一般广义对象的严格真H∞控制器设计

考虑一般广义对象的严格真H∞控制器设计问题.基于线性矩阵不等式(LMI)方法, 指出严格真H∞控制器存在当且仅当H∞控制问题可解,并满足一个静态条件,最后提出了一 个基于LMI的严格真H∞控制器的设计方法.     

具有闭环极点和方差约束的不确定离散系统鲁棒控制

对一类具有范数有界不确定性的离散时间系统,研究了使得闭环系统的所有极点位于一给定圆盘,且稳定状态方差不超过给定上界的状态反馈鲁棒方差控制律设计问题,基于线性矩阵不等式的处理方法,导出了鲁棒方差控制律的存在条件,并用一组线性矩阵不等式的珂行解给出了鲁棒方差控制律的一个参数化表示,进而,通过建立和求解一个凸优化问题,给出了具有最泸控制能量的鲁棒方差控制律设计方法。     

具有区域极点和方差约束的不确定连续系统鲁棒控制

对一类具有不确定参数的线性连续系统,研究使得闭环系统的稳态状态方差小于某 个给定的上界,同时闭环极点位于一给定圆盘中的状态反馈鲁棒方差控制器设计问题.导出 了控制器存在的条件,并证明了该条件等价于一个线性矩阵不等式系统的可解性问题,进而 用这组线性矩阵不等式系统的可行解给出了一组所求控制器的一个参数化表示.据此,给出 了具有最小能量的鲁棒方差控制器设计方法.     

线性离散系统具有闭环极点约束的输出反馈H∞ 控制

对一类线性离散系统, 研究了具有闭环圆盘极点约束的输出反馈H_∞ 控制问题. 基于线性矩阵不等式处理方法, 导出了输出反馈控制器的存在条件和设计方法. 和现有方法相比, 本文的方法具有更小的保守性.     

广义大系统非脆弱分散Ｈ_∞控制器设计

针对控制器增益具有模有界扰动的情况,研究广义大系统非脆弱分散H∞控制问题.基于广义系统的有界实引理和线性矩阵不等式(LMI)方法,分别给出了广义大系统非脆弱分散H∞控制器和非脆弱分散H∞保性能控制器存在的充分条件和设计方法.最后通过仿真算例表明了所提出方法的有效性.     

一类时滞系统的绝对稳定性问题研究

基于线性矩阵不等式处理方法,研究了一类具有扇形非线性关联的时滞系统绝对稳 定性问题.导出了用一个线性矩阵不等式系统的可行性表示的绝对稳定性滞后依赖型条件,进 而,通过求解一组线性矩阵不等式,给出使得闭环系统绝对稳定的无记忆状态反馈控制律设计 方法,最后用例子验证了文中提出的结果.     

Improved stability criterion and its applications in delayed controller design for discrete-time systems

This paper is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays and the problem of stabilization for discrete-time linear systems via time-delayed controllers. The first problem is solved by applying a novel Lyapunov functional, and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality. Based on this, a sufficient condition for the solvability of the second problem is presented. The reduced conservatism of the proposed stability result is shown through a numerical example, while the applicability of the time-delayed controller design method is demonstrated by an inverted pendulum system.     

ROBUST OUTPUT FEEDBACK CONTROLLER DESIGN WITH COVARIANCE AND DISC CLOSED‐LOOP POLE CONSTRAINTS

This paper is concerned with the problem of robust output feedback controller design for a class of linear discrete‐time systems with normbounded uncertainty. The objective is to design a controller such that the closed‐loop poles are assigned within a specified disc and the steady regulated output covariance is guaranteed to be less than a given upper bound. Using a linear matrix inequality (LMI) approach, the existence conditions of such controllers are derived, and a parametrized characterization of a set of desired controllers (if they exist) is presented in terms of the feasible solutions to a set of LMIs. A procedure is given to select a suitable output feedback controller that minimizes the desired control effort.     

不确定广义线性时变系统的鲁棒稳定和二次稳定

针对不确定广义线性时变系统,采用矩阵不等式的分析方法,提出不确定广义线性时变系统鲁棒稳定和二次稳定的概念.建立该类系统的矩阵不等式,将该类系统的鲁棒控制问题转化为求解矩阵不等式问题,得到该类系统鲁棒稳定和二次稳定的充分必要条件,并给出一种状态反馈鲁棒镇定控制器的设计方法.最后,通过数值算例表明了所提出方法的可行性.     

