Reliable stabilization with integral action in decentralized control systems

Reliable stabilization with integral action is studied in a linear, time-invariant, multi-input, multi-output, two-channel decentralized control system, where the plant is stable. The objective is to achieve closed-loop stability when both controllers act together and when each controller acts alone. Necessary and sufficient conditions are obtained for existence of block-diagonal decentralized controllers that ensure reliable stabilization, and integral action and all such decentralized controllers are parametrized. Explicit controller design approaches are discussed for the case of square channels.     

Reliable decentralized stabilization of feedforward and feedbackinterconnected systems

The synthesis of decentralized controllers that are reliable in the presence of breakdowns in the interconnections is considered for plants obtained via feedforward and feedback type interconnection schemes. The main objective is to determine the precise conditions on the plant which assure such reliable synthesis. It is shown that the central property for reliable decentralized stabilization is always an appropriate parity interlacing property among the poles of the interconnection subplants and certain blocking zeros of the overall plant. The conditions under which the stabilization of a two-channel plant is affected by the stabilization of its diagonal subplants are also obtained. The results also find application in multiple controller reliable synthesis problems. The discussion is restricted to two-channel plants     

一类不确定广义系统的分散容错控制

讨论一类不确定广义系统分散容错控制器设计问题.首先利用线性矩阵不等式(LMI)设计分散状态反馈控制器,使得广义系统执行器未出现故障时渐近稳定;接着针对广义系统的部分执行器出现故障的情况设计分散状态反馈控制器,使得闭环广义系统渐近稳定;进而利用LMI设计广义系统在分散状态反馈作用下具有完整性的容错控制器;同时对传感器故障情形设计了广义系统在分散输出反馈作用下具有完整性的容错控制器,得到了不确定广义系统关于执行器和传感器的分散容错控制器设计的方法.将所设计的控制器用于实际电子网络系统,验证了所提出方法的有效性.     

线性滞后互联大系统的分散智能镇定

讨论了线性滞后互联大系统的分散镇定问题,给出了分散镇定控制器设计的思想 和方法,而后将人工神经网络技术引入该研究领域,给出了一般线性定常系统闭环极点配置 的智能方法,同时实现了线性滞后互联大系统分散镇定控制器的智能设计.最后给出了一数 值仿真例子,进而验证了该设计方法的可行性及有效性.     

Decentralized blocking zeros and the decentralized strongstabilization problem

This paper is concerned with a new system theoretic concept, decentralized blocking zeros, and its applications in the design of decentralized controllers for linear time-invariant finite-dimensional systems. The concept of decentralized blocking zeros is a generalization of its centralized counterpart to multichannel systems under decentralized control. Decentralized blocking zeros are defined as the common blocking zeros of the main diagonal transfer matrices and various complementary transfer matrices of a given plant. As an application of this concept, we consider the decentralized strong stabilization problem (DSSP) where the objective is to stabilize a plant using a stable decentralized controller. It is shown that a parity interlacing property should be satisfied among the real unstable poles and real unstable decentralized blocking zeros of the plant for the DSSP to be solvable. That parity interlacing property is also sufficient for the solution of the DSSP for a large class of plants satisfying a certain connectivity condition. The DSSP is exploited in the solution of a special decentralized simultaneous stabilization problem, called the decentralized concurrent stabilization problem (DCSP). Various applications of the DCSP in the design of controllers for large-scale systems are also discussed     

Reliable decentralized stabilization via extended linear matrix inequalities and constrained dissipativity

This paper considers the problem of reliable decentralized stabilization with multicontroller configurations when some of the controllers are faulty in the sense that they fail to act optimally or do not function in the way that they were originally intended to function. Specifically, we introduce a solution concept that requires controllers to respond optimally (i.e. in the sense of best‐response correspondences) to the nonfaulty controllers regardless of the identity or actions of the faulty controllers. At any time, we assume that the nonfaulty controllers know only that there can be at most one faulty controller in the system, but they know neither the identity of the faulty controller nor how this faulty controller behaves. We present a design framework using an extended linear matrix inequality technique for deriving reliable stabilizing state‐feedback gains; whereas a set of filters whose estimation‐error dynamics satisfy certain quadratic integral constraints is used as decentralized observers within the subsystems for extending the result to the output‐feedback case. Moreover, a sufficient condition for solvability of the problem is provided in terms of the minimum‐phase condition of the subsystems. We also present an application of the results to a power system problem. Copyright © 2013 John Wiley & Sons, Ltd.     

