提高计算几何算法健壮性方法的研究

讨论了计算几何领域中影响算法健壮性的一些因素.根据影响算法健壮性的退化现象.提出了增强算法健壮性的策略,包括长精度数据的使用、对剖分域中的部分点进行合理赋权、在几何运算时采取误差控制等技术.经程序测试,这些方法不仅增加了算法的健壮性,而且可以提高系统处理问题的能力.     

Robustness analysis of control systems with disc uncertainties

1IntroductionIn practice,a single nominal plant model never exactlymatches the true behavior of the plant.This is due to themodel uncertainty or plant parameter variations.The formeris calledthe unstructured uncertainty andthe latter is calledthe structured uncertainty,i.e.the parametric uncertainty.Much attention is paid to the subject of analysis andsynthesis of control systems under uncertainties,whichis inthe robust control framework.In recent years,rapid andspectacular developments have …     

微型锅炉液位模糊PID控制

本文研究基于Profibus现场总线和以太网两级网络的过程控制系统实验装置，被控对象是模拟电热锅炉。重点介绍了模糊PID控制算法在锅炉液位控制实验系统中的应用，说明了实验原理和实验教学应用软件设计开发过程。实验结果表明。在Fuzzy—PID控制下，系统的动、静态性能均优于传统的PID控制器。     

On absolute stability of Lur＇e control systems with multiple non-linearities using linear matrix inequalities

Necessary and suffcient conditions for the existence of a Lyapunov function in the Lur‘e form to guarantee the absolute stability of Lur‘e control systems with multiple non-linearities are discussed in this paper. It simplifies the existence problem to one of solving a set of linear matrix inequalities (LMIs). If those LMIs are feasible, free parameters in the Lyapunov function, such as the positive definite matrix and the coefficients of the integral terms, are given by the solution of the LMIs. Otherwise, this Lyaptmov function does not exist. Some sufficient conditions are also obtained for the robust absolute stability of uncertain systems. A numerical example is provided to demonstrate the effectiveness of the proposed method.     

On absolute stability of Lur''''e control systems with multiple non-linearities using linear matrix inequalities

Necessary and suffcient conditions for the existence of a Lyapunov function in the Lur'e form to guarantee the absolute stability of Lur'e control systems with multiple non-linearities are discussed in this paper. It simplifies the existence problem to one of solving a set of linear matrix inequalities (LMIs), If those LMIs are feasible, free parameters in the Lyapunov function,such as the positive definite matrix and the coefficients of the integral terms, are given by the solution of the LMIs. Otherwise, this Lyapunov function does not exist. Some sufficient conditions are also obtained for the robust absolute stability of uncertain systems.A numerical example is provided to demonstrate the effectiveness of the proposed method.