一类具有有界扰动的非线性系统的输出反馈自适应控制

该文考虑一类具有有界干扰和未知参数的非线性系统（１）,设计出一种用于输出跟踪的输出反馈鲁棒自适应控制器。该控制器能保证闭环系统的全局稳定性,并且解决了ε－跟踪问题。仿真结果表明,所设计的自适应控制器具有良好的跟踪性能。     

一类不确定非线性系统的适应输出反馈控制

针对一类存在有界干扰的线性参数化非线性系统，给出了一种新的适应输出反馈控制器．该控制器能保证闭环控制系统所有信号的全局有界性．该文将现有的非线性适应输出反馈控制方面的结果，从无扰动情形推广到了存在有界干扰的情形．仿真结果用来说明所设计控制器的有效性．     

一类不确定非线性系统的适应H-infinity控制

主要讨论了一类具有不确定参数的非线性系统的通过适应输出反馈达到干扰衰减的问题．通过构造降维观测器,利用Backstepping方法设计输出反馈控制器,使闭环系统具有不确定参数的标准的增益问题可解,并使系统达到内稳定．     

一类带有未知控制方向的非线性系统的适应镇定问题

The adaptive stabilization problem of nonlinear systems are studied. For a class of uncertain nonlinear systems with unknown control direction, we proposed a robust adaptive backstepping scheme withσ-modification by introducing Nussbaum function and Backstep- ping methods, and proved that all the signals of the closed-loop systems are bounded.     

具有未知扰动的广义系统的故障检测

研究具有未知扰动的随机广义系统的故障检测问题,在合理的条件下,利用状态变换从原系统中分离出一个与未知扰动解耦的降阶子系统,构造了该随机子系统稳定的滤波器,给出了输出偏差量的统计特性,在此基础上,实现了系统故障的检测．     

高阶不确定非线性系统切换自适应镇定

研究了一类控制系数未知高阶不确定非线性系统的全局自适应稳定控制设计问题.值得指出的是,更高的系统幂次和未知的控制系数显示系统容许更强的非线性和更严重的不确定性/未知性,因而所研究的系统更具一般性.这里不是采用传统自适应技术,而是通过灵活运用基于切换的自适应技术和增加幂积分方法,给出了该控制问题的结构简单且易于实现的新型切换自适应控制器.所设计控制器保证闭环系统状态全局有界且最终趋于零.     

具有重叠多非线性项的一般Lurie系统的绝对稳定性

本文研究了具有重叠多非线性项的一般Lurie直接系统的绝对稳定问题.利用关于某个变元绝对稳定的概念,获得了绝对稳定的充要条件和一些充分条件,推广了现有的一些研究结果.     

具有重叠多非线性项的一般Lurie系统的绝对稳定性

本文研究了具有重叠多非线性项的一般Lurie直接系统的绝对稳定问题. 利用关于某个变元绝对稳定的概念, 获得了绝对稳定的充要条件和一些充分条件, 推广了现有的一些研究结果.     

非线性时滞系统自适应模糊动态面控制

针对未知非线性系统控制器设计过程中引入逼近器过多的问题,提出一种简化的自适应模糊动态面控制器设计方案.在控制器设计过程中,仅采用一个模糊逻辑系统作为逼近器,使得所有的未知项得到补偿,同时采用自适应技术在线辨识未知参数和逼近误差上界.文中的控制方案克服了传统backstepping控制器中"复杂性膨胀"的问题.通过构造合适的Lyapunov函数,证明闭环系统的所有信号为半全局最终一致有界.仿真实例验证所提出的控制方案的有效性.     

基于输出反馈的一类大型互联非线性系统的鲁棒全局指数稳定

研究基于输出反馈的一类新的大型互联非线性不确定系统的鲁棒全局指数稳定问题,通过构造每个子系统收敛的状态观测器,并对观测器的状态作线性变换,得到鲁棒分散输出反馈控制器.当该反馈控制律作用于该系统时,闭环系统是全局指数稳定的.     