基于LMI的大型互联线性系统的分散有限时间镇定

借助于有限时间稳定性的定义,针对大型互联线性系统,引入了分散有限时间镇定的概念.对一类大型互联线性系统进行分散状态反馈和分散动态输出反馈控制器设计,利用线性矩阵不等式(LMI)的方法提出一个充分条件,当反馈控制律作用于该系统时,闭环系统是有限时间稳定的.仿真算例说明了所得结论的可行性和有效性.     

具有干扰输入的大型互联线性系统的分散有限时间镇定

借助于大型互联线性系统有限时间稳定性的定义,对具有干扰输入的大型互联线性系统引入了分散有限时间镇定的概念,并对一类具有干扰输入的大型互联不确定线性系统进行了分散状态反馈和分散动态输出反馈控制器设计,利用线性矩阵不等式（LMI）方法,提出了一个充分条件.当反馈控制律作用于该系统时,闭环系统是有限时间稳定的.     

Stabilization of Time‐Varying and Disturbed Complex Dynamical Networks with Different‐Dimensional Nodes and Uncertain Nonlinearities

This paper investigates the stabilization problem for time‐varying and disturbed complex dynamical networks (CDNs) with different‐dimensional nodes and uncertain nonlinearities. To be consistent with the properties of real‐world networks, both the disturbances of our networks and the nonlinear structures of the nodes permit are completely unknown but bounded. Furthermore, the norm bounds of the uncertain nonlinearities and disturbances (NBUND) are applied to design the stabilization controllers. When the NBUND are known in advance, some decentralized state feedback controllers are proposed to stabilize our networks. And when they are unknown, adaptive decentralized stabilization schemes are brought forward for our network models. The effectiveness and feasibility of our theoretical results are verified by two simulation examples.     

Decentralized control of discrete‐time linear time invariant systems with input saturation

We study decentralized stabilization of discrete‐time linear time invariant (LTI) systems subject to actuator saturation using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization imposes obvious necessary conditions on the open‐loop plant, namely that its eigenvalues are in the closed unit disc and further that the eigenvalues on the unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that the stabilization is possible: whenever (1) the open‐loop eigenvalues are in the closed unit disc; (2) the eigenvalues on the unit circle are not decentralized fixed modes; and (3) these eigenvalues on the unit circle have algebraic multiplicity of 1. Copyright © 2009 John Wiley & Sons, Ltd.     

大规模不确定离散动态系统的分散控制

本文讨论一类大规模不确定离散动态系统的稳定控制问题。利用Lyapunov方法,推出分散鲁棒反馈控制器的存在条件,并导出分散鲁棒反馈控制策略。     

大规模不确定离散动态系统的分散控制

本文讨论一类大规模不确定离散动态系统的稳定控制问题.利用Lyapunov方法,推出 分散鲁棒反馈控制器的存在条件,并导出分散鲁棒反馈控制策略.     

基于线性矩阵不等式的参数不确定性关联模糊大系统的分散鲁棒镇定

讨论了参数不确定性关联模糊大系统的分散鲁棒镇定问题,所考虑的参数不确定性满足范数有界条件.基于李雅普诺夫稳定性理论及大系统分散控制理论,采用分散化PDC(parallel distributed compensation)控制器,给出了保证该关联模糊大系统闭环渐近稳定的LMI形式的充分条件,通过MATLAB软件中的LMI工具箱可求解出这些LMI中的控制器参数.仿真例子说明了所提方法的有效性.     

