不确定广义Delta算子系统的保成本控制

发布时间：2018-05-22 20:39

  本文选题：不确定性 + 广义系统　； 参考：《青岛大学》2017年硕士论文

【摘要】：在对控制系统进行设计时,保持系统稳定是最基本的一项指标要求,然而在现实应用中,系统一般都存在着不确定性。不确定性会对系统产生很多不利的影响,不仅会破坏系统的某些重要性能,而且可能会使系统不稳定。保成本控制的目标就是要为含有不确定性的系统构造理想的控制器,以保证闭环系统对于所有容许的不确定性,是稳定的或是容许的,且性能指标存在确定上界。Delta算子模型能为连续和离散两类系统提供一个统一的描述,从而使得连续系统的很多结论能直接推广到离散系统中。另一方面,广义系统包括广义连续系统与广义离散系统,在实际生产中有着广泛的应用,而在广义连续系统方面取得的成果远远超过广义离散系统。因此,在进行广义系统的分析与探究时,把先进的Delta算子理论运用到其中,必定会对其研究及发展起到至关重要的推动作用。目前,可看到的关于广义Delta算子系统的相关探究成果主要集中在可控性、无源性及容许性等几方面;可看到的关于含有不确定性的广义Delta算子系统的相关探究成果主要集中在鲁棒容许性、鲁棒H∞及鲁棒非脆弱等几方面。但是有关含有不确定性的广义Delta算子系统的保成本控制问题的相关成果还鲜有报道。本文以不确定广义Delta算子系统为研究对象,分析与探究了其鲁棒保成本性能及控制问题。首先,分析了其鲁棒保成本性能,得到了基于矩阵不等式和线性矩阵不等式的两个充分性判别条件;其次,基于上述条件,分别给出了保成本状态反馈控制器的存在条件和设计方法,以及保成本输出反馈控制器的存在条件和设计方法;最后,利用数值算例及仿真曲线分别对所得的理论分析结果进行了正确性和可行性的检验。
[Abstract]:In the design of the control system, it is the most basic index requirement to keep the system stable. However, in the practical application, there are uncertainties in the system. Uncertainty will have a lot of adverse effects on the system, which will not only destroy some important performance of the system, but also make the system unstable. The goal of guaranteed cost control is to construct an ideal controller for systems with uncertainties to ensure that the closed-loop system is stable or admissible for all admissible uncertainties. Moreover, the upper bound. Delta operator model can provide a unified description for both continuous and discrete systems, so that many conclusions of continuous systems can be directly extended to discrete systems. On the other hand, singular systems include singular continuous systems and singular discrete systems, which are widely used in practical production, but the achievements in singular continuous systems are far more than those in singular discrete systems. Therefore, the application of advanced Delta operator theory in the analysis and exploration of generalized systems will certainly play a crucial role in its research and development. At present, the research results about generalized Delta operator systems are mainly focused on controllability, passivity and admissibility. The research results of generalized Delta operator systems with uncertainties are mainly focused on robust admissibility, robust H 鈭，

本文编号：1923529