AN H∞ FUZZY TRACKING CONTROL SCHEME FOR AFFINE COUPLED SPATIO-TEMPORAL CHAOS

Due to the interactions among coupled spatio-temporal subsystems and the constant bias term of affine chaos, it is difficult to achieve tracking control for the affine coupled spatiotemporal chaos. However, every subsystem of the affine coupled spatio-temporal chaos can be approximated by a set of fuzzy models; every fuzzy model represents a linearized model of the subsystem corresponding to the operating point of the controlled system. Because the consequent parts of the fuzzy models have a constant bias term, it is very difficult to achieve tracking control for the affine system. Based on these fuzzy models, considering the affine constant bias term, an H∞ fuzzy tracking control scheme is proposed. A linear matrix inequality is employed to represent the feedback controller, and parameters of the controller are achieved by convex optimization techniques. The tracking control for the affine coupled spatio-temporal chaos is achieved, and the stability of the system is also guaranteed. The tracking performances are testified by simulation examples.     

AN H_∞ FUZZY TRACKING CONTROL SCHEME FOR AFFINE COUPLED SPATIO-TEMPORAL CHAOS

Due to the interactions among coupled spatio-temporal subsystems and the constant bias term of affine chaos, it is difficult to achieve tracking control for the affine coupled spatio-temporal chaos. However, every subsystem of the affine coupled spatio-temporal chaos can be approximated by a set of fuzzy models; every fuzzy model represents a linearized model of the subsystem corresponding to the operating point of the controlled system. Because the consequent parts of the fuzzy models have a constant bias term, it is very difficult to achieve tracking control for the affine system. Based on these fuzzy models, considering the affine constant bias term, an H∞ fuzzy tracking control scheme is proposed. A linear matrix inequality is employed to represent the feedback controller, and parameters of the controller are achieved by convex optimization techniques. The tracking control for the affine coupled spatio-temporal chaos is achieved, and the stability of the system is also guaranteed. The tracking perfo     

分段线性连续混沌系统的H∞同步方法

基于状态观测器方法，研究分段线性连续混沌系统的鲁棒H∞同步问题。在同时考虑系统噪声和信道噪声的情况下，构造H∞意义下的状态观测器，使噪声对混沌同步的影响最小。状态观测器的设计可通过求解特定的线性矩阵不等式(LMI)获得。对蔡氏电路的仿真表明，用该方法设计的混沌同步系统具有较强的抗干扰能力。     

基于H∞控制理论的网络拥塞控制器的设计

针对具有多维性、非线性、动态性、不确定性等复杂特征的计算机网络系统,文章从控制理论出发,提出了一种基于H∞控制理论的主动队列管理（AQM）算法,文章着重分析RED算法。首先,建立了AQM／TCP拥塞控制的动态模型;其次,系统的渐进稳定由线性矩阵不等式（LMI）描述,并应用MATLAB的LMI工具箱求解H∞控制的一般线性时滞系统;然后将求解结果应用到RED中,从而得出了控制器。最后在NS2平台上进行了仿真实验,试验结果表明,该算法在解决系统不确定性引起的鲁棒性问题上是有效的。     

T-S模糊系统量化H∞滤波器设计

本文研究了离散T-S模糊系统H∞量化滤波问题。主要目的是针对存在量化的T-S模糊反馈系统设计可行的滤波器算法使其在消除量化的影响下渐进稳定的并满足给定H∞性能指标。具体是通过模糊Lyapunov函数及引入松弛变量,提出了比文献中结果保守性低的基于线性矩阵不（LMIs）的滤波器存在的充分条件。最后,通过数值仿真例子来验证设计方案的有效性。     

一类时延网络控制系统的最优非脆弱H∞控制

针对一类时延网络控制系统,研究了当存在有限能量外部扰动时,系统的最优状态反馈非脆弱H_∞控制律的设计问题。通过将时延看作系统的时变参数不确定性,应用H_∞鲁棒控制理论及线性矩阵不等式(LMI)技巧,给出了具有控制增益扰动的次优非脆弱H_∞控制律存在的充分条件,提出了最优非脆弱H_∞控制律的设计方法。数值仿真例子表明了所提方法的有效性。