有关非线性系统控制理论发展的一些注记

现代非线性系统控制理论在过去几十年里得到了长足的发展,而现在它又处在了一个新的发展时期.它涉及到许多有意义的问题,诸如非线性系统的镇定、跟踪、鲁棒控制、自适应控制等,而且还在不断地与通讯和计算机等高新技术融合完成更复杂的任务.秦化淑老师是我国研究现代非线性控制理论的元老之一,为我国非线性系统控制的发展做出了突出的贡献.在此借庆祝她80生日之时,简略回顾一下非线性控制理论及其方法,并讨论在当今信息科技蓬勃发展时期非线性系统控制理论研究的一些热门方向.     

一个三种群食物链系统的非线性控制

通过非线性控制系统理论研究了一个三种群食物链控制系统正平衡点的稳定性问题.针对不同的输出,分别得到了系统在该点渐近稳定的控制律.对复杂生物系统控制问题的研究具有一定的参考价值.     

控制系统理论及其应用研究的最新进展——庆贺程代展研究员70华诞

正2016年3月27日是著名系统控制专家程代展研究员70岁生日.程代展研究员一直致力于系统控制理论及其应用方面的研究,并做出了诸多有影响力的研究工作.程代展研究员是我国最早研究非线性系统几何控制理论的学者,在非线性系统线性化、稳定性与镇定、李群系统、哈密顿系统控制等方面做出了突出贡献,并因此于2008年获得国家自然科学二等奖.由于高科技与复杂系统理论研究的发展,逻辑型动态系统开始凸显其重要性.程代展研     

非线性控制系统的若干分析和综合方法

非线性系统控制是现代控制理论的重要组成部分.它涉及到许多有意义的控制问题.镇定控制是其中的一个核心设计问题,而目标跟踪、输出调节、自适应控制以及鲁棒控制等都是基于镇定的控制综合问题.我们实验室成员在过去的十多年里为解决非线性控制问题而提出了一系列不同的分析和控制方法,其中特别涉及到反馈线性化技术、广义Hamilton系统和非光滑控制.文章对我们已有的工作进行一个总结,也对非线性控制发展的未来做一个简要的展望.     

自抗扰控制:思想、应用及理论分析

首先从思想方法上剖析利用自抗扰控制思想处理不确定系统控制问题的独特之处,说明在运用自抗扰控制思想处理大范围及复杂结构(非线性、时变、耦合等)不确定系统时,首先需要准确分析系统中影响被控输出的"总扰动".然后,通过几个典型的应用研究实例说明自抗扰控制在处理大范围不确定性以及实现高精度闭环动态性能方面的优良品质.最后,对最新的理论分析结果进行简要综述.     

前言

2011年11月,中国自动化学会控制理论专业委员会将迎来自己的50华诞.1960年前后是现代控制理论从奠基到蓬勃发展的重要时期,在这一历史背景下,1960年,国际自动控制联合会( IFAC)正式成立,次年,即1961年,中国自动化学会成立,同时设立控制理论专业委员会.自成立以来,控制理论专业委员会一直致力于推动现代控制理论在我国的普及和提高,开展了形式多样、规模不等的学术交流活动.特别是自1978年中国自动化学会恢复活动后,控制理论专业委员会即于1979年主办了第一届"全国控制理论及其应用学术会议",为我国控制理论与应用工作者提供了一个良好的学术交流平台.1994年,为适应日益活跃的国际学术交流新形势,控制理论专业委员会提议并经中国自动化学会批准将每年一次的"全国控制理论及其应用学术会议"正式更名为"中国控制会议".到目前,中国控制会议已在全国各地举办30届,投稿数量、会议规模逐年增长,影响力日益扩大,已成为国内外控制领域具有重要影响的系列学术会议之一.回顾历史,控制理论专业委员会的50年,从一个侧面反映了我国科学发展的历程;历届专业委员会的辛勤工作为促进控制领域的国际学术交流与合作、推动我国控制科学的发展做出了重要贡献.     

一类非线性上三角系统的实用输出跟踪控制

利用齐次系统控制理论,研究了一类非线性上三角系统的实用输出跟踪控制问题,提出了一种解决上三角系统跟踪问题的齐次控制方法.所研究的系统是高阶的,允许不可测状态具有高阶增长形式.设计的控制器具有不依赖参考信号,可使跟踪误差任意小和对干扰的鲁棒性的优点.最后的仿真例子说明了结论的正确性.     

复杂系统控制分析综合中的若干新方向

随着当代科技的发展,复杂系统控制科学已经渗透到自然科学、工程技术和社会领域的各个方面,许多新的挑战性问题不断涌现.从一个侧面讨论了系统和控制科学理论中近年来一些研究机遇和重要问题,主要涉及高层次的自动机分析和控制,混杂系统和抽象化技术,网络化系统和分布式设计,并对所得到的有关研究结果做一个简要的总结以期与同行切磋讨论.还以此感谢系统控制重点实验室对我们工作的支持,并且对实验室成立50周年表示祝贺.     

关于控制理论发展的某些思考

今年适逢中国自动化学会控制理论专业委员会成立50周年,作为一名控制理论领域的科研工作者,我想与大家分享一下个人对控制理论发展的一些感悟和思考.我将从其学科特点、发展现状、发展前景及面临问题等几方面谈几点个人粗浅看法,算是抛砖引玉.     

