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时变广义系统线性二次最优控制 总被引:9,自引:1,他引:8
研究时变广义系统线性二次最优控制问题.通过引进时变广义系统脉冲能控性及脉冲能观性等概念,建立了这类问题与标准状态空间系统二次指标问题的等价性.进而证明了解的存在唯一性,给出了解的表示和最优反馈综合. 相似文献
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研究时变连续和离散随机Markov 跳跃系统(SMJSs) 的能观性问题. 基于H-表示方法将时变SMJSs 转化为等价的时变线性系统, 根据线性系统理论得到时变连续和离SMJSs 的能观性Gramian 矩阵判据. 数值仿真表明了所得结论的正确性. 相似文献
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布尔控制网络的能控性与能观性 总被引:1,自引:0,他引:1
利用矩阵的半张量积,布尔控制网络被转化为离散时间系统.本文从离散时间系统的结构矩阵出发,讨论了逻辑控制系统的能控能观性条件,得到了一个新的能控性条件.新的条件简化了原有能控性矩阵的计算复杂性,矩阵的最高阶数由原来的2m+n降到了2n.另外,还得到了检验布尔控制网络能观性的条件.与原有条件相比,新的条件更容易计算检验.最后,给出一个实例,检验给出的能控能观性判断条件的正确性. 相似文献
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本文针对一类离散非方广义系统模型,引入乘子得到其逆等矩阵模型,并进一步判断该类系统模型的完全能控性、能达能控性、完全能观性、能达能观性以及之间的对偶关系。 相似文献
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Dohyoung Chung Chan Gook Park Jang Gyu Lee 《Automatic Control, IEEE Transactions on》1999,44(10):1919-1923
The controllability and the observability of continuous linear time-varying systems with norm-bounded parameter perturbations are analyzed. The sufficient conditions which ensure the controllability of the perturbed system are presented by using the derived state transition matrix relationship between the nominal system and the perturbed system. The proposed sufficient conditions allow the evaluation of controllability under the norm-bounded parameter perturbations. The robustness of the observability is also studied for continuous linear time varying systems with norm-bounded parameter perturbations, and the corresponding sufficient conditions are provided 相似文献
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Many dynamic systems in physics, chemistry, biology, engineering, and information science have impulsive dynamical behaviors due to abrupt jumps at certain instants during the dynamical processes. These complex dynamic behaviors can be modeled by impulsive differential systems. This paper studies the controllability and observability for a class of time-varying impulsive control systems. Several sufficient and necessary conditions for state controllability and state observability of such systems are established and the corresponding criteria for time-invariant impulsive control systems are also obtained. Meanwhile, several new results associated with variation of parameters for time-varying impulsive control systems are derived. 相似文献
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In this paper, several different concepts of controllability are investigated for a class of linear singular systems which system parameters are piecewise constant. Necessary and sufficient geometric criteria for C‐controllability and R‐controllability of such systems are established, respectively. These conditions can be easily transformed into algebraic form. By applying the principle of duality, C‐observability is discussed as well. Furthermore, the intrinsic relationship between these results and existing results are also discussed. Then, a novel necessary, and sufficient criterion for C‐controllability of linear time‐invariant singular systems is derived as a byproduct. 相似文献
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Impulsive part of solution to initial value problem of linear time-varying singular systems is given explicitly. Impulse observability and impulse controllability for the systems are redefined 相似文献
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Jaewon Seo Dohyoung Chung Chan Gook Park Jang Gyu Lee 《Automatic Control, IEEE Transactions on》2005,50(7):1039-1043
Controllability and observability of discrete linear time-varying systems with norm-bounded parameter uncertainties are analyzed in this note. Like in the continuous case, we propose the sufficient conditions, which ensure controllability and observability of the uncertain system. The proposed conditions allow the evaluation of controllability and observability of the uncertain system without knowledge of specific values of uncertainties. 相似文献
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This paper is concerned with the controllability and observability for linear time‐varying switched impulsive systems. First, some new results about the variation of parameters for time‐varying switched impulsive systems are derived. Then less conservative sufficient conditions and necessary conditions for state controllability and observability of such systems are established. And for such system without impulsive control input, sufficient and necessary conditions for controllability and observability are derived. Furthermore, corresponding criteria applied to time‐varying impulsive systems are also discussed and examples are presented to show the effectiveness of the proposed results. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
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基于LMI 的线性时变周期系统的稳定性及鲁棒控制 总被引:1,自引:0,他引:1
线性时变周期(LTVP)系统的能控性、能观性、稳定性、镇定性等问题的研究一般需要依赖于系统的状态转移矩阵.但是,获得一般LTVP系统的状态转移矩阵十分困难.借鉴解决线性定常系统鲁棒控制问题的思路,把周期问题转化为一类范数有界问题,避开了求取系统状态转移矩阵;设计了基于LMI的使LTVP系统镇定的无记忆反馈控制器和基于LMI的使LTVP系统鲁棒镇定无记忆反馈控制器,仿真算例验证了所提出方法的有效性. 相似文献
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Fixed point methods from nonlinear analysis are used to establish conditions under which the uniform complete controllability, of linear time-varying systems is preserved under nonlinear perturbations in the state dynamics and the zero-input uniform complete observability of linear time-varying systems is preserved under nonlinear perturbation in the state dynamics and output read-out map. Robustness of partial controllability., observability, and a specific kind of nonzero input observability are also proven. 相似文献