Observer design for matrix second order linear systems with uncertain disturbance input-a parametric approach

1. INTRODUCTION Matrix second-order linear (MSOL) systems capture the dynamic behavior of many natural phenomena and have wide applications in several fields, such as vibration and structural analysis, spacecraft control and robotics control thus, they have attracted consider- able attention[1~10]. In Ref. [3], the controllability and observability theory of MSOL systems was studied directly in the matrix second-order framework. One type of observers for MSOL systems was proposed in …     

HF radar sea clutter rejection by nonlinear projections

1.INTRODUCTION Utilizingverticalpolarizedelectromagneticwavethat canfollowthecurvatureoftheearthalongtheair wa terinterfacewithlowpropagationlossonhighlycon ductiveoceansurface,highfrequencyground wave radar(HFGWR)isdesignedtodetectandtracktar getsbeyondthehorizonsuchasvesselsovertheseaor aircraftsatlowaltitude.Thereforemoreandmore countriesdevotemuchenergytodevelopHFGWRin recentyears.However,HFGWRhascontinuedtobe seriouslylimitedbyahighthresholdofdetectionin seaclutter.Dominatingth…     

一类非线性互联大系统的近似最优扰动抑制

研究一类受外界扰动非线性互联动态大系统的最优扰动抑制问题。根据有限时域二次型性能指标,提出了一种基于逐次逼近思想的大系统近似最优扰动抑制方法。利用该方法将由原系统得到的高阶耦合的非线性两点边值问题简化为一族解耦的线性两点边值问题序列。证明了该序列的解一致收敛于原非线性互联大系统的最优控制。通过截取最优控制序列的有限次逼近值,可以得到非线性互联大系统近似最优扰动抑制控制律。最后通过数值仿真表明了该方法的有效性。     

Backstepping tracking control for nonlinear time-delay systems

1. INTRODUCTION The presence of time delay has a significant effect on system performance and destroys the stability of closed-loop system[1]. Therefore, the study on time-delay systems has important practical significance. Recen- tly,considerable progress has been made in this field[1~10]. According to the dependency of the designed contr-oller depends on the time delay, the control approa-ches for time-delay systems can be classified into two categories: delay-dependent[2~3,10] and dela…     

连续时间标量(超)混沌信号同步控制的Backstepping方法

将非线性控制系统微分几何理论与Backstepping方法相结合,在一定的假设前提下,给出了一种实现非线性混沌或超混沌系统的标量输出同步于连续时间标量(超)混沌信号的非线性反馈控制器的系统设计过程。连续时间(超)混沌系统的标量输出在控制器的控制下,能够大范围渐近同步于任意给定的(超)混沌参考信号。计算机仿真结果证实了控制器的有效性。     

欠控制方向非线性系统的鲁棒自适应控制

针对一类控制方向未知且具有未建模动态的非线性系统,提出了一种鲁棒自适应控制策略.算法推广了已有的鲁棒自适应非线性控制方法.控制算法保证闭环系统所有信号是一致终值有界的.同时,通过调整控制器设计参数,闭环系统能够实现期望的性能要求.仿真结果进一步说明了理论分析的有效性.     

一类非线性系统的多故障检测方法研究

针对一类非线性系统,提出了一种基于最优滤波的多故障检测观测器设计方法。引入神经网络逼近系统非线性部分,由Lyapunov稳定性理论设计神经网络权值调整规则.采用对等空间方法设计最优滤波矩阵滤除干扰故障噪声,从而对目标故障进行检测和跟踪。仿真结果验证了该方法的正确性和可行性。     

