具有导数比例反馈的广义混合H2/H∞优化控制

研究具有导数比例反馈的广义系统的混合H2/H∞优化控制问题。针对一类不确定广义系统,设计了一个导数比例反馈控制器,使得闭环系统在满足鲁棒稳定的前提下,使H∞范数有界,同时使H2范数的上界达到极小。给出了该控制器存在的一个LMI充分条件。最后的数值例子进一步说明了这一设计方法的有效性。     

时滞依赖型区间时滞系统非脆弱H_∞控制

针对一类状态和控制输入矩阵均为区间矩阵的不确定时滞系统,其中状态和控制输入同时具有未知但有上界的时间滞后,基于Lyapunov稳定性理论,利用线性矩阵不等式(LMI)方法,讨论了该类时滞系统的时滞依赖型非脆弱H∞状态反馈控制器设计问题.在区间不确定性和控制器执行机构扰动均满足增益有界条件下,得到了该类时滞系统的满足H∞性能的一个充分条件.通过求解一个线性矩阵不等式(LMIs)组,即可获得鲁棒H∞控制器.最后对某型飞机作机动飞行仿真,仿真结果表明该鲁棒控制器设计方法是有效的.     

不确定系统的鲁棒容错H∞控制

针对不确定线性连续系统,研究了执行器失效情况下的鲁棒容错H∞控制问题.利用LMI,给出了不确定线性系统对任意执行器故障均保持渐近稳定且满足给定干扰衰减指标的鲁棒容错H∞控制器存在的充要条件,讨论了参数不确定线性系统的鲁棒容错H∞控制器的设计问题.根据凸优化理论,进一步给出了鲁棒容错最优H∞控制器的线性凸优化设计算法和设计步骤.采用所设计的状态反馈控制器,当任意执行器出现故障时,闭环系统仍保持渐近稳定且满足给定的干扰衰减性能指标.数值仿真例子验证了该设计方法的可行性和有效性.     

一类非线性不确定时滞系统鲁棒容错控制

研究一类不确定非线性时滞系统的鲁棒容错控制问题.针对不确定非线性时滞系统,基于执行器连续型增益故障模式,利用Lyapunov-Krasovskii泛函方法和线性矩阵不等式方法,推导了当一类非线性不确定系统满足一定范数有界条件时,闭环系统时滞无关鲁棒容错控制器存在的充分条件,并给出了状态反馈鲁棒容错控制器的设计方法.将所设计的状态反馈控制方法应用于某一非线性不确定时滞系统,仿真结果表明设计的控制器不仅使得该故障系统对于执行器故障具有完整性,并且能达到给定的H∞性能指标,从而验证了所提出方法的可行性和有效性.     

LMI方法非脆弱鲁棒H∞控制器设计

研究了控制器增益在加法式摄动下的非脆弱鲁棒H∞控制问题,基于线性矩阵不等式(LMI)理论,提出了非脆弱鲁棒H∞控制器存在的充分条件,将具有控制器增益不确定性的非脆弱鲁棒控制器设计问题,化为具有线性矩阵不等式约束和线性目标函数的凸优化问题求解,得到了一种非脆弱鲁棒H∞状态反馈控制器的简化设计方法.所设计的控制器在容许的增益摄动下,仍能保证闭环系统的稳定性和性能要求,系统不仅具有鲁棒性而且是非脆弱的,从而使系统具有更高的可靠性.仿真结果表明了设计方法的有效性.     

EPC物联网络系统的随机控制

针对EPC物联网络系统中存在的随机性时延,剖析了EPC物联网络系统的结构及特点,并建立了EPC物联网络系统的控制模型,其中时滞满足Markov链要求。研究了EPC物联网络控制系统的H∞随机控制问题,基于LMI方法,可以很方便地求出状态反馈控制器,并可使闭环系统具有良好的动、静态性能和抗干扰能力。     

EPC物联网络系统的H∞控制问题

针对EPC物联网络系统中存在的时变与不确定性时延问题,建立了EPC物联网络系统的控制模型,假设系统中的时延满足一定的结构性要求下,研究了EPC物联网络控制系统的H∞控制问题。基于LMI方法,可以很方便地求出状态反馈控制器,并可使闭环系统具有良好的动、静态性能。数值算例及仿真结果证明了所得结论的有效性。     

T-S模糊系统非脆弱跟踪控制器设计

针对T-S模糊系统,研究了非脆弱H∞跟踪控制器的设计问题.目的是通过设计跟踪控制器使得被控闭环系统满足给定的H∞跟踪控制性能指标.本文采用线性矩阵不等式(LMI)方法,求解过程不必通过二次迭代的两步算法,所设计的控制器在一定的加性参数变化情况下,仍能保证系统的渐进稳定性.最后,通过单关节刚性机械臂系统的仿真实验表明了该方法的有效性.     

离散时滞切换系统的状态反馈H_∞控制

针对一类子系统为离散时滞系统的切换系统,研究系统H∞性能与状态反馈H∞控制问题。基于多李雅普诺夫函数法,以线性矩阵不等式形式给出了在任意切换信号作用下离散时滞切换系统具有H∞性能的充分性条件,并且给出了切换系统状态反馈H∞控制设计的一种方案。并将结果推广到不确定离散时滞切换系统。通过数值算例表明了结论的可行性。     

离散时滞切换系统的状态反馈H∞制

针对一类子系统为离散时滞系统的切换系统,研究系统H∞性能与状态反馈H∞控制问题.基于多李雅普诺夫函数法,以线性矩阵不等式形式给出了在任意切换信号作用下离散时滞切换系统具有H∞性能的充分性条件,并且给出了切换系统状态反馈H∞控制设计的一种方案.并将结果推广到不确定离散时滞切换系统.通过数值算例表明了结论的可行性.     

