Robust Absolute Stability of General Interval Lur''''e Type Nonlinear Control Systems

1. INTanDUCTIONIt is wellknown that the absolute stability problem for Lur'e type noIilinear control systems has been studiedby many researchers (NarendIa and Taylor 1993, Zhao 1993, Xiong 1995, Haddad 1995, Park 1998). Grujic andPetkovski (1987) and Tsypkin et al. (1993) gave robust circle criterion and robust popov criterion for absolutestability of Lur'e system. Tesi aJnd Vicino (1991), Dahleh, et al. (1993), Mori, et a1. (1995), Wada, et al. (1996,1998) investigated the parametri…     

不确定时滞系统多目标约束下的满意容错控制

针对一类具有不确定参数、干扰输入和时滞特性的非线性系统,研究了当执行器发生故障时的满意容错控制问题。在更实际、更一般的执行器连续增益故障模型下,采用一种含有时滞记忆的状态反馈控制律,分析了鲁棒稳定性能与H∞指标的相容性,并在相容指标约束下,给出了鲁棒H∞满意容错控制器存在的充分条件和设计方法。仿真算例验证了该方法的有效性。     

具有不确定性和非线性扰动的时滞关联大系统的鲁棒稳定性条件

利用Lyapunov函数方法和M-矩阵特性,重点讨论了一类具有不确定性和非线性扰动的时滞关联大系统的鲁棒稳定性,导出了此类系统时滞无关稳定性条件,改进和推广了现有文献的结论.     

ABSOLUTE STABILITY OF GENERAL LURIE DISCRETE NONLINEAR CONTROL SYSTEMS

1 IntroductionUp to now, there are many results about abso1ute stability for Lurie discrete controlsystems{'--'l. Some sufficient conditions and necessary and sufficient conditions of absolutestability are obtained. But there are a few resuIts about gener…     

White noise estimation for discrete-time systems with random delay and packet dropout

This paper is concerned with the optimal and suboptimal deconvolution problems for discrete-time systems with random delayed observations. When the random delay is known online, i.e., time stamped, the random delayed system is reconstructed as an equivalent delay-free one by using measurement reorganization technique, and then an optimal input white noise estimator is presented based on the stochastic Kahnan filtering theory. However, tb_e optimal white-noise estimator is timevarying, stochastic, and doesn＇t converge to a steady state in general. Then an alternative suboptimal input white-noise estimator with deterministic gains is developed under a new criteria. The estimator gain and its respective error covariance-matrix information are derived based on a new suboptimal state estimator. It can be shown that the suboptimal input white-noise estimator converges to a steady-state one under appropriate assumptions.     

分段广义正交多项式算子法的非线性系统分析

首先对文献[7]提出的分段广义正交多项式算子(简记为PGOPO)的主要运算规则进行了概括和总结,特别是推导出了非线性函数的PGOPO递推计算公式;其次对一般非线性系统PGOPO算子解及解的收敛性问题进行了分析、研究,证明了PGOPO算子解将收敛于其精确解;最后采用PGOPO算子法对一类含时延的非线性系统进行了分析,并推导出便于使用的递推求解算法.给出的数值算例论证了该算法的有效性.     

The Learning Control and Learning Adaptive Control of General Nonlinear Systems：MIMO Case

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Bayesian estimation for nonlinear stochastic hybrid systems with state dependent transitions

The Bayesian approach is considered as the most general formulation of the state estimation for dynamic systems.However,most of the existing Bayesian estimators of stochastic hybrid systems only focus on the Markov jump system,few literature is related to the estimation problem of nonlinear stochastic hybrid systems with state dependent transitions.According to this problem,a new methodology which relaxes quite a restrictive assumption that the mode transition process must satisfy Markov properties is proposed.In this method,a general approach is presented to model the state dependent transitions,the state and output spaces are discreted into cell space which handles the nonlinearities and computationally intensive problem offline.Then maximum a posterior estimation is obtained by using the Bayesian theory.The efficacy of the estimator is illustrated by a simulated example.     

