基于高阶PI观测器的不确定线性系统鲁棒故障检测设计

针对一类受干扰影响的不确定线性系统,研究了基于高阶比例积分 (proportional integral, PI)观测器的鲁棒故障检测设计问题。通过对一类Sylvester矩阵方程的参数化解,将基于高阶PI观测器的鲁棒故障检测问题转化为具有多约束的优化问题。基于该优化问题的解,给出了具有鲁棒故障检测功能的高阶PI观测器存在的充要条件,并给出受干扰影响的不确定线性系统的鲁棒故障检测设计方法。最后,数值算例及仿真分析结果验证了所提方法的有效性。     

Robust passive control for discrete-time T-S fuzzy systems with delays

This article deals with the robust stability analysis and passivity of uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delays. The T-S fuzzy model with parametric uncertainties can approximate nonlinear uncertain systems at any precision. A sufficient condition on the existence of robust passive controller is established based on the Lyapunov stability theory. With the help of linear matrix inequality (LMI) method, robust passive controllers are designed so that the closed-loop system is robust stable and strictly passive.  urthermore, a convex optimization problem with LMI constraints is formulated to design robust passive controllers with the maximum dissipation rate. A numerical example illustrates the validity of the proposed method.     

T-S模糊时滞系统的鲁棒无源控制

基于Lyapunov稳定性理论,时具有参数不确定性的T-S模糊时滞系统的鲁棒稳定性和无源性进行了研究.具有参数不确定性的T-S模糊模型可以任意精度近似连续非线性不确定系统.假设系统中的参数不确定性是范数有界的.运用Lyapunov稳定性理论给出了鲁棒无源控制器存在的充分条件.通过解一组线性矩阵不等式(LMIs),可直接获得鲁棒无源控制器.所设计的鲁棒无源控制器能够保证对于T-S模糊时滞系统中所有的参数不确定性,闭环系统都是鲁棒稳定的并且是严格无源的.并且,通过求解带有约束条件的线性矩阵不等式问题,可以设计出具有最大耗散率的鲁棒无源控制器.数值例子验证了所提出设计方法的有效性.     

T-S模糊系统的一种新型PDC鲁棒模糊控制器设计

针对一类模有界的参数不确定Takagi-Sugeno(T-S)模糊系统,在分析模糊系统前提规则结构的基础上,设计了一种新的并行分配补偿(PDC)控制器,研究了其鲁棒控制问题。基于分段Lyapunov稳定性理论,导出了线性矩阵不等式(LMI)形式的鲁棒控制器设计方法。该方法充分利用了模糊系统隶属度函数的结构信息,降低了采用线性矩阵不等式方法求解的难度。仿真实验证明,通过该方法设计的模糊控制系统,具有良好的鲁棒性能,控制效果良好。     

不确定随机跳变时滞系统非脆弱H∞滤

针对一类具有马尔可夫跳变参数的It^o类型不确定随机时滞系统,讨论了该类系统的鲁棒非脆弱H_∞滤波问题。在被控对象及滤波器同时存在不确定性的情况下,闭环滤波误差系统渐近稳定,干扰抑制性能指标小于给定上界。通过构造一个Lyapunov Krasovskii泛函,应用It^o微分公式沿系统对其求微分,再运用线性矩阵不等式（linear matrix inequality, LMI）和It^o公式,给出了非脆弱滤波器存在的可解性条件。通过数值算例表明了该方法的有效性。     

Robust dissipative filtering for continuous-time polytopic uncertain neutral systems

This article is concerned with the problem of robust dissipative filtering for continuous-time polytopic uncertain neutral systems. The main purpose is to obtain a stable and proper linear filter such that the filtering error system is strictly dissipative. A new criterion for the dissipativity of neutral systems is first provided in terms of linear matrix inequalities (LMI). Then, an LMI sufficient condition for the existence of a robust filter is established and a design procedure is proposed for this type of systems. Two numerical examples are given. One illustrates the less conservativeness of the proposed criterion; the other demonstrates the validity of the filtering design procedure.     

离散模糊时滞系统的鲁棒LQ/H_∞非脆弱控制

针对一类由T-S模糊模型描述的不确定离散非线性时滞系统,讨论其在控制器存在可加性摄动情形下的鲁棒LQ/H_∞非脆弱控制问题.通过构造适当的Lyapunov函数,给出以线性矩阵不等式形式表示的系统时滞依赖稳定的充分条件以及相应的鲁棒LQ/H_∞非脆弱控制器设计方法.数值仿真表明,所构造的控制器不仅能够保证闭环模糊时滞系统的鲁棒渐近稳定性,还能使系统达到一定的H_∞干扰抑制水平.     

