基于LM I 的广义系统正实反馈控制

建立连续情形广义系统新的正实引理，通过对线性矩阵不等式(LMI)的求解和系统的等价变换，给出了正实状态反馈控制的充分必要条件，构造了保持系统稳定性的正实控制器设计方法，数值实例表明，该求解控制器的方法简单方便，具有实际意义。     

离散广义系统的鲁棒严格正实控制

研究确定的以及具有范数有界不确定性的离散广义系统的严格正实分析和控制问题,首先给出了确定离散广义系统状态反馈扩展严格正实控制器的存在条件和设计方法;然后利用线性矩阵不等式分析了不确定离散广义系统广义二次稳定且扩展严格正实的条件,讨论了状态反馈使闭环系统广义二次稳定且扩展严格正实问题,给出了状态反馈鲁棒扩展严格正实控制器的综合方法;最后通过数值算例说明了所提出方法的有效性．     

State feedback control of networked systems with uncertain plant

This article, considers the problem of state feedback control of networked systems with an uncertain plant. The signals for feedback periodically switch between the plant state and the state of a model of the plant according to whether the plant state is available from the communication network or not. The model is used to generate control signals when the plant state is not available from the network. A sufficient condition for the robust exponential stability of the closed-loop system is derived in terms of the network dwell time and the system parameters. Examples are also worked out to demonstrate numerical procedures for designing state feedback controller of the system based on the obtained results. Simulations show the feasibility and efficiency of the proposed methods.     

H-infinity output feedback control for descriptor systems with delayed states

1IntroductionSingular systems have comprehensive practical back-ground such as power systems[1,2],social economicsystems[3],circuit systems[4],and so on.Great progress[5~7]has been made in the theory and its applicationssince1970s.On the other hand,control of delay systemshas been a topic of recurring interest over the past decadessince time_delays are often the main causes for instabilityand poor performance of systems and encounteredfrequently in various engineering systems.There exist anext…     

Simplified adaptive control via improved robust positive real conditions

A new method is derived for embedding plants in a robust state-feedback scheme, to achieve strictly positive realness of the resulting augmented plants. A state-feedback gain is derived that guarantees the strictly positive realness of the closed-loop in presence of polytopic type, possibly time-varying, parameter uncertainties in the model that describes the plant. This is achieved by assigning different Lyapunov functions to each of the vertices of the uncertainty polytope. The obtained feedback gain is used to apply existing methods for robust simplified adaptive control on systems with possibly time-varying polytopic uncertainties.     

Non-fragile positive real control for uncertain linear neutral delay systems

This paper is concerned with the problem of non-fragile positive real control for uncertain neutral delay systems with time-invariant norm-bounded parameter uncertainty. Time delays are assumed to appear in both the state and the controlled output equations. The state feedback gains are with norm-bounded controller uncertainties. For both the cases with additive and multiplicative controller uncertainties, we address the problem of designing memoryless state feedback controllers such that, for all admissible uncertainties, the resulting closed-loop system is stable and the closed-loop transfer function is extended strictly positive real. Sufficient conditions for the existence of desired controllers are given in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, the expected memoryless state feedback controller can be easily constructed via convex optimization. An illustrative example is given to demonstrate the validity and applicability of the proposed approach.     

严格正实线性多变量系统的鲁棒性分析及其输出反馈控制

讨论一类线性不确定系统的鲁棒严格正实分析和控制问题，其中各不确定参数矩阵具有线性分式形式，分析了这类系统对所有容许不确定性严格正实的条件，并综合了使闭环内稳且严格正实的动态输出反馈控制器，通过适当地构造增广系统，将这类问题转化为确定系统的严格正实分析和设计，并按增广系统给出了这类不确定系统鲁棒严格正实的充分必要条件以及动态输出反馈鲁棒严格正实控制器的存在条件。