年龄相关的非线性时变种群扩散系统最优分布控制的存在性

讨论了一类非线性时变种群扩散系统的最优分布控制问题,利用LionsJL的偏微控制理论和先验估计,证明了系统最优分布控制的存在性.所得结果可为非线性种群扩散系统中的最优控制问题的实际研究提供必要的理论基础.     

Aggregation and stability analysis of nonlinear complex systems

The problem of stability of large-scale systems in critical cases is investigated. New form of aggregation for essentially nonlinear complex systems is suggested. With the help of this form the sufficient conditions of asymptotic stability are determined. The results obtained are used for the stability analysis of complex systems by the nonlinear approximation and for the investigation of absolute stability conditions for a certain class of nonlinear systems.     

Autonomous control of complex systems: robotic applications

One of the biggest challenges of any control paradigm is being able to handle large complex systems under unforeseen uncertainties. A system may be called complex here if its dimension (order) is too high and its model (if available) is nonlinear, interconnected, and information on the system is uncertain such that classical techniques cannot easily handle the problem. Soft computing, a collection of fuzzy logic, neuro-computing, genetic algorithms and genetic programming, has proven to be a powerful tool for adding autonomy to many complex systems. For such systems the size soft computing control architecture will be nearly infinite. Examples of complex systems are power networks, national air traffic control system, an integrated manufacturing plant, etc. In this paper a new rule base reduction approach is suggested to manage large inference engines. Notions of rule hierarchy and sensor data fusion are introduced and combined to achieve desirable goals. New paradigms using soft computing approaches are utilized to design autonomous controllers for a number of robotic applications at the ACE Center are also presented briefly.     

Bilinear Control and Application to Flexible a.c. Transmission Systems

The purpose of this paper is an integrated overview of bilinear systems (BLS) research which has evolved over the past few decades, and a new result on control of flexible a.c. transmission systems (FACTS) is presented. BLS may be derived in many cases from principles of physics, chemistry, biology, socioeconomics, and engineering. In other cases, BLS are more accurate approximations to nonlinear systems than are traditional linear systems, as shown for example by the added bilinear terms (in state and control) for the Taylor series.While an appropriately designed linear control system may be optimum relative to some quadratic performance index without added constraints, bilinear or parametric control can be designed to improve more global performance and indeed to increase the region of attainable states. Such controllability and stabilization of BLS and of a series line-capacitor controlled FACTS is presented.     

Controllability of delay systems with restrained controls

Using a geometric growth condition, we characterize both the function space and Euclidean controllability of a nonlinear delay system which has a compact and convex control set. This extends analogous results for ordinary differential systems, and it yields conditions under which perturbed nonlinear delay controllable systems are controllable.This research was supported by the National Aeronautics and Space Administration under Contract No. NSG 1445Now on leave of absence as Professor, Department of Mathematics, University of Jos, Jos, Nigeria.     

非线性退化时滞微分控制系统的函数能控性

本文讨论非线性退化时滞微分控制系统．首先就非线性退化时滞微分控制系统的一阶变分系统给出变易公式,然后就非线性退化时滞微分控制系统的一阶变分系统的函数能控性给出一些判据,最后给出关于非线性退化时滞微分控制系统的函数能控性的判据．     

On asymptotic optimization of a class of nonlinear stochastic hybrid systems

We consider the problem of control for continuous time stochastic hybrid systems in finite time horizon. The systems considered are nonlinear: the state evolution is a nonlinear function of both the control and the state. The control parameters change at discrete times according to an underlying controlled Markov chain which has finite state and action spaces. The objective is to design a controller which would minimize an expected nonlinear cost of the state trajectory. We show using an averaging procedure, that the above minimization problem can be approximated by the solution of some deterministic optimal control problem. This paper generalizes our previous results obtained for systems whose state evolution is linear in the control.This work is supported by the Australian Research Council. All correspondence should be directed to the first author.     

可修复复杂系统脆性故障的研究

提出了可修复复杂系统的脆性概念,主要针对可修复复杂系统的脆性及其特性进行研究,建立了无储备和有储备可修复复杂系统的结构方程模型,用范数指标函数作为衡量控制变量的标准研究了可修复复杂系统的最优控制问题.     

On Russell's method of controllability via stabilizability

Russell has observed that a linear system is controllable provided it is stabilizable in both positive and negative time. We give a version of this result valid for nonlinear systems, and illustrate its use by giving new proofs of two classical results from control theory, the first involving bounded perturbations of controllable linear systems, and the second involving controllability of linear systems by bounded controls.This research was supported by the Natural Sciences and Engineering Research Council of Canada.     

A simple self-triggered sampler for perturbed nonlinear systems

Self-triggered control is a recent design paradigm for resource-constrained networked control systems. By allocating aperiodic sampling instances for a digital control loop, a self-triggered controller is able to utilize network resources more efficiently than conventional sampled-data systems. In this paper we propose a self-triggered sampler for perturbed nonlinear systems ensuring uniformly ultimately boundedness of trajectories. Robustness and time delays are considered. To reduce conservativeness, a disturbance observer for the self-triggered sampler is proposed. The effectiveness of the proposed method is shown by simulation.     

Stabilization of stochastic singular nonlinear hybrid systems

This paper deals with the control of the class of singular nonlinear stochastic hybrid systems. Under some appropriate assumptions, results on stochastic stability and stochastic stabilization are developed. Two state feedback controllers (linear and nonlinear) that stochastically stabilize the class of systems we are considering are designed. LMI sufficient conditions are developed to compute the gains of these controllers.