On Robust Stability of a Class of Uncertain Nonlinear Systems with Time—Varying Delay

The problem of robust stability of a class of uncertain nonlinear dynamical systems with time-delay is considered. Based on the assumption that the nominal system is stable, some sufficient conditions on robust stability of uncertain nonlinear dynamical systems with time-delay are derived. Some analytical methods and a type of Lyapunov functional are used to investigate such sufficient conditions. The results obtained in this paper are applicable to perturbed time-delay systems with unbounded time-varying delay. Some previous results are improved and a numerical example is given to demonstrate the validity of our results.     

Robust Feedback Controller for Exponential Stability of Nonlinear Systems with Mismatched Uncertainties

The robust stabilization of nonlinear systems with mismatched uncertainties is investigated. Based on the stability of the nominal system, a new approach to synthesizing a class of continuous state feedback controllers for uncertain nonlinear dynamical systems is proposed. By such feedback controllers, the exponential stability of uncertain nonlinear dynamical systems can be guaranteed. The approach can give a clear insight to system analysis. An illustrative example is given to demonstrate the utilization of the approach developed. Simulation results show that the method presented is practical and effective.     

A Kind of Robust Controller of Parametric-strict-feedback Form for Nonlinear Systems

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Finite-Dimensional Robust Compensator for a Class of Uncertain Distrbuted Parameter Systems with Del

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A Novel Robust Adaptive Fuzzy Controller

For a class of continuous-time nonlinear system, a novel robust adaptive fuzzy controller is proposed by using of Lyapunov method. It is proven that the control algorithm is globally stable, the output tracking-error can convergence to a domain of zero under the assumptions. As a result, the system controlled has stronger robustness for disturbance and modeling error.     

Robust H∞ controller design for a class of nonlinear fuzzy time-delay systems

The problem of fuzzy modeling for state and input time-delays systems with a class of nonlinear uncertainties by fuzzy T-S model is addressed. By using the linear matrix inequality (LMI) method, the problem of fuzzy robust H∞ controller design for the system is studied. Assuming that the nonlinear uncertain functions in the model considered are gain-bounded, a sufficient condition for the robustly asymptotic stability of the closed-loop system is obtained via Lyapunov stability theory. By solving the LMI, a feedback control law which guarantees the robustly asymptotic stability of the closed-loop system is constructed and the effect of the disturbance input on the controlled output is ruduced to a prescribed level.     

A Combination Method of SVD And Neuro－Controller for Identifying Uncertain Systems

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Robust H∞ control for a class of nonlinear singular system with uncertain parameters

The static output feedback H∞ control is explored for a class of nonlinear singular system with norm-bounded uncertainty. On certain suppose, the zero solution asymptotically stability is analyzed by means of Lyapunov function and Lyapunov stability theory. Based on which, a sufficient condition is presented such that the system is zero solution asymptotically stable and has H∞ norm constraint γ. Then, the static output feedback H∞ controller is designed to guarantee the resulting closed-loop system has the same performance. Finally, an example proves the effectiveness of the conclusion.     

An Approximate Algorithm for a Class of Nonlinear Bilevel Integer Programming

The algorithm for a class of nonlinear bilevel integer programming is discussed in this paper. It is based on the theory and algorithm for nonlinear integer programming. The continuity methods for integer programming are studied in this paper. After simulated annealing algorithm is applied to the upper-level programming problem and the thought of filled function method for continuous global optimization is applied to the corresponding lower-level programming, an approximate algorithm is established. The satisfactory algorithm is elaborated in the following example.     

Strong Convergence Rate of Parameter Estimation for a Class of Stochastic Systems

In this paper we obtain the convergence rate of strongly consistent estimate for coefficients of closed-loop ARMAX system driven by iid random sequence, after adaptively stabilizing the system without introducing external excitation signal. The system is allowed to be unstable and of nonminimum-phase.     