欺骗攻击环境下具有执行器故障的跳变耦合 信息物理系统的同步控制

针对一类离散Markov跳变耦合信息物理系统(CPS)的同步控制问题,在考虑系统参数跳变、耦合参数跳变、控制信息不完全和人为攻击的情况下,设计同步控制器实现CPS的同步.首先,给出具有随机欺骗攻击和执行器故障的Markov跳变耦合CPS模型.其次,基于矩阵Kronecker积,得到同步误差系统,将CPS的同步控制问题转化为同步误差系统的稳定性分析问题.再次,通过构造合适的Lyapunov-Krasovskii泛函,并利用Lyapunov稳定性理论和线性矩阵不等式方法得到使同步误差系统稳定的充分条件,在此基础上,设计同步控制器实现对Markov跳变耦合CPS的同步控制.最后,通过数值仿真例子说明该同步控制器设计方法的有效性.     

不确定系统的鲁棒状态反馈区域极点配置

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。     

不确定系统的鲁棒输出反馈区域极点配置

对一类具有范数有界参数不确定性的线性系统, 研究了使得闭环系统的所有极点均位于一给定圆盘中的输出反馈控制器设计问题. 采用线性矩阵不等式处理方法, 证明了该问题等价于一个线性矩阵不等式的可解性问题, 并利用该线性矩阵不等式的可行解给出了输出反馈控制器的构造方法. 所提出的方法既可应用到连续系统, 也可应用到离散系统.     

Robust distributed model predictive control of linear systems with structured time-varying uncertainties

In this work, synthesis of robust distributed model predictive control (MPC) is presented for a class of linear systems subject to structured time-varying uncertainties. By decomposing a global system into smaller dimensional subsystems, a set of distributed MPC controllers, instead of a centralised controller, are designed. To ensure the robust stability of the closed-loop system with respect to model uncertainties, distributed state feedback laws are obtained by solving a min–max optimisation problem. The design of robust distributed MPC is then transformed into solving a minimisation optimisation problem with linear matrix inequality constraints. An iterative online algorithm with adjustable maximum iteration is proposed to coordinate the distributed controllers to achieve a global performance. The simulation results show the effectiveness of the proposed robust distributed MPC algorithm.     

Stability Analysis and Design of Uncertain Discrete‐time Switched Systems with Actuator Saturation Using Antiwindup and Multiple Lyapunov Functions Approach

The stability analysis and anti‐windup design problem is investigated for a class of discrete‐time switched systems with saturating actuators by using the multiple Lyapunov functions approach. Firstly, we suppose that a set of linear dynamic output controllers have been designed to stabilize the switched system without input saturation. Then, we design anti‐windup compensation gains and a switching law in order to enlarge the domain of attraction of the closed‐loop system. Finally, the anti‐windup compensation gains and the estimation of domain of attraction are presented by solving a convex optimization problem with linear matrix inequality (LMI) constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.     

线性对象的正实控制问题

在时域中考虑线性对象的正实控制(PRC)问题.对于一般的广义对象,在状态空间 中提出了一个基于线性矩阵不等式(LMI)的统一处理PRC问题的方法,指出’PRC问题可解 的充分必要条件是与系统的实现有关的三个LMI可解,并可利用LMI的解构造出所有的正 则PR控制器.此外还提出了降价PR控制器的存在条件并讨论了可行的综合方法.     

Stability analysis and antiwindup design of uncertain discrete-time switched linear systems subject to actuator saturation

This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched Lyapunov function approach.Supposing that a set of linear dynamic output controllers have been designed to stabilize the switched system without considering its input saturation,we design antiwindup compensation gains in order to enlarge the domain of attraction of the closed-loop system in the presence of saturation.Then,in terms of a sector condition,the antiwindup compensation gains which aim to maximize the estimation of domain of attraction of the closed-loop system are presented by solving a convex optimization problem with linear matrix inequality(LMI)constraints.A numerical example is given to demonstrate the effectiveness of the proposed design method.     

线性分式不确定系统保成本控制及其鲁棒界

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.     

直接多模型自适应控制器设计——LMI方法

本文将线性矩阵不等式(LMI)方法引入直接多模型自适应控制, 将直接多模型控制器的 设计过程转化为求解线性矩阵不等式的可行解问题,同时给出在不同不确定参数范围内的多 个状态反馈控制器,并由此构成直接多模型自适应控制器．同时将直接多模型自适应控制推 广到多输入多输出被控对象的设定值跟踪问题,并给出稳定性分析结果．     

一类关联不确定离散系统的分散保性能控制

结合一个给定的二次型性能指标, 研究一类关联不确定离散大系统的分散保性能状态反馈控制器设计问题. 采用线性矩阵不等式处理方法, 导出了分散控制器存在的条件, 并给出了一组分散保性能控制器的参数化表示, 据此, 通过建立和求解一个凸优化问题给出了使得闭环性能指标的上界最小化的最优分散保性能控制器设计方法.     

鲁棒严格正实控制器设计

基于强严格正实引理使用线性矩阵不等式方法讨论了参数不确定线性系统鲁棒严格正实控制器的综合问题,提出了二次严格正实的新概念,证明了静态状态反馈解的存在性,并给出了状态反馈壮次严格正实控制器的存在条件和综合方法。