广义线性系统鲁棒极点配置分离原理

针对广义线性系统,提出了基于全维观测器的控制系统设计的鲁棒极点配置分离原理。基于矩阵灵敏度理论证明了如下事实:与状态反馈系统相同的闭环系统极点具有和状态反馈系统极点相同的极点灵敏度。与观测器系统相同的闭环系统极点具有和观测器系统极点相同的极点灵敏度。于是全维观测器的状态反馈控制器中具有最小灵敏度的鲁棒极点配置,可以通过求解两个分开的鲁棒状态反馈极点配置问题实现。     

基于MATLAB的线性系统极点配置问题的算法分析

线性系统的动态性能主要取决于系统极点的位置。极点配置问题就是把闭环极点组配置到所希望的位置上 ,使综合得到的系统动态性能达到期望的要求。极点配置问题的算法有多种 ,特别是对于多输入系统 ,其计算较为复杂。分析了一个基于龙伯格能控规范型的极点配置问题的算法 ,并针对此算法给出了一个具有实用价值的MATLAB通用程序     

带状态反馈约束的驾驶仪极点配置设计方法

将成熟的极点配置算法引入带状态反馈约束的自动驾驶仪设计中,提出了利用极点配置的求解工具将带状态反馈约束系统的非线性方程求解问题的阶数降低这一设计思路。具体方法是设置极点约束,利用极点配置求解的方便性,将极点配置算法求得的反馈增益与状态反馈约束组成非线性方程组,使原来的n阶非线性方程求解问题降阶,从而降低求解难度,通过求解非线性方程组进而完成自动驾驶仪设计。随后通过具体的带状态反馈约束的滚转驾驶仪设计例子验证了这一设计思路是可行的。     

导弹伪攻角反馈三回路驾驶仪设计分析

阐述了几种典型过载驾驶仪的结构演变过程,对传统三回路驾驶仪的结构进行了适当改进,提出了采用伪攻角作为反馈信号的三回路驾驶仪新结构。研究了驾驶仪工程指标与闭环极点之间的对应关系以及从状态反馈到输出反馈的变换技术,给出了基于输出反馈极点配置的伪攻角反馈三回路驾驶仪设计方法。研究结果表明,伪攻角反馈三回路驾驶仪消除了传统三回路驾驶仪的静差,并具有与其相似的控制特性以及鲁棒性能。分析结果显示,两种结构的三回路驾驶仪对静不稳定弹都具有较好的稳定控制性。     

不确定广义系统的镇定

针对输出反馈下不确定广义系统的可镇定问题,从状态反馈下闭环广义系统的稳定性问题入手,利用矩阵不等式,依次给出不确定广义系统可镇定、关联不确定广义大系统的分散可镇定、以及关联不确定广义大系统在执行器故障、传感器故障下分散可镇定的充分条件。由此推广到输出反馈,给出了输出反馈意义下的广义系统可镇定、关联不确定广义大系统的分散可镇定、以及关联不确定广义大系统在执行器故障、传感器故障下分散可镇定的充分条件(即完整性设计)。其中反馈控制器的设计方法简明而又统一,便于应用。最后用数值例子来验证所给结果的有效性。     

极点配置

本章分述三个主要问题:(1)系统设计中极点-零点配置的使用——它们对动态响应的影响;(2)使用根轨迹法和状态反馈或输出反馈控制器设计单输入单输出系统;(3)用输出反馈控制器(固定控制器、动态控制器和比例 积分控制器)在多变量系统中实现极点配置。在(3)中主要介绍最简单的单位秩控制器及极点配置,对于无约束秩控制器以及零点配置问题也将作某些解释。     

两回路自动驾驶仪设计与分析

分析了参数变化引起的弹体模型和静稳定性的改变,以及降低静稳定性对导弹机动性能的改善。研究了把工程指标转化为期望的闭环系统极点的方法,以及与全状态反馈等价的从状态反馈到输出反馈的变换技术,给出了基于极点配置和输出反馈的一般性的两回路自动驾驶仪设计方法。结果表明,两回路驾驶仪可以稳定静不稳定的弹体,而执行机构的有限的资源是限制驾驶仪控制作用的关键因素之一,引入加速度计到弹体质心距离这一参数后可以在一定程度上改善系统的稳定性。     

状态空间设计方法的CAD

本文介绍状态空间设计方法的CAD软件工具,通过化Yokoyama或Hessenberg能控、能观标准型,分析系统的能控性和能观性,给出了状态反馈极点配置及观测器设计和输出反馈极点配置设计。     

严格反馈型随机非线性系统输出反馈滑模控制

研究了一类带有不确定性参数的严格反馈型随机非线性系统的输出反馈镇定问题,主要是采用变结构滑模控制方法(SMC)来设计镇定控制器。首先根据系统的结构和输出状态构造了随机非线性状态观测器,并针对结构参数的不确定性,采用梯度自适应调节律,然后基于系统的观测状态选择滑动模切换流形,给出了不含噪声激励的变结构控制律,并证明滑动模的可达性和闭环系统滑模运动的稳定性,最后讨论了滑模控制的抖振抑制问题。通过系统仿真,与其它鲁棒控制方法进行比较,证明了本方法不仅能够有效地镇定该类随机非线性系统,并且具有一些更好的控制性能。     

不确定广义离散系统的鲁棒H-infinity控制

研究E矩阵,确定其它系数矩阵都存在满足范数有界条件的参数不确定性广义离散线性系统的鲁棒H∞控制问题。利用线性矩阵不等式方法,导出广义离散线性系统正则、因果、稳定且传递函数满足给定的范数界的等价条件。在此基础上,可以将广义不确定离散线性系统的状态反馈鲁棒H∞控制问题和输出反馈鲁棒H∞控制问题,分别转化为辅助广义确定性离散线性系统的状态反馈H∞控制问题和输出反馈H∞控制问题。     