离散模糊时滞系统的鲁棒LQ/H∞非脆弱控制

针对一类由T-S模糊模型描述的不确定离散非线性时滞系统,讨论其在控制器存在可加性摄动情形下的鲁棒LQ/H_∞非脆弱控制问题。通过构造适当的Lyapunov函数,给出以线性矩阵不等式形式表示的系统时滞依赖稳定的充分条件以及相应的鲁棒LQ/H_∞非脆弱控制器设计方法。数值仿真表明,所构造的控制器不仅能够保证闭环模糊时滞系统的鲁棒渐近稳定性,还能使系统达到一定的H_∞干扰抑制水平。     

广义线性系统的鲁棒状态反馈特征结构配置

针对具有参数摄动广义线性系统的鲁棒状态反馈特征结构配置问题 ,提出了一种优化算法。该算法的设计目标是使闭环特征值和特征向量所满足的方程组关于参数摄动误差为最小。根据广义线性系统状态反馈特征结构配置结果 ,给出了优化指标的完全参数表示。该算法简单、有效 ,且可以给出鲁棒性较强的控制系统。数值例子表明了算法的有效性     

Robust H_∞ control for uncertain descriptor systems with state and control delay

1 .INTRODUCTIONTi me delayis commonly encounteredin various en-gineering systems ,which often occursinthe trans-mission of information or material between differ-ent parts of a systemand is frequently a source ofinstability and poor performance[1]. Transporta-tion systems , communications systems , chemicalprocess , power systems are typical examples ofti me-delay systems . In the recent years , muchwork has been devoted to the analysis and synthe-sis of controller for state-delayed system…     

ROBUST STABILITY WITH GUARANTEEING COST FOR DISCRETE TIME-DELAY SYSTEMS WITH NONLINEAR PERTURBATION

The problems of robust stability and robust stability with a guaranteeing cost for discrete time-delay systems with nonlinear perturbation are discussed. A sufficient criterion for robust stability is established in an LMI framework and a linear convex optimization problem with LMI constraints for computing maximal perturbation bound is proposed. Meanwhile, a sufficient criterion for robust stability with a guaranteeing cost for such systems is obtained, and an optimal procedure for decreasing the value of guaranteeing cost is put forward. Two examples are used to illustrate the efficiency of the results.     

Lurie型不确定控制系统鲁棒稳定的时滞界

对于具有多个时滞的Lurie型不确定控制系统给出保证其鲁棒稳定的时滞界,从而得到了该系统时滞相关鲁棒稳定的充分条件,降低了有关判定系统鲁棒稳定性条件的保守性.最后给出一个例子说明本文结果.     

不确定线性描述系统的鲁棒H∞滤波器

研究了一类含有参数不确定性和未知扰动的线性描述系统的鲁棒H_∞滤波器设计问题。在容许、可观测的假设下,基于描述系统的有界实引理给出了鲁棒H_∞滤波器存在的充分条件。将滤波器存在条件转化为线性矩阵不等式的形式,可以利用线性矩阵不等式方法求解。推导了滤波器参数的等效形式,简化了滤波器系数矩阵的计算过程。最后,通过数值算例说明了所提出的方法的性能。     

带丢包和量化的参数不确定系统滚动时域估计

针对网络化系统中丢包、量化和参数不确定性对状态估计的影响,提出一种带有预测补偿机制的鲁棒滚动时域估计算法。将丢包现象描述为概率已知的随机Bernoulli序列,并利用丢失数据的预测值进行丢包补偿,将数据量化引入的量化误差描述为观测方程中的一个有界不确定参数,将模型的不确定性描述为系统矩阵受到随机扰动,基于滚动优化策略,考虑量化和模型不确定性影响最严重的情况,通过滚动求解一个min-max问题得到最优状态估计器。对所提算法进行稳定性分析,推导了估计误差范数平方期望的一个上界函数,给出了估计误差范数平方期望收敛的充分条件。最后,通过仿真验证了所提算法的有效性。     

Robust H∞ control for uncertain stochastic saturating systems with time delays

The robust H∞ control problem for uncertain stochastic time-delay systems containing nonlinear actuators is considered. The uncertainties in the systems are assumed to satisfy specific match condition. The time delays exitst in state as well as control input. The new stochastic robust stabilization criterion and a sufficient condition for the existence of stochastic robust stabilizing control law are derived. The delay-independent memoryless robust H∞ controllers are constructed to stabilize the given systems in terms of a group of linear matrix inequalities. A numerical simulation example is presented to show that the proposed approach is valid.     

Delay-dependent robust H∞ control for uncertain discrete time-delay fuzzy systems

The robust H∞ control problem of norm bounded uncertain discrete Takagi-Sugeno (T-S) fuzzy systems with state delay is addressed. First, by constructing an appropriate basis-dependent Lyapunov-Krasovskii function, a new delay-dependent sufficient condition on robust H∞-disturbance attenuation is presented, in which both robust stability and prescribed H∞ performance are guaranteed to be achieved. Then based on the condition, a delay-dependent robust H∞ controller design scheme is developed in term of a convex algorithm. Finally, examples are given to illustrate the effectiveness of the proposed method.     

Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty

The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadratic cost performance function. The problem that is addressed in this study is to design a decentralized robust guaranteed cost state feedback controller such that the closed-loop system is not only regular, impulse-free and stable, but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust guaranteed cost state feedback controllers is proposed in terms of a linear matrix inequality (LMI) via LMI approach. When this condition is feasible, the desired state feedback decentralized robust guaranteed cost controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach.     

T-S模糊系统的鲁棒耗散控制

通过应用Lyapunov稳定性理论,研究了具有参数不确定性的T-S模糊系统的鲁棒稳定性和耗散性。具有参数不确定性的T-S模糊模型可以以任意精度近似连续非线性不确定系统。假设系统中的参数不确定性是范数有界的。利用Lyapunov稳定性理论给出了鲁棒耗散控制器存在的充分条件。通过解一组线性矩阵不等式(LMIs),可获得鲁棒耗散控制器。设计的鲁棒耗散控制器能够保证对于T-S模糊系统中所有的参数不确定性,闭环系统都是稳定的,且满足给定的耗散性能指标。数值例子证明了方法的有效性。