基于T-S模型的非线性系统离散时间滑模控制

基于T-S模糊模型,讨论了一类非线性离散时间系统的控制问题。采用T-S模糊模型来描述非线性系统的动态模型,再将非线性系统的全局T-S模糊模型转化为线性不确定系统的模型。这样复杂的非线性系统的稳定问题就转化为线性不确定系统的鲁棒镇定问题。采用离散时间滑模控制方法实现线性不确定系统的鲁棒镇定。利用用线性矩阵不等式技术设计稳定的滑动模面,以降低非匹配不确定对系统的影响。给出了线性矩阵不等式形式的稳定滑动模面存在的充分条件。此外还给出了滑模控制律的设计方法。所给设计方法可保证系统鲁棒镇定,并且在滑动模面附近的抖振可明显减弱。最后,给出了truck-trailer的仿真算例,证明了所给方法的可行性和有效性。     

考虑轨迹安全的超快速交会逼近策略与控制

研究了考虑航天器交会逼近轨迹安全的超快速逼近策略和轨道控制方法。在超快速逼近方面,为了解决超快速逼近和轨迹被动安全的矛盾,提出瞄准偏置点概念。交会逼近时追踪航天器先以被动安全速度向瞄准偏置点快速逼近,再由瞄准偏置点向终端瞄准点逼近。在轨道控制方面,将超快速逼近过程中分别设计解耦后三通道的模糊控制器,对轨道各方向进行独立控制。仿真结果表明,在保证交会逼近过程安全性和逼近终端精度的前提下,文中方法不仅可以适应初始速度较大约束,而且可将交会逼近时间减少为传统逼近方法的20%。     

基于分级网络的供求系统防护资源分配方法

供求系统防护资源分配问题旨在制定合理的防护策略,以减小外界破坏带来的损失。对于基于中位模型的供求系统来说,一类经典的防护资源分配方法是建立并求解双层规划模型,进而得到防护策略。双层主从规划问题是个典型的NP难解问题,因此这类方法不易有效地对大规模案例进行求解。通过分析供求网络运行机制,发现导致防护资源分配问题求解困难的关键因素是再分配环节。故基于该环节建立了供求系统的分级网络框架,在该框架下提出一种防护资源分配方法。实验证明,该方法能够给出合理的防护资源分配策略,且与传统方法相比耗时显著缩短。     

直觉模糊框架内的区间证据组合方法研究

区间证据的组合是区间证据理论中的核心问题之一,尽管相关学者试图将D-S证据理论中的证据组合规则进行推广以实现区间证据的组合,但该问题仍未得到完全解决.目前已有的组合方法都是基于优化模型来确定融合结果中各基本概率质量(BPM)的上下界,不仅算法复杂度较高,而且这类方法不满足结合律,对多个区间证据进行组合时不能依次对各个证据进行组合,难以满足时域信息融合的需求.本文基于直觉模糊集与证据理论之间的关系,在直觉模糊框架内对区间证据的组合问题进行研究.首先基于证据理论定义一种新的直觉模糊运算,通过区间证据与直觉模糊集之间的相互转换,提出一种基于直觉模糊集的区间证据组合方法,该方法满足交换律和结合律,对多个区间证据进行组合时具有较强的灵活性.数值仿真表明,基于直觉模糊集的区间证据组合方法可以获得合理的组合结果,而且算法复杂度远低于现有方法.     

COMPARISON OF MAX—MIN APPROACH AND NN METHOD FOR RELIABILITY OPTIMIZATION OF SERIES—PARALLEL SYSTEM

Two heuristics, the max-min approach and the Nakagawa and Nakashima method, are consideredfor the redundancy allocation problem with series-parallel structure. The max-min approach canformulate the problem as an integer linear programming problem instead of an integer nonlinearproblem. This paper presents a comparison between those methods from the standpoint of solutionquality and computational complexity. The experimental results show that the max-min approach issuperior to the Nakagawa and Nakashima method in terms of solution quality in small-scale problems,but analysis of computational complexity shows that the max-min approach is inferior to other greedyheuristics.     

Small sample Bayesian analyses in assessment of weapon performance

Abundant test data are required in assessment of weapon performance.When weapon test data are insufficient,Bayesian analyses in small sample circumstance should be considered and the test data should be provided by simulations.The several Bayesian approaches are discussed and some limitations are founded.An improvement is put forward after limitations of Bayesian approaches available are analyzed and t he improved approach is applied to assessment of some new weapon performance.     

