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不确定2-D 奇异系统Roesser 模型
鲁棒能稳的矩阵不等式方法 总被引:1,自引:0,他引:1
鲁棒能稳的矩阵不等式方法 总被引:1,自引:0,他引:1
考虑具有参数不确定性的2-D奇异系统Roesser模型(简称2-D SRM)鲁棒能稳问题.通过静态状态反馈控制律,使得对所有容许的不确定参数,闭环系统容许、稳定、无跳跃模.通过求解矩阵不等式,给出了不确定2-D奇异系统鲁棒能稳问题可解的充分条件及静态状态反馈控制律设计的代数表达式.最后通过算例验证了方法的有效性. 相似文献
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采用积分不等式,研究了一类具有状态和输入变时滞的非线性关联不确定系统的鲁棒综合问题.基于线性矩阵不等式(LMI)分别导出了具有扇形角约束和范数有界约束的两类非线性关联不确定系统的线性无记忆状态反馈控制律设计方法,该方法不要求系统的两输入项对系统完全可控.数值实例说明了本文方法的有效性. 相似文献
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时滞和参数不确定的供应链动态模型及其鲁棒H∞控制 总被引:2,自引:0,他引:2
研究了不确定环境下的供应链运作问题,并建立了具有生产时滞、成本参数和需求不确定性的供应链动态模型.分析了供应链的鲁棒运作,采用鲁棒H∞控制策略和线性矩阵不等式(LMI)算法处理供应链系统鲁棒运作问题.借助供应链库存状态的静态反馈控制,使供应链动态系统达到抑制不确定性干扰的作用,并使供应链运作达到理想总成本.最后,通过仿真计算验证了所得结果. 相似文献
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具有滞后输入的不确定系统的鲁棒镇定 总被引:11,自引:0,他引:11
本文研究具有滞后输入的不确定系统的鲁棒镇定问题,导出了系统可以用一个无记忆状态反馈控制律鲁棒镇定的条件,据此,提出了一个鲁棒稳定化控制器的设计方法. 相似文献
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不确定跳变系统的L2增益条件与系统可镇定性和鲁棒性密切相关,本文阐述利用依赖于模态的状态反馈鲁棒控制律,以实现闭环系统输入输出L2增益约束的要求,一方面用凸多面体界定跳变系统各模态间的跳变转移率的变化,另一方面,用L2增益界定对象状态方程中时变不确定参数,在一定概率空间下,获得的反馈控制律对不确定跳变概率和时变参数具有鲁棒性.反馈控制律的设计利用线性矩阵不等式技术,通过凸优化计算易于实现,最后给出了数值计算示例. 相似文献
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针对一类范数有界参数不确定线性连续系统。研究使得闭环系统的所有极点均配置在给定扇形区域中的状态反馈控制器设计问题。利用线性矩阵不等式(LMI)处理方法,给出不确定线性系统存在鲁棒D控制的充分条件,并利用该LMI的可行解给出状态反馈控制器的设计算法和设计步骤。最后。通过一算例验证结果的正确性和有效性。 相似文献
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不确定非线性切换系统的鲁棒H∞控制 总被引:1,自引:0,他引:1
讨论了一类不确定非线性切换系统的鲁棒H∞控制问题.首先,基于多Lyapunov函数方法,设计状态反馈控制器以及切换律,使得对于所有允许的不确定性.相应的闭环系统渐近稳定又具有指定的L2-增益.该问题可解的充分条件以一组含有纯量函数的偏微分不等式形式给出,此偏微分不等式较一般Hamilton-Jacobi不等式更具可解性.所提出的方法不要求任何一个子系统渐近稳定.接着作为应用,借助混杂状态反馈策略讨论了非切换不确定非线性系统的鲁棒H∞控制问题.最后通过一个简单例子说明了控制设计方法的可行性. 相似文献
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Tanelli M. Picasso B. Bolzern P. Colaneri P. 《Automatic Control, IEEE Transactions on》2010,55(1):195-201
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Shengyuan Xu Van Dooren P. Stefan R. Lam J. 《Automatic Control, IEEE Transactions on》2002,47(7):1122-1128
Considers the problems of robust stability and stabilization for uncertain continuous singular systems with state delay. The parametric uncertainty is assumed to be norm bounded. The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties, while the purpose of the robust stabilization is to design a state feedback control law such that the resulting closed-loop system is robustly stable. These problems are solved via the notions of generalized quadratic stability and generalized quadratic stabilization, respectively. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are derived. A strict linear matrix inequality (LMI) design approach is developed. An explicit expression for the desired robust state feedback control law is also given. Finally, a numerical example is provided to demonstrate the application of the proposed method 相似文献
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The robust stability and stabilization, and H-infinity control problems for discrete-time Markovian jump singular systems with parameter uncertainties are discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular system is transformed into a discrete-time Markovian jump standard linear system, and the linear matrix inequality (LMI) conditions for the discrete-time Markovian jump singular systems to be regular, causal, stochastically stable, and stochastically stable with 7- disturbance attenuation are obtained, respectively. With these conditions, the robust state feedback stochastic stabilization problem and H-infinity control problem are solved, and the LMI conditions are obtained. A numerical example illustrates the effectiveness of the method given in the oaoer. 相似文献