变时滞不确定关联系统的分散鲁棒容错控制

针对一类不确定项具有数值界的变时滞不确定关联系统,运用线性矩阵不等式（LMI）方法对其分散鲁棒容错控制问题进行研究。首先提出以一组LMIs有解作为系统可分散鲁棒容错控制的充分条件,并给出了在此条件下的控制律,它对执行器发生故障时具有完整性;然后求解一个具有LMIs约束的凸优化问题,作为设计具有尽可能小反馈增益的分散鲁棒容错控制律的系统化方法,从而得到更符合实际的满意的分散容错控制律。     

时滞随机大系统的分散次优镇定

本文基于Ｒｉｃａａｔｉ矩阵方程、采用Ｌｙａｐｕｎｏｖ泛函研究具有时滞的Ｉｔｏ型随机大系统的分散次优镇定，建立了分散次优镇定的判据，给出了确定分散次优控制器的一个算法，这个算法以求解Ｌｙａｐｕｎｏｖ矩阵方程与Ｒｉｃｃａｔｉ矩阵方程为基础。文中命同了数值算例以说明本文算法的用法。     

变时滞不确定关联系统的分散鲁棒无记忆控制

针对一类不确定项具有数值界的变时滞不确定关联系统,主要运用线性矩阵不等式（LMI）方法对其分散鲁棒无记忆控制问题进行了研究,首先,通过构建适当形式的Lyapunov泛函数,运用LMI方法与矢量不等式方法,提出了以一组LMIs有解作为系统可分散鲁棒无记忆控制的充分条件,并给出了系统在此条件下的控制律,然后,将求解一个具有LMIs约束的凸优化问题作为设计尽可能小反馈增益的分散鲁棒无记忆控制律的系统化方法,从而可以得到更符合实际的满意的分散无记忆控制律。     

不确定组合大系统的自适应分散镇定控制

考虑具有非线性关联作用的不确定时变线性组合大系统的自适应分散镇定问题.针对 系统不确定界完全未知的情形,首先从理论上证明了可设计自适应鲁棒分散控制器确保受控系 统渐近稳定;进而从工程实际应用的角度,给出了确保受控系统实用稳定的自适应鲁棒分散控 制器的设计方案.仿真说明该设计方案是有效的.     

随机非线性时滞大系统的输出反馈分散镇定

针对具有严格反馈形式的随机非线性时滞大系统,设计了含有时滞项的随机控制Lyapunov函数,运用Backstepping技术,构造出一类输出反馈无记忆控制器.在此控制器作用下,所考虑的闭环系统实现概率意义上的时滞无关全局渐近稳定.并在无限时区优化指标函数的约束下,对控制器进行逆优再设计,以满足一定的性能要求.     

Robust decentralized control for a class of uncertain nonlinear interconnected systems with similar structures

This paper addresses the problem of the robust decentralized control for nonlinear interconnected systems with uncertainties. The similar structures of nonlinear interconnected systems are first defined. Then, controllers are designed for these systems to solve the problems of robust decentralized output tracking and robust decentralized stabilization via static output feedback. The results obtained in this paper show that the analysis and design of systems can be simplified by using the similar structures of systems. Simulation examples are given to show the effectiveness of the method.     

Disturbance localization for left invertible linear periodic discrete-time systems

The disturbance localization problem for left invertible linear periodic discrete-time systems is solved using periodic state feedback controllers. The proposed technique is of algebraic nature and has the following two main characteristics: (i) It yields simple algebraic criteria for testing the solvability of the problem, as compared to known geometric criteria, which may not be so easy to check. (ii) It derives analytically the general expressions of all periodic controllers admissible for disturbance localization, as compared to known techniques, which lead to nonanalytic parametrizations of the admissible controllers via constructive procedures. Moreover, for the aforementioned class of periodic systems, the state feedback simultaneous disturbance localization and stabilization or pole placement problem is treated, and conditions for its solvability are established, on the basis of a decentralized control approach, that makes use of the equivalence between the above problem and the stabilization or pole placement problem of a general proper multichannel system by decentralized static output feedback.