LMI Approach to Robust H∞/H2 Controller Design with Regional Poles Constraint of a Pump-Motor System

Whenfacing withthe practical servosystemcon-trol problem,the control systemis often required tomeet many performance indexes which include ti medomain,frequency domainand H∞/H2.Theseindex-es have explicit purpose and appliedsituation.For ex-ample,the H∞normbetween disturbance and outputrepresents the capability of noise-i mmune,the smallerthe H∞normis,the more excellent stiffness the sys-temhas.And the square of H2norm between inputand output is equal to the energy of the systempulserespo…     

不确定随机多时滞系统鲁棒随机稳定性分析

研究了一类不确定随机多时滞系统的鲁棒随机稳定性问题,其中系统不确定参数满足线性分式结构。首先,将倒数凸方法加以推广,得到一个新的积分不等式引理;然后,充分考虑时滞区间上下限关系,构造了多时滞区间相关的李雅普诺夫函数,并在新的积分不等式方法下,得到具有更小保守性和较少自由变量的时滞相关稳定性条件; 最后,给出一些数值仿真实例,验证了所提方法的有效性。     

一种关联时滞大系统的状态反馈控制器的设计

基于线性矩阵不等式 (LMIs)方法 ,对具有N×N个任意未知常时滞的线性连续大系统 ,研究了关联矩阵在一般分解条件下的稳定化控制器的设计问题 ,给出了分散无记忆状态反馈控制器存在的充分条件 ,在此基础上 ,提出了具有较小反馈增益的分散状态反馈控制器的设计方法 ,最后用两个示例说明了本文方法具有较少的保守性     

Delay-independent decentralized stabilizer design for large interconnected power systems based on WAMS

Recent stabilizer design using wide-area measurement systems (WAMS) signals has been suggested to enhance the dynamic performance of large interconnected power systems. However, there is an unavoidable delay involved before these signals are received at the stabilizer site. Long time-delay may be detrimental to system stability and may degrade system performance. Therefore, the delay-independent robust control problem of large interconnected power systems based on WAMS is studied via H_∞ fuzzy control method. First, a set of equivalent Takagi–Sugeno (T–S) fuzzy model is employed to represent the large interconnected power systems. A wide-area state feedback decentralized control scheme is developed to stabilize the T–S fuzzy systems without any wide-area signals delay information such that the H_∞ performance is achieved. The H_∞ fuzzy robust control design problem is parameterized in terms of a linear matrix inequality (LMI) problem, and the LMI problem can be solved very efficiently using the convex optimization techniques. Finally, the performance of the robust control is studied using a fourteen-machine interconnected power system example.     

不确定广义系统的可靠保性能控制

针对一类含有时变、范数有界参数不确定广义系统,结合一个二次型性能指标,研究了广义系统执行器出现故障时,故障闭环系统保持正则、稳定、无脉冲,且闭环性能指标不超过某个确定界的状态反馈可靠保性能控制律的设计问题.利用线性矩阵不等式(LMI),给出了可靠保性能状态反馈控制器存在的充分条件及设计方法.数值算例验证了设计方法的有效性.     

Active fault‐tolerant control for switched systems with time delay

This paper focuses on the problem of active fault‐tolerant control for switched systems with time delay. By utilizing the fault diagnosis observer, an adaptive fault estimate algorithm is proposed, which can estimate the fault signal fast and exactly. Meanwhile, a delay‐dependent criterion is obtained with the purpose of reducing the conservatism of the adaptive observer design. Based on the fault estimation information, an observer‐based fault‐tolerant controller is designed to guarantee the stability of the closed‐loop system. In terms of linear matrix inequality, sufficient conditions are derived for the existence of the adaptive observer and fault‐tolerant controller. Finally, a numerical example is included to illustrate the efficiency of the proposed approach. Copyright © 2011 John Wiley & Sons, Ltd.     

离散广义系统的正实性分析

目的研究离散广义系统严格正实分析和控制问题．方法使用分块矩阵、等价变换等代数方法，证明了离散广义系统严格正实的充分必要条件．结果得出了等价情形的新正实定理．结论为寻找用简单方法通过线性矩阵不等式（LMI）构造正实反馈控制器，进一步处理非正实系统实现问题奠定了理论基础．     

基于LMI方法的不确定广义系统的鲁棒镇定

了一类不确定广义系统的鲁棒镇定问题,基于LMI方法,提出了一种能使闭环系统对所有容许的不确定性具有鲁棒性的鲁棒镇定反馈设计方法。