一类非线性组合大系统的分散鲁棒镇定

研究一类比较广泛的非线性组合大系统的分散鲁棒镇定问题。给出了检验这类非线性组合大系统可分散鲁棒镇定的条件,该判别条件只     

拟对称组合大系统的稳定性分析

给出拟对称组合大系统准解耦变换的一种方法, 根据这个结果讨论了这类组合大系统的稳定性问题. 这对于某些实际问题, 如大型电力供应系统、多直升机吊物系统及大范围动物种群生态系统等有着重要的理论与应用价值.     

关于非线性大系统的集结方程与稳定性

本文研究了非线性大系统的稳定性问题.讨论了子系统的稳定强度以及子系统间连接强 度的定义,指出利用这些概念可以直接建立大系统的集结方程.文中提出了三类集结模型: 线性的、定范围线性的以及非线性的集结模型.分析和例子表明这种集结方程给出的稳定性 判据,是较少保守的.     

一类非线性组合大系统的分散输出反馈鲁棒镇定

研究了不确定非线性子系统经不确定非线性互联而成的组合大系统,给出了其可分 散输出反馈鲁棒镇定的充分条件,说明了所得结论的广泛适用性以及相似结构与全息特性的 密切相关性.     

一类非线性组合大系统的分散输出反馈鲁棒镇定1)

研究了不确定非线性子系统经不确定非线性互联而成的组合大系统,给出了其可分散输出反馈鲁棒镇定的充分条件,说明了所得结论的广泛适用性以及相似结构与全息特性的密切相关性.     

一类不确定组合大系统的稳定性：Riccati方程方法

本文研究了一类不确定线性组合大系统的二次稳定性问题，该类系统含有时变的未知但有界的不确定性参数，给出了完全用子系统描述的不确定组合大系统的稳定性充分条件，做为主要结果的特例，给出了不含不确定参数的组合大系统的用子系统描述的稳定性条件。     

基于状态观测器的非线性相似组合大系统的镇定设计

研究了由非线性相似子系统经时变非线性互联而成的非线性组合大系统.首先,设 计出该组合大系统的状态观测器,然后,给出一种基于此观测器所得的估计状态使整个大系 统镇定的控制器设计方案,其结果表明相似结构能简化组合大系统的分析与设计.最后,将所 得结论应用于轴盘传动系统,仿真结果表明所得方法的有效性.     

一类不确定相似广义互联系统的广义状态重构

研究了一类具有相似结构的广义互联系统 ,根据系统的相似结构构造了一个动态组合系统 ,并以组合系统的可测输出为基础来实现广义互联系统中各个子系统的广义状态重构 ,从而提出了相似性研究的新方向 .这类系统的各个孤立子系统都包含非线性项 ,而且子系统之间的互联项都是非线性非匹配不确定的 ,研究表明 ,广义互联系统的相似结构可以简化其子系统的广义状态重构     

一类具有不确定性的相似组合系统的鲁棒输出反馈镇定

讨论受非线性扰动的线性相似子系统经非线性互联而形成的组合大系统（相似组合系统）的鲁棒输出反馈镇定问题,这类相似组合系统可以用结构类似于“砰砰”控制的分散输出反馈控制器鲁棒渐近镇定。     

具有输入饱和的非线性系统的分散输出控制

考虑了一类具有输入饱和的非线性组合大系统的镇定问题。利用李雅普诺夫稳定理论和矩阵理论研究了这类非线性组合大系统的分散输出镇定问题,并给出了一种分散输出镇定控制器的设计。考虑了另一类具有输入饱和的非线性相似组合大系统,由于相似组合系统的结构特点,给出了简洁的分散输出镇定的条件。     

非线性相似组合系统的渐近稳定

本文对一类具有相似性的不确定非线性组合系统设计了鲁棒控制器．对不确定性只要 求一个已知的可能函数界,互联的强度由非减函数限制,减弱了对互联项的要求．我们利用系 统本身的相似性,简化了设计过程．所得控制器保证系统的渐近稳定性．     

具有非线性滞后关联的随机大系统的分散镇定

本文通过利用李雅普诺夫函数和李雅普诺夫矩阵方程的性质，对具有非线性滞后关联的一类随机大系统建立了分散鲁棒镇定的判据，所得闭环随机大系统的和稳定性不依赖于任意实数滞后，并对不确定系数矩阵和随机扰动强度具有鲁棒性。     

