本文選題：執(zhí)行器飽和 + 不確定��； 參考：《沈陽師范大學(xué)》2017年碩士論文

【摘要】：約束現(xiàn)象種類繁多、數(shù)量巨大,其中飽和現(xiàn)象最為典型。在工業(yè)過程和實際生活中,飽和現(xiàn)象是十分常見的,系統(tǒng)的性能指標(biāo)嚴(yán)重受飽和存在的影響。而飽和又以多種形式存在于系統(tǒng)之中,即輸入飽和,輸出飽和,狀態(tài)飽和以及多個變量同時飽和。輸入飽和即執(zhí)行器飽和,由于其具有作用廣泛和極易出現(xiàn)的特點,因此針對執(zhí)行器飽和系統(tǒng)進(jìn)行研究,有著極強(qiáng)的理論價值和深遠(yuǎn)的實際意義。本文主要針對執(zhí)行器飽和系統(tǒng)的控制進(jìn)行研究,研究對象主要包括:具有執(zhí)行器飽和不確定線性系統(tǒng)、具有執(zhí)行器飽和切換系統(tǒng)以及具有執(zhí)行器飽和不確定切換系統(tǒng)。分析了系統(tǒng)的穩(wěn)定性,設(shè)計了相應(yīng)控制器,估計了吸引域的大小,還進(jìn)行了數(shù)值仿真等工作。本文主要有以下幾個內(nèi)容:1.介紹本文研究的核心內(nèi)容,即具有執(zhí)行器飽和控制系統(tǒng)的研究,并簡單介紹研究背景、選題意義,國內(nèi)外學(xué)者在執(zhí)行器飽和、不確定性、切換系統(tǒng)等方面積累的研究成果,本文研究所需的一些理論基礎(chǔ),例如:三種解決飽和項處理問題的常用方法,李雅普諾夫穩(wěn)定性理論及穩(wěn)定性分析方法,線性矩陣不等式概念及應(yīng)用,以及一些基本引理。2.研究不確定且具有執(zhí)行器飽和線性系統(tǒng)。飽和項的存在給研究帶來一定的困難,選擇恰當(dāng)?shù)姆椒ㄌ幚盹柡晚椫陵P(guān)重要,本文選用扇形區(qū)域法。引入Lyapunov函數(shù)方法,進(jìn)而獲得系統(tǒng)穩(wěn)定的判據(jù)。設(shè)計適當(dāng)?shù)臓顟B(tài)反饋控制器,給出相應(yīng)的仿真算例。3.研究執(zhí)行器飽和切換系統(tǒng)。首先,處理飽和項,選用扇形區(qū)域法。然后,引入Lyapunov函數(shù)以及線性矩陣LMI,給出系統(tǒng)想要達(dá)到穩(wěn)定需要滿足的條件。最后,估計吸引域的大小。4.研究不確定且具有執(zhí)行器飽和的切換系統(tǒng)。選用扇形區(qū)域法,解決飽和函數(shù)的處理問題。借助Lyapunov穩(wěn)定性理論并結(jié)合線性矩陣LMI知識,給出執(zhí)行器飽和不確定切換系統(tǒng)漸近穩(wěn)定的判據(jù)。最后,進(jìn)行全文內(nèi)容的總結(jié)歸納,并根據(jù)現(xiàn)有研究成果,對相關(guān)課題的研究進(jìn)行了展望。
[Abstract]:There are many kinds of constraint phenomena, and the saturation phenomenon is the most typical. Saturation is very common in industrial process and real life, and the performance of the system is seriously affected by saturation. Saturation exists in many forms in the system, that is, input saturation, output saturation, state saturation and simultaneous saturation of multiple variables. Input saturation is actuator saturation. Because of its wide range of functions and easy to appear, the research on actuator saturation system is of great theoretical value and far-reaching practical significance. In this paper, the control of actuator saturation system is studied. The main research objects are as follows: linear system with actuator saturation, system with actuator saturation switch and uncertain switch system with actuator saturation. The stability of the system is analyzed, the corresponding controller is designed, the size of the attraction region is estimated, and the numerical simulation is carried out. This article mainly has the following several contents: 1. This paper introduces the core content of this paper, that is, the research of actuator saturation control system, and briefly introduces the research background, the significance of selected topics, the accumulated research results of domestic and foreign scholars in actuator saturation, uncertainty, switching system, etc. In this paper, some necessary theoretical bases are studied, such as three common methods for solving saturation term problems, Lyapunov stability theory and stability analysis method, the concept and application of linear matrix inequality, and some basic Lemma. 2. Uncertain and saturated linear systems with actuators are studied. The existence of saturation term brings some difficulties to the research. It is very important to select the appropriate method to deal with the saturation term. In this paper, the sector region method is used. The Lyapunov function method is introduced to obtain the stability criterion of the system. An appropriate state feedback controller is designed, and a corresponding simulation example is given. The actuator saturation switching system is studied. First of all, the saturation term is dealt with and the sector region method is used. Then, the Lyapunov function and the linear matrix LMI are introduced to give the necessary conditions for the system to be stable. Finally, the size of the domain of attraction. An uncertain switched system with actuator saturation is studied. The sector region method is used to solve the problem of saturation function. Based on Lyapunov stability theory and linear matrix LMI knowledge, a criterion for asymptotic stability of switched systems with actuator saturation uncertainty is presented. Finally, the paper summarizes the content of the paper, and according to the existing research results, the research of related topics is prospected.
【學(xué)位授予單位】：沈陽師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TP13

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 姚合軍;袁野;喬s，

本文編號：1801340