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.

Integral sliding mode control of time-delay systems with mismatching uncertainties

A linear matrix inequality （LMI）-based sliding surface design method for integral sliding mode control of uncertain time- delay systems with mismatching uncertainties is proposed. The uncertain time-delay system under consideration may have mis- matching norm bounded uncertainties in the state matrix as well as the input matrix, A sufficient condition for the existence of a sliding surface is given to guarantee asymptotic stability of the full order slJdJng mode dynamics. An LMI characterization of the slid- ing surface is given, together with an integral sliding mode control law guaranteeing the existence of a sliding mode from the initial time. Finally, a simulation is given to show the effectiveness of the proposed method.

Observer-based adaptive control of uncertain time-delay switched systems with stuck actuator faults

This paper concerns the observer-based adaptive control problem of uncertain time-delay switched systems with stuck actuator faults. Under the case where the original controller cannot stabilize the faulty system, multiple adaptive controllers are designed and a suitable switching logic is incorporated to ensure the closed-loop system stability and state tracking. New delay-independent sufficient conditions for asymptotic stability are obtained in terms of linear matrix inequalities based on piecewise Lyapunov stability theory. On the other hand, adaptive laws for on-line updating of some of the controller parameters are also designed to compensate the effect of stuck failures. Finally, simulation results for reference [1] model show that the design is feasible and efficient.

Guaranteed cost control of uncertain system with input time-delay

For the uncertain continuous-time systems with input time-delay that widely exist in the production processes, we can get the existent conditions for the guaranteed cost control of these systems by using the Lyapunov stability theory, linear matrix inequalities theory and quadratic cost criterion. We can achieve the guaranteed cost control of this system by solving a matrix inequality. A state feed back guaranteed cost control law can be constructed by solving certain parameter-dependent Riccati matrix equation.

Lurie型不确定时滞系统的时滞相关鲁棒绝对稳定性

针对一类具有范数有界不确定参数和未知常时滞的Lurie型不确定系统,建立了系统的时滞相关鲁棒绝对稳定性判据。所得结果表示为线性矩阵不等式(LMI)形式,应用MATLAB LMI工具箱迭代求解可以得到时滞的上界,从而可对系统的允许时滞作出较高的估计。最后以一个例子说明其用法,并与现有文献比较以显示其有效性。

一类不确定性Lurie控制系统的鲁棒绝对稳定判据

为了探讨具有不确定参数Lurie控制系统的鲁棒绝对稳定性问题,针对一类具有范数有 界不确定性系统,利用Lyapunov函数方法,结合矩阵不等式,给出了系统基于线性矩阵不等式的鲁 棒绝对稳定性判别条件,并通过算例给予验证.

不确定Lurie时滞系统绝对稳定性分析

研究了不确定Lurie时滞系统的绝对稳定问题。通过构造适当的Lyapunov泛函、引入一些自由权矩阵和充分考虑时滞导数的上限信息,得到了基于LMIs(线性矩阵不等式)形式的时滞相关绝对稳定性新准则,两个数值例子验证了所得结论的有效性和更弱保守性。

时滞不确定Lurie系统的鲁棒绝对稳定性准则

研究一类具有时变时滞的范数有界结构不确定性Lurie控制系统的鲁棒绝对稳定性问题。利用Lyapunov-Krasovskii泛函方法,分别给出系统在无限扇形及有限扇形角内绝对稳定的时滞相关充分条件,所给的判定条件是线性矩阵不等式(LMI)形式的,可以很方便地运用Matlab工具箱求解。两个数值实例表明,本文所给条件是有效及可行的。

一类不确定Lurie系统的输出反馈H_∞滑模控制问题

研究了一类不确定Lurie系统的输出反馈H∞滑模控制问题,并证明了设计的切换面的可达性,基于Lyapunov稳定性理论给出了系统渐稳的充分条件.

一类不确定性Lurie控制系统的鲁棒绝对稳定的新判据

针对一类具有范数有界不确定性系统,利用Lyapunov函数方法,结合矩阵不等式技巧,给出了系统基于线性矩阵不等式(LM I)的鲁棒绝对稳定性判别条件,并通过算例给予了验证.

On exponential stability for systems with state delays

This paper considers the issue of delay-dependent exponential stability for time-delay systems. Both nominal and uncertain systems are investigated. New sufficient conditions in terms of linear matrix inequalities(LMIs) are obtained. These criteria are simple owing to the use of an integral inequality. The model transformation approaches,bounding techniques for cross terms and slack matrices are all avoided in the derivation. Rigorous proof and numerical examples showed that the proposed criteria and those based on introducing slack matrices are equivalent.

Adaptive Output Feedback Regulation for a Class of Uncertain Feedforward Time-Delay Nonlinear Systems

This paper addresses the global output feedback regulation problem for a class of uncertain feedforward time-delay nonlinear systems.Unlike to the previous works,the nonlinear functions in the class of systems under consideration are dominated by an input-output function multiplied by an unknown parameter and linear unmeasured states.By using only one dynamic gain and an appropriate Lyapunov-Krasovskii functionals,it is shown that the closed-loop system is globally asymptotically stable.Finally,a numerical example is provided to illustrate the effectiveness of the proposed design scheme.

Robust passive control of uncertain switched time-delay systems: a sliding mode control design

In this paper, the problem of sliding mode control （SMC） with passivity for a class of uncertain switched time-delay systems is studied. By means of the multiple Lyapunov functions techniques, a delay-dependent sufficient condition for the existence of linear sliding surface of subsystem is deduced in which the solution to the switched sliding mode dynamics is robustly exponentially stable and passive under a state-based switching law. Moreover, the sliding mode controller is designed to drive the system trajectories onto the predefined sliding surface of subsystem in finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

STABILITY CRITERIA FOR A CLASS OF UNCERTAIN SYSTEMS WITH TIME-DELAY

Some stability criteria are obtained for a class of uncertain systems with time-delay usingLyapunov functional and analytic techniques. It is easy to check the criteria by making use of theboundedness of the uncertainties.

一类可变换为鲁里叶直接型的非线性不确定系统的镇定

运用非线性系统的精确线性化方法，将一类执行机构不确定的仿射非线性系统变换成直接型鲁里叶系统，从而解决了这类系统的镇定问题．

两类不确定非线性系统的输出稳定方法研究

解决了两类不确定非线性系统的输出稳定控制问题．第一类问题是通过部分线性化将不确定输入的影响进行解耦再应用极点配置方法得以解决的；第二类问题是通过部分线性化得到一个直接型的鲁里叶子系统，再应用鲁里叶理论加以解决的．提出的方法适用范围很广，设计非常简便．

一类控制机构特性不确定非线性系统的镇定

运用非线性系统的精确线性化方法和Ｌｉｅ代数工具，将一类满足一定条件的，其中一个输入控制机构特性不确定的双输入－单输出仿射型非线性系统变换成直接型的普里叶系统，再应用鲁里叶的绝对稳定性判据，通过选择恰当的状态反馈矩阵，使所得直接型鲁里叶闭环系统绝对稳定于坐标原点，从而使得原非线性系统在给定的控制机构不确定特性范围内镇定于其平衡点，并且求得了镇定控制律的解析形式。本文在将鲁里叶理论推广到非线性情形的同时，解决了一类不确定系统的镇定问题。一个设计例子及仿真结果验证了本文提出方法的正确性。