Decentralized Output Feedback Sliding Mode Control of Nonlinear Large-Scale Systems with Uncertainties

In this paper, a class of nonlinear large-scale interconnected systems with mismatched uncertainties is considered. Based on sliding mode control ideas, a kind of decentralized robust control scheme using only output information is presented to stabilize the system. The approach allows more general uncertain interconnections than all of the associated existing work and better robustness is achieved. Compared with existing decentralized output feedback schemes, it is unnecessary to solve Lyapunov equations and the so-called strict structural condition is avoided. Also, it is not necessary that the nominal subsystem is output feedback stabilizable. Finally, a simulation example is presented to illustrate the effectiveness of the results.     

Decentralized Control of Nonlinear Large-Scale Systems Using Dynamic Output Feedback

In this paper, a class of nonlinear large-scale systems with similar subsystems is studied. Both matched and unmatched uncertainties are considered by utilizing their bounding functions, and the interconnections take a more general form than considered previously. Based on a constrained Lyapunov equation, a nonlinear dynamic output feedback decentralized controller is presented. Unlike existing results, matched uncertainties are considered in the control design; by using a decomposition of the interconnections, the known and uncertain interconnections are treated separately; thus, the robustness is improved and conservativeness is reduced significantly. The computation effort for solving the Lyapunov equation is greatly reduced by taking into account the similar subsystem structure. Finally, simulation is used to illustrate the effectiveness of our results.     

分布时滞系统的动态输出反馈鲁棒稳定

主要研究了一类具分布时变时滞不确定系统的输出反馈鲁棒稳定问题.基于动态输出反馈和Lyapunov-Krasovskii泛函,给出了闭环系统与时滞相关的鲁棒稳定的条件.所得条件为线性矩阵不等式形式,便于运用内点算法进行求解.     

Robust Stabilization by Dynamic Combined State and Output Feedback Compensator for Nonlinear Systems with Jumps

This paper deals with the robustness of the class of nonlinear systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the assumption that the Markovian jump process (disturbance) is irreducible and under complete access to the system state and its mode, we establish robust stability results in two cases: (i) under matching conditions; and (ii) under bounded uncertainties.Research of this author was supported by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0036444     

Stochastic Output Feedback of Uncertain Time-Delay Systems with Saturating Actuators

This paper deals with the class of uncertain continuous-time linear systems with Markovian jumps, time delay, and saturating actuators. Under norm-bounded uncertainties and based on the Lyapunov method, sufficient conditions on stochastic stability and stochastic stabilizability are developed. A design algorithm for a stabilizing observer-based robust output feedback controller is proposed in terms of the solutions of linear matrix inequalities.     

一类非仿射不确定非线性系统的自适应模糊输出反馈控制

针对一类非仿射的不确定非线性系统,利用H∞控制技术和模糊系统,提出一种基于观测器的混合的直接自适应模糊控制方法,该方法不需要系统的状态变量完全可测,同时取消了最优逼近误差平方可积的假设条件,而且跟踪误差渐近收敛到零。仿真结果表明所提设计方法的有效性。     

非线性奇异摄动系统的输出调节问题

本文讨论了一类非线性奇异摄动系统的输出调节器问题 .在一些合理的假设条件下 ,综合利用奇异摄动和几何方法 ,我们给出了问题可解的充分必要条件 .     

广义双线性系统的输出变结构控制

首次利用广义Lyapunov函数方法针对不确定广义双线性系统的输出变结构控制问题进行研究.首先,选取设计了带有滑动模动态补偿器的切换函数,保证了系统在准切换流形上的渐近稳定性.其次,在不确定参数和扰动范数有界的条件下,设计了变结构控制器,使得在控制下闭环系统在有限时间内实现滑模运动.最后,通过数值算例说明了设计方法的合理性和有效性.     

LMI Approach to Output Feedback Control for Linear Uncertain Systems with D-Stability Constraints

This paper deals with the problem of designing output feedback controllers for linear uncertain continuous-time and discrete-time systems with circular pole constraints. The uncertainty is assumed to be norm bounded and enters into both the system state and input matrices. We focus on the design of a dynamic output feedback controller that, for all admissible parameter uncertainties, assigns all the closed-loop poles inside a specified disk. It is shown that the problem addressed can be recast as a convex optimization problem characterized by linear matrix inequalities (LMI); therefore, an LMI approach is developed to derive the necessary and sufficient conditions for the existence of all desired dynamic output feedback controllers that achieve the specified circular pole constraints. An effective design procedure for the expected controllers is also presented. Finally, a numerical example is provided to show the usefulness and applicability of the present approach.