不确定非线性时滞系统的鲁棒可靠控制

研究一类包含状态时滞的未知非线性扰动项和参数不确定性的不确定时滞系统基于状态观测器的鲁棒可靠控制问题。其中非线性满足范数有界条件,参数不确定性是时变的。目的是设计状态观测器和线性无记忆观测状态反馈控制器,使得对于任意容许的不确定性以及在系统中预先指定的执行器子集合的执行器的失效,相应的闭环系统渐近稳定。最后给出一个数值例子验证了所得结果的有效性。     

不确定性时滞大系统的分散鲁棒H_∞控制

研究一类具有状态时滞的内联不确定性动态大系统的分散鲁棒 H∞ 控制问题 .系统的不确定性参数满足范数有界条件 .得到了由无记忆状态反馈分散控制器使每一个子系统和整个大系统都可镇定且满足给定 H∞ 性能的充分条件 .所得结果与系统时滞的大小有关 ,并以线性矩阵不等式的形式给出     

不确定性时滞大系统的分散鲁棒H∞控制

研究一类具有状态时滞的内联不确定性动态大系统的分散鲁棒H∞控制问题.系统 的不确定性参数满足范数有界条件.得到了由无记忆状态反馈分散控制器使每一个子系统和 整个大系统都可镇定且满足给定H∞性能的充分条件.所得结果与系统时滞的大小有关,并 以线性矩阵不等式的形式给出.     

不确定时滞系统的基于Razumikhin定理的鲁棒H∞可靠控制

主要研究了一类状态时滞不确定线性系统的时滞依赖鲁棒H∞可靠控制问题.系统状 态矩阵和时滞状态矩阵中存在着范数有界的时变参数不确定性,故障执行器集合是执行器集合 的子集.采用Razumikhin定理,最终将问题归结为通过线性矩阵不等式(Linear Matrix Inequalities,LMIs) 的求解得到无记忆状态反馈鲁棒H∞可靠控制器综合设计方法.     

一类不确定时滞系统的时滞依赖鲁棒可靠镇定

主要研究了一类状态时滞不确定性线性系统的时滞依赖鲁棒可靠镇定问题,系统状态矩阵和时滞状态矩阵中在着范数有界的时变参数不确定性,故障执行器集合是执行器集合的子集,采用双积分型Lyapunov函数,最终将问题归结为求解LMI,最后给出一个数值例子验证方法的可行性。     

离散多步时滞系统的容错控制研究

针对离散多步时滞系统,基于Lyapunov稳定性理论,采用具有状态反馈及时滞状态反馈的控制律,推出了当执行器或传感器发生失效故障时闭环系统仍能保持渐近稳定需满足的充分条件;并利用LMI给出了不依赖时滞的线性离散多步时滞系统的容错控制器的通用求解方法;讨论了该方法对具有不同时滞步数离散多步时滞系统容错的普适性。以执行器失效故障为例,仿真结果证明了该方法的有效性。     

时变时滞不确定性系统的状态反馈控制器设计

研究一类不确定性动态系统.这类系统具有多重时变状态时滞和多重时变控制输 入时滞,其不确定性满足范数有界条件.采用黎卡提方程方法,得到了这类不确定性时滞系 统可状态反馈镇定的充分条件.通过解一个特定的黎卡提不等式,即可得到镇定已知系统的 控制器.     

不确定性时滞系统的鲁棒镇定控制器设计——LMI 方法*

采用线性矩阵不等式方法,研究一类不确定性动态系统,这类系统具有多重时变状态时滞多重时变控制输入时滞,其不确定性满足范数有界条件。我们得到一了类不确定性时滞系统的可状态反馈镇定的充分条件。     

Delta算子时滞系统的可靠D--镇定

研究同时含有执行器故障和传感器故障的Delta算子时滞系统的鲁棒可靠D-镇定问题.利用矩阵特征值理论和线性矩阵不等式方法,给出了Delta算子时滞系统D-稳定的充分条件,进而,针对同时含有执行器故障和传感器故障的Delta算子范数有界参数不确定时滞系统,设计鲁棒可靠D-镇定状态反馈控制器,使得对于所有容许的不确定性、执行器故障和传感器故障,Delta算子闭环时滞系统的极点均落在复平面指定圆盘区域内.最后,通过数值算例验证了控制器设计方法的可行性和有效性.     

非线性中立型时滞系统的鲁棒耗散控制

研究了非线性中立型时滞系统的鲁棒耗散控制问题,系统包含状态时滞和非线性不确定性,基于Lyapunov稳定性理论,给出了该类时滞系统在非线性不确定性满足增益有界的条件下耗散控制器存在的充分条件,并通过线性矩阵不等式(LMI)方法构造得出耗散控制状态反馈律,最后给出一个数值算例验证了本文结果的有效性.     

Exponential stability of singularly perturbed systems with time delay and uncertainties

Recently, there are several studies on singularly perturbed systems with time delay and uncertainties. However, the existing results show only the limited results on either time delay or uncertainties. For time delay, small time delay or time delay only on the slow state are considered while, for uncertainties, the uncertain linear singularly perturbed system or the uncertain nonlinear singularly perturbed system with the conservative condition on uncertainties are considered. In this paper, the exponential stability of singularly perturbed systems with both time delay and uncertainties is investigated in the general form.     

