【作者】 张红涛；

【导师】 刘新芝；

【作者基本信息】 华中科技大学 ， 系统工程， 2004， 硕士

【摘要】 一个复杂混合系统中可同时包含若干种连续过程和若干种离散过程,这些不同性质的过程交替发生,相互作用。本文以混合系统切换模型为研究对象,对具有脉冲控制、反馈控制以及扰动的受控系统的稳定性、鲁棒控制、能控能观性进行了详细的分析。同时,简单地介绍了混合系统在工业实践中的应用,尤其是混沌混合系统在保密通信中应用开发。首先,论文介绍了混合系统的发展概况以及现有的混合系统控制理论,结合实际生产,提出了一种伴随有切换脉冲或者施加了脉冲控制的切换系统数学模型――脉冲切换系统。然后,分别从稳定性、鲁棒控制、能控能观性三方面入手,对脉冲切换系统进行详细而深入的研究。利用 Lyapunov 函数法,得到了脉冲切换系统的渐近稳定性、鲁棒稳定性的充分条件;通过H∞控制方法,得到了系统内稳和具有γ 特性的充分条件,设计出了一个基于 MATLAB 的鲁棒H∞控制器;简要的介绍了现有的切换系统能控能观性理论,在此基础上,提出了脉冲切换系统的能控性条件,并通过一些数值例子验证了文中理论的有效性。最后,我们举例介绍了混合系统在工业生产中的应用。混合系统是一种复杂的非线性系统,通过选择适当的切换规则,混合系统能产生混沌。我们简要地分析了系统产生混沌的机理和混沌系统的动力学行为,阐述了混沌同步的原理和现有的同步方法,然后,逐一介绍了几种混沌同步在保密通信中的实现方案,并简单地概述了我们实验室的混沌同步保密通信的实验开发。本论文是在现有的切换系统理论基础上展开研究的,主要针对的是一类脉冲线性切换系统。在文末,我们对今后在混合系统方面要做的研究工作作了展望与设想。更多还原

【Abstract】 A complex hybrid dynamic system is made up of some continuous variable processesand some discrete event processes which occur alternately and interact. Based on switchedmodel, this thesis mainly studies some control problems of hybrid dynamic systems, such asasymptotic stability, robust stability, impulsive control, state-back control, H∞ control,controllability, observability etc. Hybrid dynamic systems are widely applied to the areas ofmanagement and control of complex systems, communication networks, artificalintelligence, numerical control systems, design of automatic driving etc. In particular, theapplication to secure communication is more and more focused on recently. Firstly, the background and basic control theories of hybrid dynamic systems aresimply introduced. A new mathematic model, named impulse switched systems, is presentedfor the systems under impulse control or accompanied with switching impulse at theswitching points. By Lyapunov function method, some sufficient conditions of asymptoticstability and robust stability of this system are obtained; By H∞ control method, the innerstability and γ performance of this system is studied and a robust controller based onMATLAB soft is designed; Some controllability and observability theories are introduced,several sufficient conditions of the controllability of this system are presented, and thensome numerical examples are worked to illustrate the efficiency of the main results. Hybriddynamic systems are a class of very complicated nonlinear systems and can generate chaosby chosen switching rules. Based on Chua’s circuit, the principle of generating chaos andchaos dynamic behaviors are analyzed in detail. Then, some theories and methods of chaossynchronization are illuminated and some projects, by which the chaos synchronization canbe realized in secure communication, are introduced. Finally, the thesis simply summarizesthe research work of our laboratory on secure communication systems based on chaossynchronization. This thesis is based on the theories of switched systems and mainly studies a class ofimpulse switched systems. In the end, A brief summary has been done for all discussion inthe thesis. The farther research trend on hybrid dynamic systems is presented.更多还原