Characteristic polynomial assignment in F-M model Ⅱ of 2-D systems

The problems of characteristic polynomial assignment in Fornasini-Marchesini (F-M) model Ⅱ of 2-D systems are investigated. The corresponding closed-loop systems described by F-M model Ⅱ are obtained via the state feedback.Using the algebraic geometry method, the characteristic polynomial assignment in the closed-loop systems is discussed. In terms of the theory of algebraic geometry, the problem of characteristic polynomial assignment is transferred to the one whether a rational mapping is onto. Sufficient conditions for almost arbitrary assignment coefficients of characteristic polynomial in F-M model Ⅱ of 2-D systems via state feedback are derived, and they are available for multi-input cases. It also has been shown that this method can be applied to assign the characteristic polynomial with output feedback. The sufficient conditions for almost arbitrary assignment coefficients of characteristic polynomial of multi-input 2-D systems described by F-M model Ⅱ with output feedback are established.     

CYCLE TIMES ASSIGNMENT OF NONLINEAR DISCRETE EVENT DYNAMIC SYSTEMS

1. IntroductionThe problem on poles assignment of DEDS which is described by linear system over max algebra, is solved 11'2]. In recent years, because of large range digital circuit requirement, nonlinearsystem theory over max algebra is expanding. G. J. Olsderl3] studied the fiXed point problem.J. G..awardenal4--6]-- dean of Basic Research institute in the Mathematics Sciences in HewlettPackard Laboratories studied a series of problems on autonomous systems, put forwardly1 andin 199716]…     

Stabilization of Continuous-Time Systems Against Stochastic Network Uncertainties: Fundamental Variance Bounds

This paper studies the stabilizability and stabilization of continuous-time systems in the presence of stochastic multiplicative uncertainties. The authors consider multi-input, multi-output(MIMO) linear time-invariant systems subject to multiple static, structured stochastic uncertainties,and seek to derive fundamental conditions to ensure that a system can be stabilized under a mean-square criterion. In the stochastic control framework, this problem can be considered as one of optimal control under state-or input-dependent random noises, while in the networked control setting, a problem of networked feedback stabilization over lossy communication channels. The authors adopt a mean-square small gain analysis approach, and obtain necessary and sufficient conditions for a system to be meansquare stabilizable via output feedback. For single-input, single-output(SISO) systems, the condition provides an analytical bound, demonstrating explicitly how plant unstable poles, nonminimum phase zeros, and time delay may impose a limit on the uncertainty variance required for mean-square stabilization. For MIMO minimum phase systems with possible delays, the condition amounts to solving a generalized eigenvalue problem, readily solvable using linear matrix inequality optimization techniques.     

On state feedback and pole assignment of the second order coupled singular distributed parameter systems in Hilbert space

State feedback and pole assignment of the second order coupled singular distributed parameter systems are discussed via functional analysis and operator theory in Hilbert space, in which infinite many poles are changed. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the pole assignment and stabilization of the singular distributed parameter systems.     

Characteristic Polynomial Assignment in 2-D System

CONTROL THEORY AND APPLICATION1. IWTSODUCTIONTwo-dimensional (2-D) systems have mad applications such as 2-D digital Kalman filtering, image processing,etc., and have been studied extensively during the past two decades [1, 2]. The characteristic polynomialassignment problem for 2-D systems is one of the most important problems in the research of 2-D systems,and has been considered by many authors. In reference 13], the author has presellt a method for coefficielltassignmellt …     

Packet-loss-dependent stabilization of NCSs with network-induced delay and packet dropout

This paper is concerned with controller design of networked control systems (NCSs) with both network-induced delay and arbitrary packet dropout.By using a packet-loss-dependent Lyapunov function,suffic...     

New type of adaptive control for a class of distributed time-delay systems with adaptation regard to delay parameter

The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to be a constant time-delay, but not known exactly. A design method is proposed for a memory proportional and integral (PI) feedback controller with adaptation to distributed time-delay. The feedback controller with memory simultaneously contains the current state and the past distributed information of the addressed systems. The design for adaptation law to distributed delay is very concise. The controller can be derived by solving a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the design method.     

Admissibility analysis and control synthesis for switched linear singular systems

The problem of admissibility analysis and control synthesis of discrete-time switched linear singular (SLS) systems for arbitrary switching laws is solved. By using the switched Lyapunov function approach, some new sufficient conditions under which the SLS system is admissible for arbitrary switching laws are derived in terms of linear matrix inequalities (LMIs). Based on the admissibility results, control synthesis is then to design switched state feedback and static output feedback controllers, guaranteeing that the resulting closed-loop system is admissible. The presented results can be viewed as the extensions of previous works on switched Lyapunov function approach from the regular switched systems to singular switched cases. Examples are provided to demonstrate the reduced conservatism and effectiveness of the proposed conditions.     

Static output feedback control for discrete-time fuzzy bilinear system

The problem of designing fuzzy static output feedback controller for T-S discrete-time fuzzy bilinear system (DFBS) is presented.Based on parallel distribution compensation method,some sufficient conditions are derived to guarantee the stability of the overall fuzzy system.The stabilization conditions are further formulated into linear matrix inequality (LMI) so that the desired controller can be easily obtained by using the Matlab LMI toolbox.In comparison with the existing results,the drawbacks,such as coordinate transformation,same output matrices,have been eliminated.Finally,a simulation example shows that the approach is effective.