时滞随机大系统的分散次优镇定

本文基于Ｒｉｃａａｔｉ矩阵方程、采用Ｌｙａｐｕｎｏｖ泛函研究具有时滞的Ｉｔｏ型随机大系统的分散次优镇定，建立了分散次优镇定的判据，给出了确定分散次优控制器的一个算法，这个算法以求解Ｌｙａｐｕｎｏｖ矩阵方程与Ｒｉｃｃａｔｉ矩阵方程为基础。文中命同了数值算例以说明本文算法的用法。     

非线性大系统的分散镇定

本文研究具有强耦合互联非线性系统的反馈镇定问题，给出了能用几乎光滑反馈镇定的Ｌｙａｐｕｎｏｖ条件和新的几乎光滑反馈律。     

具有输入饱和的非线性系统的分散输出控制

考虑了一类具有输入饱和的非线性组合大系统的镇定问题。利用李雅普诺夫稳定理论和矩阵理论研究了这类非线性组合大系统的分散输出镇定问题,并给出了一种分散输出镇定控制器的设计。考虑了另一类具有输入饱和的非线性相似组合大系统,由于相似组合系统的结构特点,给出了简洁的分散输出镇定的条件。     

一类非线性组合大系统的分散鲁棒镇定

研究一类比较广泛的非线性组合大系统的分散鲁棒镇定问题。给出了检验这类非线性组合大系统可分散鲁棒镇定的条件,该判别条件只     

不确定非线性环链系统的分散鲁棒控制

提出了环链系统和一类不确定非线性环链系统,利用线性代数理论,给出了实现环链系统的充要条件,运用李雅普诺夫稳定理论和矩阵理论研究了不确定非线性环链系统的鲁棒镇定,并给出了一种非线性鲁棒镇定控制器的设计,还考虑了一类非线性环链相似组合大系统,给出了分散鲁棒镇定条件,最后给出数值例子说明设计方法的有效性。     

具有输入饱和的非线性关联大系统的分散控制

考虑了一类具有输入饱和的不确定非线性关联大系统的分散输出反馈鲁棒镇定问题,利用Riccati方程的方法和矩阵的Moore-Penrose逆给出了这类系统的一种分散输出反馈鲁棒镇定控制器的设计方法.同时,考虑了一类具有输入饱和的不确定非线性相似关联大系统,利用相似系统的结构特点,简化了分散输出反馈鲁棒镇定的条件.     

非线性大系统的分散输出反馈半全局鲁棒镇定

从半全局镇定角度研究非线性大系统的分散输出反馈鲁棒镇定问题．对一类满足新型增长条件的非线性大系统, 给出了分散输出反馈半全局鲁棒镇定控制器的设计方法．对任意给定状态空间的紧子集, 可经此方法设计分散输出反馈控制器, 使受控大系统在原点是渐近稳定的同时吸引域包含指定的紧子集．     

一类不确定非线性动力系统的鲁棒镇定*

研究一类带有匹配不确定性非线性动力的鲁棒稳定问题,基于Ｌｙａｐｕｎｏｖ稳定性理论给出了一种连续型的鲁椿指数镇定控制器设计方案,算例仿真证实了本文设计了方案的有效性。     

非线性不确定系统的鲁棒镇定与HJI微分不等式

研究一类带模有界条件的非线性不确定系统的鲁棒镇定,定义了Ｌｙａｐｕｎｏｖ意义下的鲁棒镇定概念,得到了系统鲁棒镇定的充分必要条件。结果说明,在带模有界条件下,非线性不确定系统的鲁棒可镇定性与一个扩展的Ｈａｍｉｌｔｏｎ Ｊａｃｏｂｉ－Ｉｓａａｃｓ（ＨＪＩ）微分不等式是否存在正解完全等价。     

非线性参数扰动多重时滞系统的鲁棒稳定性分析与变结构控制

研究一类非线性参数扰动满足范数有界条件的多重时滞系统,利用Ｌｙａｐｕｎｏｖ函数方法,获得了一个新的鲁棒稳定性充分条件,并应用变结构控制实现了该类非线性参数扰动多重时滞系统的鲁棒镇定。     

Decentralized measurement feedback stabilization of large-scale systems via control vector Lyapunov functions

This paper studies the problem of decentralized measurement feedback stabilization of nonlinear interconnected systems. As a natural extension of the recent development on control vector Lyapunov functions, the notion of output control vector Lyapunov function (OCVLF) is introduced for investigating decentralized measurement feedback stabilization problems. Sufficient conditions on (local) stabilizability are discussed which are based on the proposed notion of OCVLF. It is shown that a decentralized controller for a nonlinear interconnected system can be constructed using these conditions under an additional vector dissipation-like condition. To illustrate the proposed method, two examples are given.     

Decentralized stabilization of large-scale feedforward systems using saturated delayed controls

This paper investigates the problem of decentralized stabilization via saturated delayed feedback. First, a new class of saturated delayed feedback controllers is proposed for a class of single-input feedforward nonlinear systems. Then, this design scheme is generalized for the setting of decentralized feedforward systems using saturated time-delayed feedback. The stability analysis for the closed-loop decentralized systems is rather simple based on the proposed feedback structure.     

Robust decentralized control for a class of uncertain nonlinear interconnected systems with similar structures

This paper addresses the problem of the robust decentralized control for nonlinear interconnected systems with uncertainties. The similar structures of nonlinear interconnected systems are first defined. Then, controllers are designed for these systems to solve the problems of robust decentralized output tracking and robust decentralized stabilization via static output feedback. The results obtained in this paper show that the analysis and design of systems can be simplified by using the similar structures of systems. Simulation examples are given to show the effectiveness of the method.     

Decentralized output feedback stabilization of a class of nonlinearinterconnected systems

The problem of decentralized output feedback stabilization of a class of nonlinear interconnected systems is considered. On the basis of the linear-quadratic design, a sufficient condition for the existence of the decentralized output feedback control of the problem is presented. An estimation of the associated stability domain is also given. An application to the decentralized control of a large-scale telescope is presented to illustrate the use of the results     

具有多项式型非线性项的大规模随机非线性系统的分散输出反馈镇定

基于齐次占优方法研究 具有多项式型非线性项的大规模随机非线性系统的分散输出反馈镇定问题. 本文的主要贡献在于利用高增益齐次占优方法来解决大规模随机非线性系统的分散控制问题. 这种方法能彻底地去掉传统结果中所要求的线性增长条件, 不仅推广了以前的结果还得到了一些新的结果. 仿真验证了输出反馈控制器的有效性.     

Decentralized stabilization of a class of interconnected stochasticnonlinear systems

This paper focuses on a class of large-scale interconnected stochastic nonlinear systems. The interconnections are bounded by strong nonlinear functions that contain first order and higher order polynomials as special cases. The problem we address is to design a decentralized controller such that the closed-loop, large-scale, interconnected stochastic nonlinear system is globally asymptotically stable in probability for all admissible interconnections. It is shown that the decentralized global stabilization via both state feedback and output feedback can be solved by a Lyapunov-based recursive design method