非线性时滞大系统的分解及其部分变元的稳定性

本文借助于将一个有向图分解成其强分图等技巧,首次将非线性时滞大系统分解成一个递阶形式,进而得到了若干简洁的关于部分变元稳定、渐定稳定的判据。     

Adaptive fuzzy semi‐decentralized control for a class of large‐scale nonlinear systems with unknown interconnections

In this paper, a general method is developed to generate a stable adaptive fuzzy semi‐decentralized control for a class of large‐scale interconnected nonlinear systems with unknown nonlinear subsystems and unknown nonlinear interconnections. In the developed control algorithms, fuzzy logic systems, using fuzzy basis functions (FBF), are employed to approximate the unknown subsystems and interconnection functions without imposing any constraints or assumptions about the interconnections. The proposed controller consists of primary and auxiliary parts, where both direct and indirect adaptive approaches for the primary control part are aiming to maintain the closed‐loop stability, whereas the auxiliary control part is designed to attenuate the fuzzy approximation errors. By using Lyapunov stability method, the proposed semi‐decentralized adaptive fuzzy control system is proved to be globally stable, with converging tracking errors to a desired performance. Simulation examples are presented to illustrate the effectiveness of the proposed controller. Copyright © 2006 John Wiley & Sons, Ltd.     

Decentralized adaptive stabilization of nonlinear systems

Decentralized adaptive control schemes using the principle of dominant subsystems are presented for time-varying nonlinear dynamic large-scale interconnected systems. Sufficient conditions for the existence of local decentralized adaptive control laws stabilizing a given large-scale system (LSS) are derived in terms of controller parameters for incompletely known composite systems. The approach proposed in this paper is applied to nonlinear stabilizing adaptive decentralized control (ADC) of multimachine power systems. The stability of the multimachine power systems with the ADC is illustrated by the simulation results for a two machine system.     

Composite control of a class of nonlinear singularly perturbed discrete-time systems via D-SDRE

In this paper, the regulation problem of a class of nonlinear singularly perturbed discrete-time systems is investigated. Using the theory of singular perturbations and time scales, the nonlinear system is decoupled into reduced-order slow and fast (boundary layer) subsystems. Then, a composite controller consisting of two sub-controllers for the slow and fast subsystems is developed using the discrete-time state-dependent Riccati equation (D-SDRE). It is proved that the equilibrium point of the original closed-loop system with a composite controller is locally asymptotically stable. Moreover, the region of attraction of the closed-loop system is estimated by using linear matrix inequality. One example is given to illustrate the effectiveness of the results obtained.     

Robust Decentralized Adaptive Fuzzy Control of Large‐Scale Nonaffine Nonlinear Systems With Strong Interconnection and Application to Automated Highway Systems

A novel decentralized adaptive fuzzy controller is developed for a class of large‐scale uncertain nonaffine nonlinear systems in this paper. Incorporating the benefits of fuzzy systems, implicit function theorem, and robust control technique, the interconnections between subsystems are extended to general unknown nonlinear functions. No a priori knowledge of lower and upper bounds on lumped uncertainties is required to implement each local controller. The resulting closed‐loop large‐scale system is proved to be asymptotically stable. The controller design is applicable to an automated highway system and simulation results confirm its practical usefulness.     

在结构与随机扰动下的大系统的稳定性

在本文中,我们给出了在结构与随机扰动下的动态大系统的稳定性分析,建立了这类大系统的依概率吸引性,依概率一致有界性,依概率大范围渐近稳定性,p吸引性,一致p有界性,和大范围渐近p稳定性的结论。这些结论的假设是由孤立子系统和与其联系的李亚普诺夫函数,受扰系统的结构和作用在子系统上的随机扰动表出的。     

Stability analysis of switched delay systems with all subsystems unstable

The stability problem of switched delay systems with all subsystems unstable is investigated in this paper. A sufficient criterion is firstly proposed to guarantee asymptomatic stability of nonlinear switched delay systems with all subsystems unstable, where the stabilization property of switching behaviors is exploited to compensate the divergence of states. Then by constructing multiple discretized Lyapunov-Krasovskii functionals, stability criteria are developed for linear switched time-invariant and time-varying delay systems with all subsystems unstable. Finally, two examples are provided to illustrate the feasibility, superiority and application of the proposed approach.