The Similar Structures and Control Problems of Complex Systems

1 Introduction1 We consider the naturally evolving complex systems, such as biotic and social systems. In their evolving process, they always make up their weaknesses and develop their favorable factors. In such a way, their structures are gradually formed. In the structures of these systems, a feature is noteworthy, i.e., the local(partial) structure is similar to the global(overall). For social systems, for instance, in a country, the management organization of a province is similar to tha…     

Decentralized adaptive fuzzy control of time-delayed interconnected systems with unknown backlash-like hysteresis

The problem of decentralized adaptive fuzzy control for a class of time-delayed interconnected nonlinear systems with unknown backlash-like hystersis is discussed. On the basis of the principle of variable structure control （VSC） and by using the fuzzy systems with linear adjustable parameters that are used to approximate plant unknown functions, a novel decentralized adaptive fuzzy control strategy with a supervisory controller is developed. A general method, which is modeled the backlash-like hysteresis, is proposed and removes the assumption that the boundedness of disturbance, and the slope of the backlash-like hystersis are known constants. Furthermore, the interconnection term is supposed to be pth-order polynomial in time-delayed states. In addition, the plant dynamic uncertainty and modeling errors are adaptively compensated by adjusting the parameters and gains on-line for each subsystems. By theoretical analysis, it is shown that the closed-loop fuzzy control systems are globally stable, with tracking error converging to zero. Simulation results demonstrate the effectiveness of the approach.     

A maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations

Based on the homotopy analysis method,a general analytic technique for strongly nonlinear problems,a Maple package of automated derivation(ADHO) for periodic nonlinear oscillation systems is presented.This Maple package is valid for periodic oscillation systems in rather general,and can automatically deliver the accurate approximations of the frequency ui and the mean of motion 5 of a nonlinear periodic oscillator.Based on the homotopy analysis method which is valid even for highly nonlinear problems,this Maple package can give accurate approximate expressions even for nonlinear oscillation systems with strong nonlinearity.Besides,the package is user-friendly:One just needs to input a governing equation and initial conditions,and then gets satisfied analytic approximations in few seconds.Several different types of examples are given in this paper to illustrate the validity of this Maple package.Such kind of package provides us a helpful and easy-to-use tool in science and engineering to analyze periodic nonlinear oscillations.And it is free to download the electronic version of this Maple package from the address "http://numericaltank.sjtu.edu.cn/sjliao.htm" once the paper is published publicly.     

MINIMAL INVERSION AND ITS ALGORITHMS OF DISCRETE-TIME NONLINEAR SYSTEMS

The left-inverse system with minimal order and its algorithms of discrete-time nonlinear systems are studied in a linear algebraic framework. The general structure of left-inverse system is described and computed in symbolic algorithm. Two algorithms are given for constructing left-inverse systems with minimal order.     

多被动传感器UKF与EKF算法的应用与比较

针对多被动传感器条件下的目标跟踪问题,给出了推广卡尔曼滤波在多被动传感器条件下的具体算法;考虑到多被动传感器目标跟踪需要解决观测非线性的问题,故而将用于非线性系统的基于UT变换的UKF算法应用于所讨论的跟踪问题中,采用检测融合方案,将多个被动传感器的角度观测组合成量测向量,推导了多被动传感器的UKF滤波算法,实现了对目标在三维空间中的全被动跟踪.将两种算法进行了仿真比较,结果表明,采用多被动传感器的UKF算法可以获得比传统的推广卡尔曼滤波算法更为精确的跟踪效果.     

Robust estimation algorithm for multiple-structural data

This paper proposes a robust method of parameter estimation and data classification for multiple-structural data based on the linear error in variable (EIV) model. The traditional EIV model fitting problem is analyzed and a robust growing algorithm is developed to extract the underlying linear structure of the observed data. Under the structural density assumption, the C-steptechnique borrowed from the Rousseeuw's robust MCD estimator is used to keep the algorithm robust and the mean-shift algorithm is adopted to ensure a good initialization. To eliminate the model ambiguities of the multiple-structural data, statistical hypotheses tests are used to refine the data classification and improve the accuracy of the model parameter estimation. Experiments show that the efficiency and robustness of the proposed algorithm.     

