Complete calming and stabilization of delay systems using spectral reduction

Spectrally controllable autonomous system with commensurable delays is reduced to a system with finite spectrum. For the spectrally reduced system, a state feedback is constructed such that it ensures complete calming of the original system and stability of the closed-loop system. The distributed delay in the closed-loop system can be only in one variable. The results are illustrated by an example.     

网络控制系统的能控性和能观性

给出了网络控制系统的定义，并基于线性时不变系统的被控对象，建立了传感器为时钟驱动，控制器和作动器为事件驱动时长时滞网络控制系统的数学模型，对网络控制系统的均值能控、均方能控、均值能观及均方能观作了定义，得到了网络控制系统能控的充分或必要条件及能观的充要条件．     

Stabilizing and deadbeat properties of receding-horizon controllers

It is shown that receding-horizon controllers with horizon length N ≥ v (v being the controllability index of the system) stabilize a given discrete-time linear multi-variable system. Necessary and sufficient conditions for a receding-horizon controller to be a deadbeat controller are also given. It is further shown that by modifying a receding-horizon controller m of the poles of the closed-loop system (where m is the dimension of the input space) can be assigned to zero with simultaneous stabilization. The deadbeat properties of such modified receding-horizon controllers are also investigated,     

Sampled-data supervisory control

This paper focuses on the issues related to the implementation of theoretical timed discrete-event systems (TDES) supervisors, and the concurrency and timing delay issues involved. In particular, we examine issues related to implementing TDES as sampled-data (SD) controllers. An SD controller is driven by a periodic clock and sees the system as a series of inputs and outputs. On each clock edge (tick event), it samples its inputs, changes state, and updates its outputs. We identify a set of existing TDES properties that will be useful to our work, but not sufficient. We extend the TDES controllability definition to a new definition, SD controllability, which captures several new properties that will be useful in dealing with concurrency issues, as well as make it easier to translate a TDES supervisor into an SD controller. We present controllability and non-blocking results for SD controllers.     

电驱动机器人手臂可控性分析

本文以一种由直流电动机驱动的单个关节的机械手臂为基础。建立其控制系统的无量纲化数学模型,然后再对线性化后的系统。以及因电源电压的限制和系统本身的非线性因素等构成的非线性系统的可控性进行了分析。结果表明,当此系统作为线性系统处理时是完全可控的。但是,当考虑电源电压的限制及系统的非线性因素时,则该系统在一定的参数条件下,在状态空间的某些范围内不能用一般状态反馈控制实现完全的可控性。然而,采用适当控制策略的以计算机为基础的非线性控制器(智能控制器)则可解决其完全可控性的问题。     

网络环境下不敏感系统的分布式区域预测控制方法

针对二分图网络结构下的不敏感系统的可控性比较差的问题,本文提出了带有区域控制的分布式模型预测控制方法.该方法首先利用分支定界法对分布式控制系统结构进行最优设计;然后,结合区域控制提高控制系统的动态性能指标;最后,依据回路之间的关联性的强弱选择每个回路的控制方式(精确控制或区域控制).仿真结果显示带有区域控制的分布式预测控制系统的调节时间比没有带区域控制的分布式控制系统明显缩短;同时,通过对回路控制方式的选择增加了精确控制的智能体数量.仿真结果证明了利用分布式区域预测控制方法可以提高系统的容错性,通过对系统的可控性和关联性进行分析,可以在精确控制和区域控制之间寻找到最优组合,从而达到快速精确的控制效果.     

On properties of pointwise degenerate linear autonomous control systems. I

Consideration was given to the pointwise degenerate control systems and the problem of full controllability of the linear autonomous system. A procedure was proposed to close this system by a delay controller such that the closed-loop system becomes pointwise degenerate along the directions corresponding to the phase variables of the initial system. At that, the roots of the characteristic polynomial of the closed-loop system can be taken negative, that is, the closed-loop system turns out to be asymptotically stable.     

On the controllability of systems with a time-varying delay†

This paper is concerned with the controllability of a system with a time-varying delay. The system to be considered here is described by a linear differential-difference equation of a retarded type, where a time-varying delay is a certain class of a time-varying function. First, the concepts of controllability for linear differential-difference systems with a constant delay, introduced by Weiss (1987), are developed to the system with a time-varying delay. Second, necessary and sufficient conditions for controllability are obtained. Finally, the controllability of a stationary system with a constant delay is treated, including the results of Chyung and Lee (1966).     

Euclidean controllability of linear delay systems with limited controls

For linear delay systems with limited controls the notion of a proper control system is introduced. If the uncontrolled systemdot{x}(t)= Ax(t)+ Bx(t-h)is uniformly asymptotically stable and the control equationdot{x}(t)=Ax(t)+Bx(t-)+Cu(t)is proper, then the control system is Euclidean null-controllable. We note that controllability is equivalent to the system being proper for delay systems with unlimited power.     

