本文選題：廣義時變對稱系統(tǒng) + 耗散控制　； 參考：《沈陽工業(yè)大學(xué)》2017年碩士論文

【摘要】：受航空航天、智能電網(wǎng)、機(jī)器人等領(lǐng)域快速發(fā)展的影響,廣義時變系統(tǒng)理論的研究得到了愈來愈多的關(guān)注,特別是關(guān)于其結(jié)構(gòu)分析以及相關(guān)控制問題的研究取得了豐碩成果。耗散性系統(tǒng)理論廣泛應(yīng)用于物理系統(tǒng)的分析與綜合,可用于降低系統(tǒng)研究中魯棒控制的保守性;時滯系統(tǒng)常應(yīng)用于無線傳感器等工程領(lǐng)域中的信息互換以及多目標(biāo)跟蹤。本文的主要工作有:針對廣義時變對稱系統(tǒng)的耗散性分析與控制問題,研究了一類廣義時變對稱系統(tǒng),對于給定的系統(tǒng)模型,引入了一個新的Lyapunov函數(shù),通過應(yīng)用廣義Lyapunov穩(wěn)定性理論、LMI線性矩陣不等式等方法,給出了使給定系統(tǒng)滿足容許且嚴(yán)格(Q,S,R)-耗散的充要條件,利用所得結(jié)論進(jìn)一步設(shè)計(jì)了使閉環(huán)系統(tǒng)滿足容許且嚴(yán)格(Q,S,R)-耗散的輸出反饋控制器;在此基礎(chǔ)上,還研究了使所給系統(tǒng)同時滿足H∞性能和正實(shí)性能的最優(yōu)值求解問題,通過應(yīng)用對稱系統(tǒng)的特殊結(jié)構(gòu),給出了最優(yōu)值?的顯示表達(dá)式。針對時滯廣義時變系統(tǒng)的容許與鎮(zhèn)定問題,研究了一類時滯廣義時變系統(tǒng)的容許性分析與鎮(zhèn)定控制,通過應(yīng)用廣義Lyapunov穩(wěn)定性理論、LMI線性矩陣不等式以及受限等價(jià)變換等方法,建立了針對時滯廣義時變系統(tǒng)的Lyapunov不等式,從而將時滯廣義時變系統(tǒng)的容許性問題轉(zhuǎn)化為求解時滯廣義時變系統(tǒng)的Lyapunov不等式問題,進(jìn)而得到了使給定系統(tǒng)滿足容許性的充分條件,根據(jù)所得的充分條件進(jìn)一步研究了時滯廣義時變系統(tǒng)的鎮(zhèn)定控制問題,給出了狀態(tài)反饋鎮(zhèn)定器的設(shè)計(jì)方法。
[Abstract]:Influenced by the rapid development of aerospace, smart grid, robot and so on, the theory of generalized time-varying systems has been paid more and more attention, especially the research on its structure analysis and related control problems has achieved fruitful results. The dissipative system theory is widely used in the analysis and synthesis of physical systems, which can be used to reduce the conservatism of robust control in system research, and time-delay systems are often applied to information exchange and multi-target tracking in engineering fields such as wireless sensors. The main work of this paper is as follows: for the dissipative analysis and control of generalized time-varying symmetric systems, a class of generalized time-varying symmetric systems is studied. For a given system model, a new Lyapunov function is introduced. By applying the generalized Lyapunov stability theory and LMI-linear matrix inequalities, a sufficient and necessary condition for a given system to satisfy the admissible and strictly Q ~ (1) S ~ (1) R ~ (+) dissipation is given. The output feedback controller for the closed loop system is further designed to satisfy the allowable and strict QN Schi-R dissipation by using the obtained conclusions, and on this basis, the problem of solving the optimal value to satisfy both H 鈭，

本文編號：1894205