Classical Theory of Advance of Perihelion of Mercury with Velocity Dependent Inertial and Gravitational Masses

ThefascinationexertedonmanybrilliantphysicistsofourtimebyEinstein,stheoryofgeneralrelativityiscausedmainlybytworeasons:l)ThetheoryisabletoexplainthesecularmotionofMercury,sperihelionandgivesforitavalueof43.2"perhundredyears,whichisinsplendidaccordancewiththecorrespondingvalueascertainedbytheastronomers.2)ThetheoryPredictsadeflectionofstarlightbytheSun,givingadeviationofaboutl.72"fromthestraightline,whichisobserved,too.Furthermore,thereexistsuntilnownoothertheory,whichcanexplainthesetwoeffect…     

鲁棒非线性观测器的圆判据设计

研究了一类非线性系统的观测器设计方法,其中假定观测误差系统中的非线性部分满足一般的扇区条件。根据多变量圆判据设计方法和严格正实条件,获得了全局收敛的非线性观测器,并且进一步提出系统结构满足扇区条件的判别定理。利用输入-状态稳定性工具,分析了该非线性观测器的鲁棒性。通过实例和仿真说明这种非线性观测器的有效性。     

A High-Order Fully Actuated System Approach for a Class of Nonlinear Systems

This paper utilizes the high-order fully actuated (HOFA) system approach to synthesize a class of nonlinear systems. First, the original nonlinear system can be rewritten in a quasi-linear form, which is more general than other nonlinear systems, such as strict-feedback systems. Based on a rank condition, the quasi-linear system can be transformed into a canonical form. Second, a simple transformation is adopted to convert the above canonical form into the HOFA model. Once an HOFA model is derived, the authors design a controller to make the closed-loop system a constant linear system with the desired eigenstructure. Finally, a numerical example illustrates the fitness and effectiveness of the proposed approach.

     

Cluster-Delay Consensus for Second-Order Nonlinear Multi-agent Systems

This paper investigates the second-order nonlinear multi-agent systems subject to the cluster-delay consensus. The multi-agent systems consist of leader and agents, whose dynamics are second-order nonlinear. The objective is that the agents track the leader asymptotically with different time delays, i.e., the agents in different groups reach delay consensus, while the agents in the same group reach identical consensus. To guarantee the cluster-delay consensus for the second-order multi-agent systems, a new control protocol is proposed. Then some corresponding conditions for cluster-delay consensus are derived by using Lyapunov directed method and matrix theory. Finally, the effectiveness of the theoretical analysis results are verified by some numerical simulations.     

非线性中立型控制系统的鲁棒稳定与鲁棒镇定

研究了一类不确定性的非线性中立型动态系统,系统具有多重时不变状态时滞。其不确定性满足范数有界条件。采用LyapunovV泛函的方法。建立了一类Lyapunov泛函。通过对控制系统(B,D,C)的分析,得出只要矩阵对(B,D)是完全可控的,或者是可稳定的,则在相应的条件下便得出相应的非线性中立型动态控制系统及滞后型动态系统可镇定的充分条件。建立了非线性中立型微分系统的时滞无关的渐近稳定性判别条件,以及非线性中立型动态控制系统的时滞无关鲁棒镇定的判据。同时,给出了相应的非线性滞后微分系统的时滞无关鲁棒稳定性的判据,以及非线性滞后动态控制系统的时滞无关鲁棒镇定性的代数判据。     

矿井优化设计预处理的混合专家系统

介绍了一种用于矿井方案优化设计预处理的混合专家系统——基于神经网络与规则推理的专家系统；阐述了该混合专家系统的基本结构及实现过程，提出输出向量的模糊分类；此外，简要介绍了该系统的实际应用。