一类非线性系统观测器设计的新方法

研究一类非线性系统的观测器设计问题。应用微分中值定理转化误差动态系统为等价系统。使用凸理论并结合构造Lyapunov函数,给出非线性误差动态渐近趋于零的三个充分条件,并提出观测器增益矩阵的构造方法。提出的方法既能用于连续非线性系统,也可用于离散非线性系统。最后,通过一个数值例子验证了所得结果的有效性。     

基于神经状态空间的非线性系统建模研究

提出了一种基于神经状态空间的非线性系统建模方法.神经状态空间(NNSP)具有系统的拟线性特性,许多线性系统控制器设计方法均可以扩展到NNSP模型.本文采用了增广卡尔曼滤波方法进行神经状态空间的参数辨识,高阶校验模型用于验证非线性系统神经状态空间的模型的有效性.将本法应用于典型的化学过程的建模,结果表明本方法正确有效.     

Robust fault diagnosis with disturbance rejection and attenuation for systems with multiple disturbances

The fault diagnosis problem is investigated for a class of nonlinear neutral systems with multiple disturbances.Time-varying faults are considered and multiple disturbances are supposed to include the unknown disturbance modeled by an exo-system and norm bounded uncertain disturbance.A nonlinear disturbance observer is designed to estimate the modeled disturbance.Then,the fault diagnosis observer is constructed by integrating disturbance observer with disturbance attenuation and rejection performances.The augmented Lyapunov functional approach,which involves the tuning parameter and slack variable,is applied to make the solution of inequality more flexible.Finally,applications for a two-link robotic manipulator system are given to show the efficiency of the proposed approach.     

混沌系统基于T-S模糊模型的控制方法

将模糊控制技术应用于混沌控制中，可以克服反馈线性化等传统方法对参数完全精确已知的限制；用T-S模糊系统来逼近非线性系统，它的IF-THEN规则后件由线性状态空间子系统构成，进而可以应用模糊系统的控制理论求得模糊控制器，用此非线性控制器来控制非线性系统，以求良好的控制效果；模糊规则后件部分以局部线性方程形式给出的T-S模糊模型可以通过调整相关参数很好地逼近混沌系统，基于该模型采用平行分散补偿技术设计出具有相同规则数目的模糊控制器，控制器所有参数可以通过求解一组线性矩阵不等式一次性得到。仿真结果验证了该方法的有效性。     

Adaptive Numerical Approach for Optimal Control of a Single Train

This paper considers the optimal control problem of a single train, which is formulated as an optimal control problem of nonlinear systems with switching controller. The switching sequence and the switching time are decision variables to be chosen optimally. Generally speaking, it is very difficult to solve this problem analytically due to its nonlinear nature, the complexity of the controller,and the existence of system state and control input constraints. To obtain the numerical solution, by introducing binary functions for every value of the control input, relaxing the binary functions, and imposing a penalty function on the relaxation, the problem is transformed into a parameter optimization problem, which can be efficiently solved by using any gradient-based numerical approach. Then, the authors propose an adaptive numerical approach to solve this problem. Convergence results indicate that any optimal solution of the parameter optimization problem is also an optimal solution of the original problem. Finally, an optimal control problem of a single train illustrates that the adaptive numerical approach proposed by us is less time-consuming and obtains a better cost function value than the existing approaches.     

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.

     

一类时滞系统的模糊跟踪控制及其仿真

研究了一种基于模糊T-S模型的非线性时滞系统模糊跟踪控制问题。首先利用模糊T-S模型对不确定非线性系统进行模糊建模,然后在此基础上研究了模糊系统在状态可测与不可测的情况下的模糊跟踪问题。控制器的设计避开了复杂的精确反馈线性化与自适应方法。采用本方法,可将控制器的设计问题转化为求解线性矩阵不等式问题,再利用凸优化技术可将其有效地解决。因此该方法既简单又实用,并且通过仿真实例说明了它的有效性与正确性。