【作者】 龙承念；

【导师】 关新平；

【作者基本信息】 燕山大学 ， 控制理论与控制工程， 2001， 硕士

【摘要】 本文研究离散时滞不确定系统的鲁棒稳定性分析和鲁棒控制器设计问题。由于近些年来计算机在工业现场的广泛应用，对这一问题的深入研究，不仅能完善时滞系统的理论体系，而且将极大地推动时滞系统理论在实际中的应用。本文以离散时变时滞系统的时滞相关稳定性判定准则和鲁棒控制这一富挑战性的研究课题为主线展开了深入的研究，主要有以下研究成果： 一、研究了离散时滞系统时滞相关稳定性判定准则和相应的时滞鲁棒性问题。分别基于Lyapunov函数方法和Lyapunov-Krasovskii泛函方法，结合一个构造性差分格式提出了新的鲁棒稳定判定准则。提出了“控制时滞”的新思想，设计了状态反馈和动态输出反馈鲁棒控制器；结合一类具相似结构的不确定性离散时滞大系统，给出了时滞相关分散镇定控制器的设计方法；深入地探讨了时滞反馈控制器的设计，进一步分析了“时滞”对系统鲁棒性的影响。 二、研究了离散时滞系统弹性控制器设计和容错控制器设计问题，首次将弹性控制器设计思想引入到时滞系统中，得到了更具实际意义的鲁棒控制方案。提出“直接增补”的方法，并应用到离散时滞系统的容错控制器设计中，较好地解决了系统的鲁棒性和容错性的冲突。 三、深入探讨了离散时滞系统的无源化镇定控制器设计问题，推广了现有的时滞系统无源稳定性结果，为离散非线性时滞系统和具有非线性不确定性的离散时滞系统的稳定性分析和镇定控制提供了一条新路。 四、基于现有的2-D离散系统稳定性分析结论，讨论了2-D离散系统的鲁棒镇定控制器设计问题。基于线性矩阵不等式（LMI）方法，给出了鲁棒H_∞控制和保性能控制的设计框架，以及控制器存在的充分条件。 最后，结合ATM（异步传输模式）网络拥塞控制，给出了时滞系统应用与网络流量控制的一些初步探讨，目前正在将模糊-神经网络、预测模型控制 燕山大学工学硕士学位论文应用到含有时滞的复杂的网络流量环境中，以给出一个更有效的流量控制机理。更多还原

【Abstract】 This paper deals with the problems of robust stability analysis and robust controller design for discrete time-delay systems. Due to the computer widely used in the industry application, the discussion of the problem not only can perfect the theoretical basic of time-delay systems, but also will promote the application of time-delay systems. The delay-dependent stability criteria and robust control are mainly discussed, which are challenging researches in control issue for time delay system. The main work and contribution of this thesis are as follows: Firstly, the delay-dependent robust stability criteria and robust control problem are considered and some new results are developed. Based on the Lyapunov function and sophisticated Lyapunov-Krasovskii functional incorporated with a special constructing difference format, we give some novel results for delay-dependent robust controller design. The new idea of 揷ontrolling delay?is proposed in the design approach. The memoryless state feedback and dynamic output feedback controller design methods are given, respectively. Furthermore, the delay-dependent decentralized stabilization controller design problem is investigated for a class of discrete time-delay uncertain large-scale systems of the similar structure with the nominal system structure. The time delay feedback design is investigated further by using the Lyapunov-Krasovskii functional, and the robustness for time-delay is analyzed. Secondly, we introduce the robust resilient control to time-delay systems. The robust control issue can be well applied in practical application under the consideration of the actual controller parameter perturbation. The direct augment method is presented to the reliable controller design of discrete time-delay systems based on the resilient control design. By using our method, there is an excellent tradeoff between the robustness and the fault tolerance of the time-delay system. Thirdly, the robust passivity stabilization controller design for time delay system is presented. The result extends the existing result of the passivity stability 桰II- of time delay system. Besides, it gives a new method to study the nonlinear discrete time-delay system or nonlinear uncertainty of discrete time-delay systems. Nextly, the robust stabilization controller design problem is illustrated for 2-D discrete system. Based on the linear matrix inequality (LMI) technique, a design frame for the robust stabilization controller with H_inf and guaranteed cost performance of 2-D discrete system are given. Sufficient condition on the existence of proposed robust H_inf and guaranteed cost controller are acquired. Finally, the robust control for time-delay systems is applied to the congestion control of Asynchronous Transfer Model(ATM) network. Now, a suitable flow management is under investigation by combination with traffic predictive model and fuzzy-neural network congestion controller, which can deal with the sophisticated network environment.更多还原