本文選題：不確定性 + 廣義系統(tǒng)　； 參考：《青島大學(xué)》2017年碩士論文

【摘要】：在對(duì)控制系統(tǒng)進(jìn)行設(shè)計(jì)時(shí),保持系統(tǒng)穩(wěn)定是最基本的一項(xiàng)指標(biāo)要求,然而在現(xiàn)實(shí)應(yīng)用中,系統(tǒng)一般都存在著不確定性。不確定性會(huì)對(duì)系統(tǒng)產(chǎn)生很多不利的影響,不僅會(huì)破壞系統(tǒng)的某些重要性能,而且可能會(huì)使系統(tǒng)不穩(wěn)定。保成本控制的目標(biāo)就是要為含有不確定性的系統(tǒng)構(gòu)造理想的控制器,以保證閉環(huán)系統(tǒng)對(duì)于所有容許的不確定性,是穩(wěn)定的或是容許的,且性能指標(biāo)存在確定上界。Delta算子模型能為連續(xù)和離散兩類系統(tǒng)提供一個(gè)統(tǒng)一的描述,從而使得連續(xù)系統(tǒng)的很多結(jié)論能直接推廣到離散系統(tǒng)中。另一方面,廣義系統(tǒng)包括廣義連續(xù)系統(tǒng)與廣義離散系統(tǒng),在實(shí)際生產(chǎn)中有著廣泛的應(yīng)用,而在廣義連續(xù)系統(tǒng)方面取得的成果遠(yuǎn)遠(yuǎn)超過(guò)廣義離散系統(tǒng)。因此,在進(jìn)行廣義系統(tǒng)的分析與探究時(shí),把先進(jìn)的Delta算子理論運(yùn)用到其中,必定會(huì)對(duì)其研究及發(fā)展起到至關(guān)重要的推動(dòng)作用。目前,可看到的關(guān)于廣義Delta算子系統(tǒng)的相關(guān)探究成果主要集中在可控性、無(wú)源性及容許性等幾方面;可看到的關(guān)于含有不確定性的廣義Delta算子系統(tǒng)的相關(guān)探究成果主要集中在魯棒容許性、魯棒H∞及魯棒非脆弱等幾方面。但是有關(guān)含有不確定性的廣義Delta算子系統(tǒng)的保成本控制問(wèn)題的相關(guān)成果還鮮有報(bào)道。本文以不確定廣義Delta算子系統(tǒng)為研究對(duì)象,分析與探究了其魯棒保成本性能及控制問(wèn)題。首先,分析了其魯棒保成本性能,得到了基于矩陣不等式和線性矩陣不等式的兩個(gè)充分性判別條件;其次,基于上述條件,分別給出了保成本狀態(tài)反饋控制器的存在條件和設(shè)計(jì)方法,以及保成本輸出反饋控制器的存在條件和設(shè)計(jì)方法;最后,利用數(shù)值算例及仿真曲線分別對(duì)所得的理論分析結(jié)果進(jìn)行了正確性和可行性的檢驗(yàn)。
[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，

本文編號(hào)：1923529