基于状态观测器的非理想输入不确定组合大系统的输出反馈分散镇定

基于状态观测器,讨论了不确定相似组合系统的鲁棒分散输出反馈镇定问题,系统的输入是非理想的,不确定项存在于系统内部和各子系统的关联项中,它们可能是非线性或时变的,且满足通常的匹配条件,使用变结构原理设计控制器,所设计的控制器保证系统渐近稳定,研究结果表明,系统的相似性有助于简化对系统的分析和设计;仿真结果表明,本文的方法是有效的。     

Parametric Absolute Stabilization for Interconnected Lurie Time‐Delay Systems with Polytopic Uncertainty

The paper considers the parametric absolute stabilization for interconnected Lurie time‐delay systems with polytopic uncertainty. The concept of parametric absolute stabilization characterizes both the existence and the stability of equilibrium in the case of uncertain parameters and reference input shift. First, the existing conditions of parametric stability and the stable region are studied by the change of the uncertain parameters and reference input based on decentralized state feedback. Then, a delay‐dependent absolute stability condition in parametric stabilization region for interconnected Lurie time‐delay systems with polytopic uncertainties is obtained through a linear matrix inequality method. Finally, an example is given to illustrate the effectiveness of the proposed method.     

Decentralized adaptive robust control for a class of large scale systems with uncertainties in the interconnections

The problem of decentralized control is considered for a class of time-varying large scale systems with uncertainties and external disturbances in the interconnections. In this paper, the upper bounds of the uncertainties and external disturbances are assumed to be unknown. The adaptation laws are proposed to estimate such unknown bounds, and by making use of the updated values of these unknown bounds, a class of decentralized linear and non-linear state feedback controllers are constructed. It is shown that by employing the proposed decentralized non-linear state feedback controllers, the solutions of the resulting adaptive closed-loop large scale system can be guaranteed to be uniformly bounded, and the states are uniformly asymptotically stable. By using the decentralized linear state feedback controllers, one can guarantee the uniform ultimate boundedness of the resulting adaptive closed-loop large scale system. Finally, a numerical example is given to demonstrate the validity of the results.     

不确定性关联大系统的分散鲁棒状态反馈H_∞控制

研究同时存在系统矩阵、控制输入矩阵的不确定和系统关联不确定变化以及外界干扰的关联大系统的分散H_∞ 控制问题, 提出一种较为全面的局部状态反馈分散H_∞ 控制器的设计方法. 局部控制器的求解只需递推地利用一系列局部代数Riccati方程. 最后通过实例表明该方法的有效性.     

Decentralized filtering adaptive constrained tracking control for interconnected nonlinear systems

This paper presents a novel decentralized filtering adaptive constrained tracking control framework for uncertain interconnected nonlinear systems. Each subsystem has its own decentralized controller based on the established decentralized state predictor. For each subsystem, a piecewise constant adaptive law will generate total uncertainty estimates by solving the error dynamics between the host system and decentralized state predictor with the neglection of unknowns, whereas a decentralized filtering control law is designed to compensate both local and mismatched uncertainties from other subsystems, as well as achieve the local objective tracking of the host system. The achievement of global objective depends on the achievement of local objective for each subsystem. In the control scheme, the nonlinear uncertainties are compensated for within the bandwidth of low‐pass filters, while the trade‐off between tracking and constraints violation avoidance is formulated as a numerical constrained optimization problem which is solved periodically. Priority is given to constraints violation avoidance at the cost of deteriorated tracking performance. The uniform performance bounds are derived for the system states and control inputs as compared to the corresponding signals of a bounded closed‐loop reference system, which assumes partial cancelation of uncertainties within the bandwidth of the control signal. Compared with model predictive control (MPC) and unconstrained controller, the proposed control architecture is capable of solving the tracking control problems for interconnected nonlinear systems subject to constraints and uncertainties.     

一类时滞切换大系统的分散控制器设计

考虑一类常数时滞切换大系统的分散状态反馈控制器设计问题。在低维时滞子系统的单个子系统均不能被镇定的情况下,基于凸组合技术和线性矩阵不等式方法,设计出分散控制器和分散切换律,保证闭环系统渐近稳定。仿真结果表明所设计方法的可行性和有效性。     

ROBUST CONTROL FOR A CLASS OF UNCERTAIN STATE‐DELAYED SINGULARLY PERTURBED SYSTEMS

This paper considers the problem of robust control for a class of uncertain state‐delayed singularly perturbed systems with norm‐bounded nonlinear uncertainties. The system under consideration involves state time‐delay and norm‐bounded nonlinear uncertainties in the slow state variable. It is shown that the state feedback gain matrices can be determined to guarantee the stability of the closed‐loop system for all ∞ ∞ (0, ∞00) and independently of the time‐delay. Based on this key result and some standard Riccati inequality approaches for robust control of singularly perturbed systems, a constructive design procedure is developed. We present an illustrative example to demonstrate the applicability of the proposed design approach.     

一类线性离散时滞大系统的分散镇定

用一组线性矩阵不等式给出一类线性离散时滞大系统分散能镇定的一个充分条件,进而,通过建立和求解一个凸优化问题,提出了具有较反馈增益参数的分散稳定化状态反馈控制律的设计方法,所得到的控制器不仅使得闭环境系统是稳定的,而且还可以使得闭环系统状态具有给定的衰减度。     

不确定性时滞大系统的分散鲁棒跟踪控制器设计

研究不确定性关联时滞大系统的分散鲁棒输出跟踪控制问题,系统中不确定项具有数值界,可满足匹配条件,基于不确定项的表达形式,给出了存在分散分散鲁棒跟踪控制器的线性矩阵不等式（LMI）条件,在此基础上,通过建立求解受LMIs约束的凸优化问题,提出了具有较小反馈增益LMI设计方法,使受控系统渐近跟踪给定的参考输入,LMI方法求解简单,便于计算。