用矩阵不等式方法, 给出一个对所有容许的不确定, 使得闭环系统正则、因果且稳定的时滞相关鲁棒状态反馈稳定化控制器存在的充分条件以及无记忆状态反馈控制器的一个解. 相似文献
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基于包含两个二次项的分段Lyapunov函数,研究了线性时变不确定系统的鲁棒控制器设计问题.所考虑的系统由两个矩阵的凸组合构成,通过引入一个附加矩阵,推导出鲁棒控制器存在的充分条件.该控制器的状态反馈增益的求解问题可以转化为一组带有两个比例参数的线性矩阵不等式的凸优化问题.最后的数值示例说明了该设计方法的可行性. 相似文献
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一类不确定非线性切换系统的鲁棒容错控制 总被引:1,自引:0,他引:1
研究一类不确定非线性切换系统的鲁棒容错控制问题,当执行器失效或部分失效时,利用Lyapunov函数法建立切换闭环系统混杂状态反馈容错控制器存在的充分条件;然后运用线性矩阵不等式将鲁棒容错控制器设计问题转化为一组线性矩阵不等式的可行解问题,从而借助Matlab中线性矩阵不等式工具箱求解;最后通过数值算倒验证了所提出设计方法的有效性. 相似文献
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具有区域极点和方差约束的不确定连续系统鲁棒控制 总被引:7,自引:1,他引:7
对一类具有不确定参数的线性连续系统,研究使得闭环系统的稳态状态方差小于某
个给定的上界,同时闭环极点位于一给定圆盘中的状态反馈鲁棒方差控制器设计问题.导出
了控制器存在的条件,并证明了该条件等价于一个线性矩阵不等式系统的可解性问题,进而
用这组线性矩阵不等式系统的可行解给出了一组所求控制器的一个参数化表示.据此,给出
了具有最小能量的鲁棒方差控制器设计方法. 相似文献
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This paper studies the robust stabilization problem of switched discrete-time linear systems subject to actuator saturation. New switched saturation-dependent Lyapunov functions are exploited to design a robust stabilizing state feedback controller that maximizes an estimation of the domain of attraction. The design problem of controller (coefficient matrices) is then reduced to an optimization problem with linear matrix inequality (LMI) constraints. A numerical example is given to show the effectiveness of the proposed method. 相似文献
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针对一类范数有界参数不确定性的广义离散线性系统,研究了该系统的状态反馈鲁棒H∞控制问题.利用线性矩阵不等式(LMI)的方法,得到了问题可解的条件,并给出了相应的状态反馈控制律.在一定条件下,所得的状态反馈鲁棒H∞控制律使广义离散线性系统对所有容许的不确定性参数,能够保证闭环系统正则、具有因果关系并且渐进稳定,同时其传递函数矩阵能够满足给定的H∞性能指标.正常离散线性系统的相对应结果可作为论文结果的特殊形式.仿真例子验证了该方法的正确性. 相似文献
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Robust stability and stabilization of discrete singular systems: an equivalent characterization 总被引:3,自引:0,他引:3
This note deals with the problems of robust stability and stabilization for uncertain discrete-time singular systems. The parameter uncertainties are assumed to be time-invariant and norm-bounded appearing in both the state and input matrices. A new necessary and sufficient condition for a discrete-time singular system to be regular, causal and stable is proposed in terms of a strict linear matrix inequality (LMI). Based on this, the concepts of generalized quadratic stability and generalized quadratic stabilization for uncertain discrete-time singular systems are introduced. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are obtained in terms of a strict LMI and a set of matrix inequalities, respectively. With these conditions, the problems of robust stability and robust stabilization are solved. An explicit expression of a desired state feedback controller is also given, which involves no matrix decomposition. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach. 相似文献
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In this paper, we investigate the problem of robust H/sub /spl infin// performance and stabilization for a class of uncertain fuzzy systems with Frobenius norm-bounded parameter uncertainties in all system matrices. Both continuous- and discrete-time uncertain fuzzy systems are considered under a unified treatment called bounded real lemma for fuzzy systems. Unlike the bounded real lemma in the linear theory of robust H/sub /spl infin// control where necessary and sufficient conditions were obtained, only sufficient condition based on Lyapunov method is shown. Furthermore, connection between robust H/sub /spl infin// problems involving uncertainty and standard uncertainty-free H/sub /spl infin// problems is established via matrix algebra. As for controller synthesis, a state feedback fuzzy control law is designed via relaxed linear matrix inequality (LMI) formulations. 相似文献
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K. H. Lee 《International journal of control》2013,86(10):1544-1551
This paper deals with robust stabilization of a class of linear discrete-time systems under non-linear perturbations via output feedback. A bound on the non-linear perturbations is maximized in the design. It is shown that degree of freedoms by the introduction of instrumental variables employed in this paper lead to much flexibility in obtaining both a robust output feedback controller and a maximal allowable bound of the non-linear perturbations. An improved method involving linear matrix inequalities are suggested to solve the matrix inequalities characterizing a solution of the robust stabilization problem. Consequently, the proposed method can yield a much less conservative result than that of earlier methods. Of major interest is an extension to a class of interconnected systems composed of linear subsystems with non-linear interactions. A robust decentralized controller is presented such that the closed-loop systems are maximally tolerant to interconnected non-linear couplings. Numerical examples illustrate the validity of the proposed approach. 相似文献