共查询到20条相似文献,搜索用时 93 毫秒
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针对一类时变参数不确定切换广义系统,对其鲁棒最优保性能控制问题进行研究,假定其中的时变不确定性项是范数有界的,但不需要满足匹配条件。通过构造广义Lyapunov函数和线性矩阵不等式方法,给出系统鲁棒最优保性能控制器存在的充分条件。进一步,建立一个具有线性矩阵不等式约束的凸优化问题,得到鲁棒最优保性能控制律及闭环性能指标上界。最后用示例说明该方法的有效性。 相似文献
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针对一类同时具有状态多时滞和输入多时滞的时变不确定连续多时滞系统。研究保成本状态反馈控制器的设计。假定其中的时变不确定性项是范数有界的,但不需要满足匹配条件,通过构造改造的Lyapunov函数和线性矩阵不等式(LMI)方法,给出系统满足保性能指标的一个充分条件,仅通过求解一个相应的线性矩阵不等式,就可得到保性能控制器使得闭环系统的一个保成本函数对所有允许的不确定参数有上界。通过求解凸优化问题得到最优保性能控制器,最后用数值例子说明该方法的有效性。 相似文献
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本文基于平均滞留时间和多Lyapunov函数方法,研究了一类线性不确定线性离散切换系统的保性能鲁棒控制问题,以线性矩阵不等式的形式设计了状态反馈保性能控制器使得相应的闭环系统对所有允许的不确定性是全局指数稳定的,并得到一个加权性能上界.仿真结果表明了该方法的有效性. 相似文献
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针对一类具有状态时滞的不确定广义系统考虑其保性能控制问题.利用Lyapunov稳定性理论,采用线性矩阵不等式处理方法,提出了静态输出反馈情况下的保性能鲁棒控制器的存在条件和设计方法,保证了对所有允许的不确定性,闭环系统是稳定的,而且给出相应情况下的性能指标上界.最后举例说明该方法的正确性. 相似文献
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This paper presents a two-dimensional (2D)-based approach to the problem of output feedback repetitive control for uncertain
discrete-time systems. It is shown first how the proposed repetitive control scheme can be equivalently formulated in the
form of a distinct class of 2D system. Then sufficient conditions for the existence of output feedback control law are derived
in terms of linear matrix inequality (LMI), and the control law matrices are characterized by the feasible solutions to this
LMI. Moreover, an optimization problem is introduced to efficiently solve the optimal output feedback control law by minimizing
the upper bound of a given cost function. Compared with the commonly used 1D-based method, the proposed approach increases
the degree of freedom of controller design by not only including in the scheme an output feedback gain but also a feed forward
one which can be simultaneously solved using the 2D-based procedures presented in the paper. Finally, a numerical example
is provided to demonstrate the effectiveness of the proposed method. 相似文献
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C.-H. Lien 《International journal of systems science》2013,44(10):723-734
In this paper, the robust guaranteed cost output control for a class of uncertain neutral system with time-varying delays is considered. Based on Lyapunov–Krasovskii functional theory, some stabilization criteria are derived and guaranteed costs are given. Delay-dependent and delay-independent criteria are proposed for the stabilization of the system. Static output linear feedback control is considered to stabilize the uncertain neutral system. Linear matrix inequality (LMI) approach and parametrizing transformation approach are used to solve the stabilization problems. A procedure for the controller design is provided. Optimal guaranteed cost output control will be achieved when the optimization problem under LMI conditions can be solved. Finally, two numerical examples are illustrated to show the use of the results. 相似文献
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Wentao Chen Weidong Zhang 《International Journal of Control, Automation and Systems》2010,8(5):1003-1008
This paper considers the problem of guaranteed cost repetitive control for uncertain discrete-time systems. The uncertainty
in the system is assumed to be norm-bounded and time-varying. The objective is to develop a novel design method for the repetitive
control systems by introducing a robust output feedback controller so that the closed-loop system is quadratically stable
and a certain bound of performance index is guaranteed for all admissible uncertainties. Necessary and sufficient conditions
for the existence of such controllers are derived in terms of linear matrix inequality (LMI). A suboptimal guaranteed cost
controller is obtained by solving an optimization problem with LMI constraints. Finally, a simulation example is provided
to illustrate the validity of the proposed method. 相似文献
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This note proposes a new design tool for optimizing static output feedback using a linear matrix inequality (LMI) formula called substitutive LMI. A matrix inequality derived from static output feedback is not usually linear. Adding a positive definite term including auxiliary variables, the matrix inequality is transformed into an LMI with respect to the positive definite matrix and the static output feedback gain. An iterative calculation algorithm is given to solve the substitutive LMI. In this note, designs of the static output feedback gain are shown in the frame of H/sub /spl infin// and H/sub 2/ syntheses. A numerical example is shown to demonstrate the effectiveness of the proposed technique. 相似文献
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线性分式不确定系统保成本控制及其鲁棒界 总被引:1,自引:0,他引:1
研究线性分式不确定系统的动态输出反馈保成本控制.采用线性矩阵不等式(LMI)方法证明了保成本控制器存在的充分必要条件等价于一个LMI可解性问题,通过该条件将求解闭环系统的成本函数上界的最小值问题转化为一个凸优化问题,利用该凸优化问题的解,得到动态输出反馈控制器的增益矩阵,并且给出了摄动参数允许最大摄动界的一种算法. 相似文献
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In this note, sufficient conditions for H/sub /spl infin// output feedback stabilization of linear discrete-time systems are proposed via linear matrix inequalities (LMIs). In order to reduce conservatism existing in earlier LMI methods, auxiliary slack variables with structure are employed. It is shown that degree of freedoms by the introduction of auxiliary slack variables lead to more flexibility in obtaining an approximate solution of H/sub /spl infin// output feedback stabilization problems. Consequently, the proposed method can yield a less conservative result than earlier LMI methods. In particular, typical output feedback control problems, such as decentralized H/sub /spl infin// output feedback control and simultaneous H/sub /spl infin// output feedback control, can be more efficiently solved. Numerical examples are included to illustrate the advantages of the proposed LMI method. 相似文献
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This paper deals with unbounded nonlinear real uncertainty and proposes a solution to the strict positive real control problem by dynamic output feedback. Besides, a guaranteed cost problem, solved by LMI optimization combined with line search, is introduced in order to provide robust performance. 相似文献
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HERBERT WERNER 《Automatica》1998,34(12):1625-1630
An LMI approach to robust multimodel controller design is proposed. The fast output sampling control law considered here allows in theory to realize the effect of a robust state feedback gain simultaneously for a family of linear models. In practice, there are two reasons why exact realization of state feedback may not be desirable or even impossible: poor error dynamics, and noise sensitivity due to large output feedback gains. An LMI formulation of the design problem allows to approximate a robust state feedback design by fast output sampling, in a way that closeness to the original design can be traded against reducing these deteriorating effects. The proposed method is illustrated by a multivariable design example and experimental results. 相似文献