Non-Fragile Robust Guaranteed Cost Control of?2-D?Discrete Uncertain Systems Described by?the?General Models

The problem of non-fragile robust guaranteed cost control for a class of two-dimensional (2-D) discrete systems in the general model (GM) with norm-bound uncertainties is investigated. The purpose is to design a non-fragile state feedback controller such that the closed-loop system is asymptotically stable and the cost function value is not more than an upper bound for all admissible uncertainties. The cost function is proposed and an upper bound of the cost function is given. By using a linear matrix inequalities (LMIs) approach, a sufficient condition for the solvability of the problem is obtained. A desired non-fragile state feedback controller can be constructed by solving a set of LMIs. An example is provided to demonstrate the application of the proposed design method.     

基于T—S模型的旋转式起重机稳钩保性能控制

基于T-S模型的保性能控制对控制带有不确定性系统（如旋转式起重机稳钩系统）有很好的鲁棒性,把系统可稳和保性能控制转化为解一系列矩阵不等式（LMI）的问题,得出最优的反馈矩阵,设计出基于T-S模型的最优保性能控制器,并对这种方法进行了仿真。结果表明,这种方法简单可行,并且具有很好的鲁棒性。     

一类离散切换系统的性能分析

针对一类含有不确定性和时滞的离散切换系统,探讨了H∞性能分析问题。假设所考虑的线性不确定性具有线性分式形式,综合利用Lyapunov-Krasovskii函数和Finsler’s引理,给出判断系统满足H∞性能界γ的充分条件,并且γ的上界可以通过求解一组线性矩阵不等式获得。最后通过一个数值算例说明方法的有效性。     

Robust Non-Fragile Guaranteed Cost Control for Nonlinear Time Delay Discrete-Time Systems Based on T-S Model

This paper concerns the robust non-fragile guaranteed cost control for nonlinear time delay discrete-time systems based on Takagi-Sugeno （T-S） model. The problem is to design a guaranteed cost state feedback controller which can tolerate uncertainties from both models and gain variation. Sufficient conditions for the existence of such controller are given based on the linear matrix inequality （LMI） approach combined with Lyapunov method and inequality technique. A numerical example is given to illustrate the feasibility and effectiveness of our result.     

不确定奇异系统的模糊保成本控制

基于T-S模糊模型,研究一类具有状态和输入滞后的不确定奇异系统的模糊保成本控制问题.基于线性矩阵不等式(LMI)的可解性,给出了状态反馈保成本控制器存在的充分条件,该条件保证闭环系统是二次型稳定的,还能获得闭环成本值的上界,所有结果均以线性矩阵不等式的形式给出.数值仿真结果表明该方法是有效的.     

An output-feedback fuzzy approach to guaranteed cost control of vehicle lateral motion

This paper introduces a fuzzy guaranteed cost control approach for automated steering of a highway vehicle. The Takagi–Sugeno (T–S) fuzzy model is utilized to depict the dynamics of nonlinear time-varying lateral system. Based on the fuzzy model, an observer-based fuzzy controller is developed so that without knowing road’s curvature the vehicle can track center of the present lane on a curved highway section. Integrating H_∞ control and optimal control strategies, the fuzzy controller and observer are formulated by solving a minimization problem, which is to minimize a given quadratic performance function. Sufficient conditions to ensure minimum upper bound of the performance function are derived in terms of linear matrix inequalities (LMIs). Therefore, the designing work can be efficiently completed by applying the convex optimization techniques. Verified by computer simulation, the proposed method can perform well in driving safety and ride comfort.     

Robust guaranteed cost control for a class of two-dimensional discrete systems with shift-delays

This paper considers the problem of robust guaranteed cost control for uncertain two-dimensional (2-D) discrete shift-delayed systems in Fornasini–Marchesini (FM) second model. The parameter uncertainty is assumed to be norm-bounded. The problem addressed is the design of state feedback controllers such that the closed-loop system is asymptotically stable and an adequate level of performance can be guaranteed for all admissible uncertainties. The cost function with shift-delays is proposed and an upper bound of the cost function is given. In terms of a linear matrix inequality (LMI), a sufficient condition for the solvability of the problem is obtained. A desired state feedback controller can be constructed by solving a certain LMI. A numerical example is provided to demonstrate the application of the proposed method.     

基于T-S模型的混沌保密通信系统设计

基于T-S模型讨论了混沌系统的鲁棒同步问题,模糊控制器对于混沌系统本身受到的外界扰动具有一定的鲁棒性能,并将该方法应用于基于混沌同步的保密通信系统设计,实现了对数字图像的保密通信。通过对离散Henon混沌系统的仿真,证实了该方法的有效性。     

An improved LMI-based criterion for the design of optimal guaranteed cost controller for 2-D discrete uncertain systems

An improved criterion for the design of optimal static-state feedback guaranteed cost controller for two-dimensional (2-D) discrete uncertain systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model is proposed. The design problem of the optimal guaranteed cost controller is formulated as a convex optimization problem with linear matrix inequality (LMI) constraints. The proposed method yields tighter upper bound of the closed-loop cost function as compared to a recently reported method.