一类不确定非线性系统的鲁棒输出跟踪控制器

研究了一类不确定非线性系统的鲁棒输出跟踪问题 ,目的是在未满足不确定性匹配条件的情况下设计精确跟踪参考轨迹的状态反馈控制器。为了补偿不确定性 ,将鲁棒输出跟踪控制器的设计问题转化为最优控制器的设计问题。证明了鲁棒输出跟踪问题的解可通过最优控制的解而得到 ,通过仿真说明了这种设计方法是行之有效的。     

基于T-S模糊模型的鲁棒故障诊断

针对T-S模糊模型描述的具有外部干扰的非线性不确定系统,构造了相应的测量冗余方程和模糊奇偶方程,给出并证明了对特定传感器和执行器故障敏感的最优奇偶向量的存在条件和求解定理,采用奇偶方程故障检测与诊断方法,研究了非线性不确定系统的鲁棒故障检测和诊断.最后,通过仿真示例说明了所提出的方法是有效的.     

一类非线性系统的鲁棒自适应控制

针对一类含有不确定参数和未知扰动的非线性系统，提出一种鲁棒自适应控制方法以确保系统输出稳定地精确跟踪给定的参考信号。控制器的设计分两步进行：首先，在不考虑扰动的情况下，采用一种基于参数映射的Lyapunov设计方法设计系统参数自适应控制器；然后，在该自适应控制器的基础上，采用衰减控制策略设计鲁棒补偿器，实现对扰动的抑制。最后通过数字仿真验证了设计方案的有效性。     

基于LMI的不确定混沌系统的模糊输出反馈控制

研究了基于T-S模糊模型描述的不确定混沌系统的静态输出反馈鲁棒控制问题，给出一种新的模糊静态输出反馈控制器设计方法。该方法充分考虑了模糊子系统间的相互作用，静态输出反馈控制器可通过求解一组线性矩阵不等式(LMI)获得。为说明问题，给出了Chen混沌系统模糊静态输出反馈控制设计和仿真结果。     

STABILIZATION FOR A CLASS OF LARGE-SCALE STOCHASTIC NONLINEAR SYSTEMS WITH DECENTRALIZED CONTROLLER DESIGN

In this paper, a state feedback adaptive stabilization for a class of large-scale stochastic nonlinear systems is designed with Lyapunov and Backstepping method. In the systems there are uncertain terms, whose bounds are governed by a set of unknown parameters. The designed controllers would make the close-loop systems asymptotically stable and adaptive for the unknown parameters. As an application, a second order example is delivered to illustrate the approach.     

Adaptive Robust Control for A Class of Nonlinear Systems with Unknown Uncertainties

CONTROL THEORY AND APPLICATION1. INTRODUCTIOnThe practical systems inevitably contain some kinds of uncertain elements. With the existence of uncertainties,the performance of systems may be changed, even may cause the systems stableless. Under such imperfectknowledge of the model, controllers are tried to design so that the controlled system has certain satisfactoryproperties. In the past, robust controller design generally hinges on three main assumptions: 1) the systemstate ve…     

基于遗传算法的一类不确定性扰动下的系统参数估计

对于线性系统，本文针对其系统矩阵A存在一类不确定性扰动的情况，提出了一种基于遗传算法（GA）的新的参数估计方法。同基于线性矩阵不等式（LMI）的参数估计方法相比，这种方法求解速度快，更适合于高维系统参数估计，为改进仪表测量误差对高维系统建模精度带来的影响提供了一条可行的途径。仿真实验表明，本文提出的方法具有高度鲁棒性和很好精度，能有效地消除不确定性扰动对系统精度的影响。     

不确定非线性时滞系统的鲁棒可靠控制

研究一类不确定非线性时滞系统的状态反馈鲁棒可靠控制问题。系统包含状态时滞、控制输入时滞、参数不确定性和未知的非线性扰动。目的是设计线性无记忆状态反馈控制器 ,使得对于任意容许的不确定性以及在一个预先指定的执行器子集合中执行器的失效 ,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给结果的有效性