网络控制系统的能控性与能观性

针对随机时变时延的存在使得网络控制系统的分析变得非常复杂,传统的控制理论在应用到网络控制系统中时必须重新考虑的问题,通过在传感器和控制器的发送端和接收端引入缓冲器的方法,将网络控制系统中随机时延转化为确定性时延,在此基础上研究了网络控制系统的能控性和能观性,并给出了网络控制系统能控和能观的充分必要条件。该方法可推广至其他的时延系统中去。     

高阶系统方法—Ⅱ.能控性与全驱性

本文首先简述了基于状态空间模型的一阶动态系统的能控性进展, 指出了一阶系统方法中卡尔曼能控性体系的一些问题.然后证明了线性定常系统能控的充要条件是它能化成一个高阶全驱系统, 同时还在一定程度上将这一结果推广到非线性系统的情形.基于这一发现, 本文定义了一般动态系统的完全能控性, 明确其意义在于存在控制律使得闭环系统为一线性定常的高阶系统, 并且可以任意配置闭环特征多项式的系数矩阵, 同时还指出其多方面相关结论.     

典型大时变时滞工业过程的鲁棒数字PⅡ调节控制

通过分析典型大时变时滞工业过程的特性,提出了一种新的数字PⅡ鲁棒调节控制器的设计方法.应用这种数字鲁棒控制器,闭环系统可具有大时变时滞鲁棒镇定性,且完全抑制定值负载干扰.数字仿真验证了该方法的有效性.     

Impulsive semilinear heat equation with delay in control and in state

In this paper, we prove the interior approximate controllability of the impulsive semilinear heat equation with delay in control and in state by proving first that the linear heat equation with delay in control is approximately controllable. After that, we add impulses and a nonlinear perturbation with delay in state, and using Rothe's fixed point theorem, we prove that the interior approximate controllability of the impulsive semilinear system. Finally, we present some open problems and a possible general framework to study the controllability of impulsive semilinear diffusion process in Hilbert spaces with delay in control and in state.     

一种改进的自动化高速公路交通流速度控制器设计

在自动化高速公路的环境下, 针对一种基于非线性积分器Backstepping方法的交通流密度控制器, 本文提出一种改进的交通流速度控制器设计方法, 选取交通流速度为被控变量, 并采用Backstepping方法进行控制器的设计, 保证使每个路段的交通流速度以指数形式快速收敛到期望值. 与已有的方法相比较, 该控制器极大地提高了算法效率, 而且无需矩阵的逆运算, 可以自动满足系统的可控性条件. 仿真结果显示该控制器可以有效地减少道路拥塞, 有助于在拥堵的高速公路上实现平滑的交通流.     

On controllability of discrete event systems in a behavioral framework

The purpose of this paper is to investigate the controllability and the achievability of discrete event systems within a behavioral framework. Based on the notion of Willems’ behavioral controllability [1, 2], we introduce a new concept related to the controllability of discrete event systems. By using the controllability proposed here and the notion related to achievable behaviors [3, 4], we show that the behavioral controllability for a given specification with respect to language is equivalent to the existence of a controller, so that an interconnected system satisfies the specification exactly. A proposed controller here is represented by the intersection of the behavior of a given plant and that of a given (controllable) specification. We also clarify that our controllers for a given specification fit the properties of well-known supervisory controllers proposed and developed by Ramadge and Wonham [5]. The text was submitted by the authors in English.     

Control of incompletely controllable differential-difference systems with delay

A problem of control of linear autonomous differential-difference systems for violation of the condition of complete controllability and uncontrolled initial state is studied. A problem of system trajectory nullification and its delay there within any specified time period is posed. A new condition for solvability of this problem is proved and a constructive solution is proposed.     

针对输入时滞的桥式起重机鲁棒控制

针对工业桥式起重机输入信号存在时滞的问题,本文设计了一种鲁棒跟踪控制器.具体而言,本文通过分析欠驱动桥式起重机的特性,引入辅助系统,将时滞模型等效为不存在时滞的模型.在此基础上,考虑系统参数的不确定性,设计了一种鲁棒跟踪控制器.本文使用基于Lyapunov理论的稳定性分析及证明方法,通过建立Lyapunov-Krasovskii（LK）方程证明了位置跟踪误差以及摆角可以在有限时间内收敛到一个界内,且界的大小与控制增益负相关.完成控制器设计后,将其与工业上常用的比例-积分-微分（Proportion-integration-differentiation,PID）控制方法进行比较.仿真及实验结果表明,本文所设计的控制器优于PID控制器,具有良好的控制性能.     

DISCRETE OUTPUT FUZZY CONTROLLER DESIGN FOR ACHIEVING COMMON CONTROLLABILITY GRAMIAN

In control theory, the robust properties of linear systems can be related directly to properties of the controllability or observability Gramian. In this paper, a discrete fuzzy controller for a class of nonlinear systems is developed to achieve a common controllability Gramian. We assume that the nonlinear system is represented by the Takagi‐Sugeno fuzzy model. The purpose of this paper is to find the output feedback gains for the T‐S fuzzy controller after assigning a certain common controllability Gramian. Finally, we provide a numerical example to verify the effects of the proposed method.