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This paper deals with the problems of robust stochastic stabilization and H-infinity control for Markovian jump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular system. The purpose of the robust stochastic stabilization problem is to design a state feedback fuzzy controller such that the closed-loop fuzzy system is robustly stochastically stable for all admissible uncertainties. In the robust H-infinity control problem, in addition to the stochastic stability requirement, a prescribed performance is required to be achieved. Linear matrix inequality (LMI) sufficient conditions are developed to solve these problems, respectively. The expressions of desired state feedback fuzzy controllers are given. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method. 相似文献
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The robust stability and stabilization, and H-infinity control problems for discrete-time Markovian jump singular systems with parameter uncertainties are discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the singular system is transformed into a discrete-time Markovian jump standard linear system, and the linear matrix inequality (LMI) conditions for the discrete-time Markovian jump singular systems to be regular, causal, stochastically stable, and stochastically stable with °- disturbance attenuation are obtained, respectively. With these conditions, the robust state feedback stochastic stabilization problem and H-infinity control problem are solved, and the LMI conditions are obtained. A numerical example illustrates the effectiveness of the method given in the paper. 相似文献
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《Systems & Control Letters》2004,51(3-4):203-215
This paper deals with the problems of robust stabilization and robust H∞ control for discrete stochastic systems with time-varying delays and time-varying norm-bounded parameter uncertainties. For the robust stabilization problem, attention is focused on the design of a state feedback controller which ensures robust stochastic stability of the closed-loop system for all admissible uncertainties, while for the robust H∞ control problem, a state feedback controller is designed such that, in addition to the requirement of the robust stochastic stability, a prescribed H∞ performance level is also required to be satisfied. A linear matrix inequality (LMI) approach is developed to solve these problems, and delay-dependent conditions for the solvability are obtained. It is shown that the desired state feedback controller can be constructed by solving certain LMIs. An example is provided to demonstrate the effectiveness of the proposed approach. 相似文献
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This paper investigates the problem of robust stabilization for genetic regulatory networks with interval time-varying delays,
which are subject to norm-bounded time-varying parameter uncertainties. The time delays including lower and upper bounds of
delay are assumed to appear in both the mRNA and protein. The regulatory functions are assumed to be globally Lipschitz continuous.
The resulting delay-range-dependent robust controller with interval range is designed in terms of improved bounding technique.
A sufficient condition for the solvability of the problem is obtained via a linear matrix inequality (LMI). When this LMI
is feasible, an explicit expression of a desired state feedback controller is also given. The theory developed in this paper
is demonstrated by two numerical examples. 相似文献
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一类不确定离散奇异系统的鲁棒稳定化 总被引:2,自引:0,他引:2
讨论了离散奇异系统矩阵E中含时不变参数不确定的鲁棒状态反馈稳定化问题.首先,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系统的鲁棒状态反馈稳定化问题的等价关系;然后,利用线性矩阵不等式(LMI)方法,给出了鲁棒状态反馈稳定化控制器存在的一个充分必要条件,控制器的设计方法及控制器的一个解;最后,通过一个数值算例验证了本设计方法的有效性. 相似文献