Non-fragile decentralized H∞ controller design for uncertain linear systems

Considering the design problem of non-fragile decentralized H∞ controller with gain variations, the dynamic feedback controller by measurement feedback for uncertain linear systems is constructed and studied. The parameter uncertainties are considered to be unknown but norm bounded. The design procedures are investigated in terms of positive definite solutions to modify algebraic Riccati inequalities. Using information exchange among local controllers, the designed non-fragile decentralized H∞ controllers guarantee that the uncertain closed-loop linear systems are stable and with H∞ -norm bound on disturbance attenuation. A sufficient condition that there are such non-fragile H∞ controllers is obtained by algebraic Riccati inequalities. The approaches to solve modified algebraic Riccati inequalities are carried out preliminarily. Finally, a numerical example to show the validity of the proposed approach is given.     

注塑机注射速度的模糊控制及其仿真

注射速度控制是注塑成型工艺里极其重要的一环。由于注塑过程的时变和非线性特点,注射速度控制成为较为复杂的一个课题。在一个螺杆往返式注塑机通用模型的基础上,给出了注塑机速度模糊控制系统的一般性设计方法:输入输出量定义域的选择,隶属度函数的形状,使用相位面分析设计知识库,前馈控制器的设计。通过仿真说明了该方法设计的控制系统能有效的跟踪快速变化的速度设定曲线,在模型参数发生变化时也能够得到良好的控制效果。     

Robust H∞ control for neutral stochastic uncertain systems with time-varying delay

The problem of robust H∞ control for uncertain neutral stochastic systems with time-varying delay is discussed. The parameter uncertaintie is assumed to be time varying norm-bounded. First, the stochastic robust stabilization of the stochastic system without disturbance input is investigated by nonlinear matrix inequality method. Then, a full-order stochastic dynamic output feedback controller is designed by solving a bilinear matrix inequality (BMI), which ensures a prescribed stochastic robust H∞ performance level for the resulting closed loop system with nonzero disturbance input and for all admissible uncertainties. An illustrative example is provided to show the feasibility of the controller and the potential of the proposed technique.     

基于Petri网和GASA的JSP动态分类调度研究

针对车间作业的加工受到机床、操作工人等双资源制约条件下出现多种扰动的JSP调度问题,提出了基于受控Petri网和GASA对不同扰动进行分类处理的新方法。首先通过构建带有控制器的Petri网模型使系统的运行满足期望的目标,然后基于该模型把遗传算法和模拟退火算法相结合,以最小化最大完工时间为目标,基于机床故障修复时间、工人离岗时间及取消订单包含任务的多少进行分类调度,然后根据扰动恢复后剩余任务的多少决定是否进行再次调度,避免大范围调整造成的生产不稳定状态,最大限度的维持车间的生产能力。最后通过实例验证了算法的有效性和可行性。     

Decentralized Bezout Identity and a Parametrization of Decentralized Controllers for Singular Systems

1　 IntroductionConsider a singular decentralized control system of the formEx(t) =Ax(t) ∑Ni=1Biui(t)yi =Cix(t) ,i∈ N ={ 1 ,2 ,… ,N}(1 )where x(t)∈ Rn is the state vector,ui(t)∈ Rmi and yi(t)∈ Rpi are respectively the localcontrol input and measure outputvectors of the ith control channel.The matrix E may besingular,i.e.,rank(E) 相似文献   

基于PIλDμ控制器的一种线性系统辨识方法研究

近年来,分数阶控制研究愈来愈被关注.传统系统参数辨识算法主要基于在某种意义下的最优数据拟合思想,往往比较复杂、计算量大.我们将辨识误差的抑制问题,看作是以误差方程来描述的系统的状态渐近稳定性来处理,从而将反馈控制的思想引入辨识算法中,提出了一种基于分数阶PIλDμ控制器的线性系统参数时域辨识算法,给出了递推算法的详细推导,并用已知系统仿真验证了算法的有效性.该算法简便、计算量小.仿真结果表明,该算法优于传统最小二乘法.     

基于@-合成算子的模糊控制器设计

用@-合成算子对模糊控制器进行设计,得到三种新的设计方案,并应用于工业锅炉锅筒水位模糊控制器的设计. 通过MATLAB编程,实现了常用的$ \odot$-合成算子所设计的锅炉锅筒水位模糊控制器和基于@-合成算子得到的三种新的控制器.对实验结果进行分析,发现用@-合成算子设计的一种方案比人们常用的$\odot $-合成算子所设计出来的方案更好,是四种方案中最好的.     

动态输出反馈网络控制系统鲁棒控制器设计

研究了具有不确定时延的动态输出反馈网络控制系统鲁棒控制器设计问题.考虑小于等于一个采样周期的不确定时延,将动态输出反馈网络控制系统建模为含有不确定性的离散时变系统.利用Lyapunov理论和矩阵不等式方法,推导出系统鲁棒控制律存在的条件,并转化为矩阵不等式表示的可行性问题,从而可利用Matlab LMI工具箱来求解,以便构造鲁棒控制律.Matlab仿真算例说明分析方法和结果是有效可行的.     

微分进化微粒群算法及其控制

通过对微粒群优化算法的分析,提出了一种用微分方程组描述的微粒群优化算法——微分进化微粒群优化(DEPSO)算法,并利用传递函数对DEPSO算法的收敛性进行分析.在此基础上,通过引入PID控制器以控制DEPSO算法的动态进化行为,以增强微粒产生的多样性,从而改进微粒群优化算法的全局收敛性.仿真结果表明了此方法的有效性.     

Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion

A frequency-domain-based sufficient condition is derived to guarantee the globally asymptotic stability of the simplest Takagi-Sugeno (T-S) fuzzy control system by using the circle criterion. The analysis is performed in the frequency domain, and hence the condition is of great significance when the frequency-response method, which is widely used in the linear control theory and practice, is employed to synthesize the simplest T-S fuzzy controller. Besides, this sufficient condition is featured by a graphical interpretation, which makes the condition straightforward to be used. Comparisons are drawn between the performance of the simplest T-S fuzzy controller and that of the linear compensator. Two numerical examples are presented to demonstrate how this sufficient condition can be applied to both stable and unstable plants.