应用脉冲控制方法鲁棒镇定混沌鲁里叶系统

研究混沌鲁里叶系统的鲁棒镇定问题.利用李雅普诺夫函数以及脉冲控制技术使得受不确定扰动的混沌鲁里叶系统渐近镇定到平衡点,并给出相应的充分条件;最后,给出数值示例说明得到的脉冲控制律可以有效镇定混沌鲁里叶系统.     

利用反馈方法控制Lü系统中的混沌

利用经典反馈法实现了Lü系统的混沌控制,并基于Lyapunov直接法和Routh-Hurwitz判据讨论受控Lü系统的混沌轨道达到渐进稳定时的条件,并给出理论上的证明。数值模拟进一步验证了经典反馈控制方法均可成功将Lü系统混沌运动轨道镇定到不稳定平衡点或不稳定周期轨道,即极限环上。     

一类时变不确定脉冲系统鲁棒H∞指数镇定

考虑一类具有范数有界时变不确定的脉冲系统鲁棒H∞指数镇定问题.基于Riccati不等式方法,得到该闭环系统鲁棒H指数稳定的充分条件并给出可镇定该类脉冲系统的线性时不变状态反馈控制律并且保证H∞性能.最后,给出数值示例说明定理的有效性.     

区间线性脉冲系统的鲁棒耗散性及其反馈镇定

主要讨论了区间线性脉冲系统相对于二次供给率的鲁棒耗散性问题, 得到了该系统是鲁棒耗散的充分条件, 而且还给出了这样的鲁棒耗散系统能被一个状态反馈控制律所镇定的条件, 最后, 给出了一个例子.     

一类结构不确定性的离散时滞大系统的分散镇定

研究了一类离散时滞大系统的时滞相关鲁棒分散镇定问题, 系统的不确定与标称系统具有结构相似性. 通过构造性的差分格式, 将时滞相关鲁棒分散镇定控制器的存在条件转化为一列线性矩阵不等式的可行解问题. 提出了控制时滞及控制器的时滞鲁棒性概念, 在获得分散镇定控制器的同时给出了鲁棒时滞上界的求解, 因此比现有文献的结果更具有实际应用价值.     

一类带时滞状态扰动系统的自适应鲁棒镇定

针对一类带时滞状态扰动的系统,讨论了系统的鲁棒自适应镇定问题.当扰动有界且界未知时,运用自适应控制方法,设计出一类自适应控制器.采用Lyapunov＿Karasovskii函数方法,证明了文中所提出的控制器可鲁棒镇定该系统.     

鲁棒镇定区间系统族的一个充分条件

讨论了区间系统族的鲁棒镇定问题,给出存在控制器鲁棒镇定区间系统族的一个充分条 件,并且当这个条件成立时,得到了鲁棒镇定区间系统族的控制器的参数化公式.     

脉冲Hopfield神经网络的鲁棒H-稳定性及其脉冲控制器设计

研究了脉冲Hopfield神经网络在Hopfield意义下的鲁棒稳定性. 通过应用Lyapunov函数法和Riccati不等式方法, 得到了脉冲Hopfield神经网络鲁棒稳定和鲁棒渐近稳定的充分条件, 在此基础上, 设计出了易于实施的脉冲控制器来镇定Hopfield神经网络. 最后, 给出了例子.     

一类不确定非完整移动机械臂的鲁棒镇定

讨论了一类带有未知惯性参数，未建模动态及外界干扰的非完整动力学系统的鲁棒镇定问题．基于滑模控制思想及非完整运动学系统的镇定策略，给出了该类系统的鲁棒镇定方法．将其用于一类不确定非完整移动机械臂的鲁棒镇定分析，仿真结果验证了所提出控制方法的正确有效性．     

具Frobenius有界不确定性广义系统的鲁棒稳定性

研究了具Frobenius有界不确定性广义系统的稳定与鲁棒镇定问题. 通过对代数Riccati不等式或代数Riccati方程的求解, 获得了不确定广义系统广义二次稳定的充要条件, 使得对所有容许的不确定参数, 系统是稳定, 正则和无脉冲. 而且, 根据一类矩阵方程, 构造了使不确定广义系统鲁棒镇定的状态反馈控制器的设计方法. 实例说明了上述方法的有效性.     

Impulsive control of a new chaotic system

Based on the new comparison theorem of impulsive system, this paper derives some sufficient conditions for the stabilization and synchronization of a new chaotic system via impulsive control with varying impulsive intervals, the new chaotic system is a three-dimensional continuous autonomous chaotic system, which can display complex two- and four-scroll attractors in simulations.     

Robust stability of impulsive Takagi-Sugeno fuzzy systems with parametric uncertainties

This paper presents a kind of time-varying impulsive Takagi-Sugeno (T-S) fuzzy model with parametric uncertainties in which each subsystem of the model is time-varying. Several robust stabilities of time-varying systems with parametric uncertainties, such as general robust stability, robustly asymptotical stability and exponential stability, are studied using uniformly positive definite matrix functions and the Lyapunov method. Specifically, robust stability conditions of time-invariant impulsive T-S fuzzy systems are also derived in the formulation of quasi-linear matrix inequalities (QLMIs) and an iterative LMIs algorithm is designed for solving QLMIs. Finally, a unified chaotic system with continuous periodic switch and a unified time-invariant chaotic system are used for demonstrating the effectiveness of our respective results.     

Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive systems with periodic impulses are first provided in order to set up the main ideas. Extensions to the stability of aperiodic systems under minimum, maximum and ranged dwell-times are then derived. By exploiting further the particular structure of the stability conditions, the results are non-conservatively extended to quadratic stability analysis of linear uncertain impulsive systems. These stability criteria are, in turn, losslessly extended to stabilization using a particular, yet broad enough, class of state-feedback controllers, providing then a convex solution to the open problem of robust dwell-time stabilization of impulsive systems using hybrid stability criteria. Relying finally on the representability of sampled-data systems as impulsive systems, the problems of robust stability analysis and robust stabilization of periodic and aperiodic uncertain sampled-data systems are straightforwardly solved using the same ideas. Several examples are discussed in order to show the effectiveness and reduced complexity of the proposed approach.     

环状脉冲控制下的多个混沌系统同步

针对多个混沌系统同步问题, 提出了一种基于脉冲控制理论环状控制方法. 利用微分算子中值定理和矩阵运算, 通过Gronwall不等式和跳跃的脉冲响应设计控制器, 从而推导出了环状脉冲控制下多个混沌系统全局同步.典型的时滞混沌Hopfield神经网络和Lorenz混沌系统仿真结果表明, 该方法有效、可靠, 且具有强鲁棒性.     

Robust Stabilization of Uncertain Networked Control Systems with Data Packet Dropouts

The data packet dropouts phenomenon is usually inevitable when information transmit- ted among communication networks.In this paper,the robust stabilization problem for uncertain networked control systems with data packet dropouts is studied.First,an uncertain discrete-time switching system model is presented to describe these networked control systems.The stability equiv- alence is then proved between this switching system and an uncertain impulsive difference system. Moreover,a sufficient condition is obtained for the asymptotical stability of the nonlinear impulsive difference system.From this condition the robust stabilization problem is dealt with for the uncertain impulsive system.Main results are given in linear matrix inequalities.Finally a numerical example is given to illustrate the theoretical results.     

不确定有损网络控制系统的鲁棒镇定

The data packet dropouts phenomenon is usually inevitable when information transmitted among communication networks. In this paper, the robust stabilization problem for uncertain networked control systems with data packet dropouts is studied. First, an uncertain discrete-time switching system model is presented to describe these networked control systems. The stability equivalence is then proved between this switching system and an uncertain impulsive difference system. Moreover, a sufficient condition is obtained for the asymptotical stability of the nonlinear impulsive difference system. From this condition the robust stabilization problem is dealt with for the uncertain impulsive system. Main results are given in linear matrix inequalities. Finally a numerical example is given to illustrate the theoretical results.     

Robust decentralized stabilization for a class of large-scale time-delay uncertain impulsive dynamical systems

The problem of robust decentralized stabilization for a class of large-scale, time delay, and uncertain impulsive dynamical systems is introduced and studied. Some explicit criteria of robust exponential stabilization in the large for such systems are established. A simple approach to designing a robust decentralized controller is presented. A numerical example is given for illustrating and interpreting the theoretical results.     

Robust finite-time guaranteed cost control for impulsive switched systems with time-varying delay

This paper is concerned with the problem of robust finite-time guaranteed cost control for a class of impulsive switched systems with time-varying delay. Firstly, the definitions of finite-time boundedness, finite-time stabilization, and robust finite-time guaranteed cost control are presented. Next, based on the average dwell-time approach, sufficient conditions on robust finite-time guaranteed cost control are obtained for the uncertain impulsive switched systems. Then, by using multiple Lyapunov-like functional method and linear matrix equality (LMI) technique, the state feedback controller is designed to guarantee that the uncertain impulsive switched system is finite-time stabilized. Furthermore, a finite-time guaranteed cost bound is given. Finally, a numerical example is shown to illustrate the effectiveness of the proposed results.     

Robust Exponential Stability of Discrete‐Time Delay Impulsive Systems with Parametric Uncertainties

This paper investigates robust exponential stability for discrete‐time delay impulsive systems with parametric uncertainties. The parametric uncertainties in the systems are assumed to be time varying and norm bounded. Using Lyapunov functionals, some robust exponential stability criteria are given. It is shown that the time interval between the nearest two impulses should be small enough, i.e., impulses must act frequently, when the impulses are employed to stabilize the original impulse‐free system that is not robustly stable. Conversely, when the original system without impulses is robustly stable, the time interval between the nearest two impulses should be large enough to let the system with impulsive perturbations retain its stability property. It should be noted that this is the first time that impulsive robust exponential stabilization results are given via Lyapunov functionals for discrete‐time uncertain delay impulsive systems. Some examples, including an example which cannot be studied by the existing results, are also presented to illustrate the effectiveness of the obtained results.