A Robust Output—Feedback Controller for a Class of Uncertain Nonlinear Systems

1　IntroductionRecently,the nonlinear output- feedback control problems are solved successfully by usingbackstepping for a class of nonlinear systems. The partialstate feedback control problemsolved in Jiang and Praly,1996 is more general than the output- feedback control problem.However,the assumptions made in the paper are too restrictive which does not only re-quire the existence of c,γ andψ1 to be ascertained a priori,but also require them to beknown for an unknown system. If c,γ can n…     

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

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A Projection-Programming Method of Combination Weighting

This paper proposes a projection programming method of combination weighting. The method combines subjective weights and objective weights, and derives the weights of attributes by solving a projection-programming model. The method is simple, practical and easy to implement on computer. A numerical example is also given.     

Disturbance Attenuation State-Feedback Control for Uncertain Interconnected Systems

This paper studies the problem of robust H∞ control design for a class of uncertain interconnected systems via state feedback. This class of systems are described by a state space model, which contains unknown nonlinear interaction and time-varying norm-bounded parametric uncertainties in state equation. Using the Riccati-equation-based approach we design state feedback control laws, which guarantee the decentralized stability with disturbance attenuation for the interconnected uncertain systems. A simple example of an interconnected uncertain linear system is presented to illustrate the results.     

Combination Method for Parallel Computation in ODEs

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A New Method with High Confidence for Validation of Computer Simulation Models of Flight Systems

Computer simulation models may by used to gain further information about missile performance variability. Model validation is an important aspect of the test program for a missile system. Validation provides a basis for confidence in the model's results and is a necessary step if the model is to be used to draw inference about the behavior of the real missile. This paper is a review of methods useful for validation of computer simulation models of missile systems and provides a new method with high degree of confidence for validation of computer simulation models of missile systems. Some examples of the use of the new method in validating computer simulation models are given.     

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.     

On PID Control Theory for Nonaffine Uncertain Stochastic Systems

PID(proportional-integral-derivative) control is recognized to be the most widely and successfully employed control strategy by far. However, there are limited theoretical investigations explaining the rationale why PID can work so well when dealing with nonlinear uncertain systems.This paper continues the previous researches towards establishing a theoretical foundation of PID control, by studying the regulation problem of PID control for nonaffine uncertain nonlinear stochastic systems. To be ...     

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

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《Journal of Systems Science And Systems Engineering》 Contents of Volume 15,2006

Number 1, MarchEditorial 1Robust Design Models for Customer-Specified Bounds on Process ParametersSANGMUN SHIN, BYUNG RAE CHO 2Increasing Returns to Scale, Dynamics of Industrial Structure and Size Distribution of FirmsYING FAN, MENGHUI LI, ZENGRU DI 19Health Consumer Diversity and Its ImplicationsLARS EDGREN 34Benchmarking On-Line Services Industries JOHN HAMILTON 48Merging Fuzzy Statistical Data with Imprecise Prior InformationOLGIERD HRYNIEWICZ…     

利用小波变换与SVD识别振动系统模态频率

针对从受噪声污染的脉冲响应信号和快速正弦扫频响应信号中识别振动系统的单模态和多模态的频率问题,将小波变换与奇异值分解(SVD)相结合,利用基于小波变换的能量分布函数,进行奇异值分解后,根据最大奇异值,求出主分量,然后通过主分量对应的尺度图或频率计算公式,识别出模态的频率。仿真结果证明了该方法的有效性和可行性。     

基于神经网络的非线性系统的间接自适应控制

针对一类不确定非线性动态系统 ,利用多层神经网络系统MNNs的逼近能力 ,提出了一种间接鲁棒自适应神经网络控制器的设计方案。该方案不仅能够保证闭环系统的所有信号有界 ,而且理论分析证明了闭环系统的跟踪误差渐近收敛到零。仿真试验表明本控制算法是有效的。     

