数值界不确定性关联大系统分散鲁棒H∞控制

针对一类状态阵,控制输入阵及关联阵中存在数值界不确定性的关联大系统,研究其分散鲁棒H∞状态反馈和输出反馈控制器设计问题.基于有界实引理,推导出了其存在分散鲁棒H∞控制器的充分条件,即一组矩阵不等式有解.利用Schur补引理,通过固定不同变量,提出了一种构建分散控制器的同伦迭代线性矩阵不等式方法.所获得的控制器使闭环大系统鲁棒稳定,并且达到给定的H∞性能指标.最后用数值例子说明了所提的设计方法的有效性.     

一类不确定模糊模型的输出反馈鲁棒预测控制

针对一类满足扇形界条件的不确定模糊模型描述的非线性系统,提出一种输出反馈鲁棒预测控制方法．该方法将鲁棒预测控制的Min-Max优化问题转化为具有LMI约束的线性目标最小化问题,并且不需系统状态完全可测,仅仅利用系统测量输出和不可测状态的界限值来确定保证闭环系统鲁棒稳定的输出反馈控制器．仿真实验证明了该方法的有效性．     

An LMI approach to robust H-infinity control for uncertain singular time-delay systems

The problem of robust H-infinity control for a class of uncertain singular time-delay systems is studied in this paper. A new approach is proposed to describe the relationship between slow and fast subsystems of singular time- delay systems, based on which, a sufficient condition is presented for a singular time-delay system to be regular, impulse free and stable with an H-infinity performance. The robust H-infinity control problem is solved and an explicit expression of the desired state-feedback control law is also given. The obtained results are formulated in terms of strict linear matrix inequalities （LMIs） involving no decomposition of system matrices. A numerical example is given to show the effectiveness of the proposed method.     

Robust H-infinity filtering on uncertain systems under sampled measurements

1 Introduction Sampled measurements systems consist of a continuous- time plant and discrete-time plant. The systems contain sig- nals that evolve in continuous time as well as signals that evolve in discrete time. It is rather difficult to apply the stan- dard analysis results for linear continuous-time systems and discrete-time systems to the analysis of sampled measure- ments systems [1]. This fact has motivated much of the re- search on the analysis and synthesis of sampled measure- ments …     

一类高速采样不确定系统的鲁棒稳定性研究

研究了含有多面体不确定性Delta算子系统的鲁棒稳定性问题，采用线性矩阵不等式技术得出了一个新的参数依赖型Lyapunov稳定条件，此条件中，不确定系统在多面体不同顶点用不同Lyapunov矩阵判断其稳定性。研究结果表明与二次稳定条件相比，所提方法具有较低保守性，数值仿真验证了其可行性和有效性。     

基于变增益控制理论的感应电机转子磁链观测

针对交流感应电动机转子磁链观测问题,提出一种新的方法,基于变增益控制理论设计感应电机转子磁链观测器。首先把感应电动机模型作为LPV线性变参数系统,将感应电动机的磁通观测器看作线性变参数系统的一个控制器,而把转速与转子电阻作为系统的变参数,然后利用变增益控制理论,通过解一组线性矩阵不等式,设计满足H∞鲁棒稳定性能和动态特性磁链观测器,跟踪实际的磁链。仿真验证了此观测器的有效性和先进性。     

自反Ballach空间中极大单调集值映射变分不等式的解的存在性

研究一般凸集约束下自反Banach空间极大单调集值映射变分不等式的解的存在性，首先利用集值映射锐角原理，提出了一个例外簇的概念，由此给出变分不等式问题解存在的一个充分条件．对于伪单调变分不等式问题，它是解存在的充要条件．把文献[1]变分不等式问题解的存在性推广到自反Banach空间极大单调集值映射．     

Control of a class of pendulum-like systems with Lagrange stability

In this paper, the control problem of linear perturbed systems is investigated. Some strategies of controller design guaranteeing the closed-loop systems with property of pendulum-like and Lagrange stability are proposed. The given method is applied to the system of synchronous single-phase motor with pulsing vibrating moment.