A Fuzzy-Neural Network Control of Nonlinear Dynamic Systems

1.INTRODUCTIONInrealfile,therearemanyprocessesthataretoocomplex,highlynonlinear,uncertaininparametersanddisturbances,itissodifficulttogettheaccuratemathematicalmodel-basedtraditionalcontroldesignmethodologiescannotbeemployedeffectively,fuzzylogicandneuralnetworkprovideeffectiveapproachfordealingwiththeuncertaintyandnonlinearity,andhavebeenappliedtotherealmofmodeling,identificationandcontrolofnonlinearsystemsinrecentyears[1-4].Aclassofneuralnetworks,thefeed-forwardnetworks,havebeenproventob…     

不确定T-S模糊广义系统基于观测器的无源控制

针对一类范数有界不确定性T-S模糊广义系统,研究了其在满足不确定性的基于观测器的无源控制器的设计问题.在状态不可测的情况下给出了使得闭环系统广义二次稳定且无源的基于观测器的控制器存在的充分条件和设计方法.通过求解若干线性矩阵不等式,获得系统的观测增益与控制增益.最后通过数值仿真例子,说明所提出的设计方法可行、有效.     

数值界不确定关联大系统的分散鲁棒容错控制

研究一类关联大系统的分散鲁棒容错控制问题.系统中不确定项具有数值界,利用向量Lyapunov函数方法及线性矩阵不等式LMI方法推导了此类系统在传感器失效情况下鲁棒稳定的充分条件,通过求解线性矩阵不等式LMI获得控制器.仿真实例说明了该方法的有效性.     

不确定非线性系统的模糊保性能容错控制

针对一类具有范数有界参数不确定性的非线性系统和一个二次型性能指标,提出了在执行器故障时保性能控制器的设计方法。采用线性矩阵不等式的方法,得出了系统在执行器故障时保性能控制律存在的充分条件,使系统对允许的不确定性具有鲁棒性,并达到一定的性能指标。仿真结果表明该方法的有效性。     

用神经网络方法进行模糊划分设计

从避免人工干预的思想出发，提出了一种基于结构自调整神经网络的模糊划分算法。与传统的模糊划分方法相比，该方法具有更强的适应性。最后，以一个例子例证了该方法     

具有控制约束的不确定离散时滞系统最优保性能控制

对一类具有范数有界时变参数不确定性和控制输入约束的离散时滞系统,研究其最优保性能状态反馈控制律的设计问题.基于线性矩阵不等式处理方法,导出了保性能控制律存在的条件,并证明了该条件等价于一组线性矩阵不等式的可行性问题,并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示.进而,通过建立并求解一个凸优化问题,给出了具有控制约束的最优保性能控制律设计方法.     

基于T-S模糊模型的离散不确定时滞系统的容错控制

研究了一类离散不确定时滞模糊系统的容错控制问题。针对非线性离散系统，构造T-S模型，引入参数不确定项和时滞项，使得模糊模型能够更精确逼近原系统。基于T-S模糊模型，利用Lyapunov方法，证明了所采用的模糊控制律使得闭环模糊系统对于执行器故障以及传赢器故障具有完整性和鲁樟挂。不确定项具有范数有界时，利用求解线性矩阵不等式（LMI）的方法，得出了闭环模糊系统在执行器故障以及传意器故障时具有完整性的充分条件。仿真结果说明了该方法的有效性。     

一类线性时滞系统的时滞依赖稳定性研究

针对一类带有参数不确定性的线性时滞系统,研究其时滞依赖稳定性问题。采用改进的Lyapunov-Krasovskii泛函方法给出了线性时滞系统基于线性矩阵不等式的时滞依赖稳定的充分条件,在定理的证明中结合牛顿公式改进了一系列二次型积分不等式,从而有效降低了定理保守性。最后给出2个计算实例,通过与现有方法的比较可以看出本文方法的更加有效,且得到的最大时滞具有更小的保守性。