本文選題：隨機T-S模糊雙曲正切模型 + 軟約束控制��； 參考：《西安電子科技大學(xué)》2015年碩士論文

【摘要】：模糊邏輯系統(tǒng)利用模糊集合和模糊推理方法處理難以用數(shù)學(xué)工具精確描述的不確定信息,對研究復(fù)雜非線性系統(tǒng)具有很大的突破。由此形成的模糊控制是研究非線性系統(tǒng)的重要方法。目前,基于0#1#(1)模糊模型的控制理論包括1模糊線性模型,1模糊雙線性模型,1模糊非線性模型。除此之外,在1隨機模糊系統(tǒng),1模糊采樣控制以及保性能控制方面取得了可觀的研究成果。本文主要基于1模糊雙曲正切系統(tǒng),根據(jù)-(+穩(wěn)定性定理,補定理,線性矩陣不等式(-$)和非脆弱保性能控制理論,分別利用1隨機模糊雙曲正切模型和1采樣模糊雙曲正切模型深入研究非線性系統(tǒng)。主要工作總結(jié)如下:1.針對連續(xù)的非線性系統(tǒng),提出1隨機模糊雙曲正切系統(tǒng)模型,該模型的后件部分為模糊雙曲正切動態(tài)模型。首先,利用/'算法設(shè)計1隨機模糊雙曲正切系統(tǒng)的模糊雙曲正切控制器,以-$形式給出閉環(huán)系統(tǒng)穩(wěn)定的充分條件。其次,結(jié)合1模糊輸出反饋控制器分析1隨機模糊雙曲正切系統(tǒng)的輸出反饋控制的穩(wěn)定性條件。最后,將該模型推廣到1不確定系統(tǒng)。相比其他1模糊模型,該模型的主要優(yōu)點在于具有較小的控制振幅,可以達到“軟”約束的控制效果。2.針對連續(xù)時間1模糊雙曲正切模型表示的非線性系統(tǒng),研究具有時變采樣方式的非線性系統(tǒng)的非脆弱保性能控制�？紤]有約束控制輸入的情形,給出一個新的引理來得到采樣模糊控制系統(tǒng)的隸屬函數(shù)偏差界,并建立偏差界和時變采樣區(qū)間上界之間的定量關(guān)系。然后,提出一種采樣模糊控制器設(shè)計的隸屬函數(shù)偏差方法,并以-$形式給出采樣模糊控制器存在隸屬函數(shù)偏差的條件。除此之外,將該方法推廣到非脆弱保性能控制,確定穩(wěn)定性條件。最后,用兩個例子證明所提的隸屬函數(shù)偏差方法可以降低現(xiàn)有采樣模糊控制設(shè)計結(jié)果的保守性。
[Abstract]:Fuzzy logic systems use fuzzy sets and fuzzy reasoning methods to deal with uncertain information which cannot be accurately described by mathematical tools, which is a great breakthrough in the study of complex nonlinear systems. The resulting fuzzy control is an important method for the study of nonlinear systems. At present, the control theory based on #1 #1) fuzzy model includes 1 fuzzy linear model, 1 fuzzy bilinear model and 1 fuzzy nonlinear model. In addition, considerable research results have been obtained in the field of fuzzy sampling control and guaranteed cost control for 1 stochastic fuzzy system. This paper is mainly based on 1 fuzzy hyperbolic tangent system, according to-(stability theorem, complement theorem, linear matrix inequality) and non-fragile guaranteed cost control theory. 1 random fuzzy hyperbolic tangent model and 1 sampling fuzzy hyperbolic tangent model are used to study the nonlinear system. The main work is summarized as follows: 1. A stochastic fuzzy hyperbolic tangent system model is proposed for continuous nonlinear systems. The latter part of the model is a fuzzy hyperbolic tangent dynamic model. Firstly, a fuzzy hyperbolic tangent controller for random fuzzy hyperbolic tangent systems is designed by using the r 'algorithm. A sufficient condition for the stability of the closed-loop system is given in the form of -$. Secondly, the stability condition of output feedback control for random fuzzy hyperbolic tangent system is analyzed by using 1 fuzzy output feedback controller. Finally, the model is extended to 1 uncertain system. Compared with other 1 fuzzy models, the main advantage of this model is that it has smaller control amplitude and can achieve the control effect of "soft" constraint. For nonlinear systems with continuous time 1 fuzzy hyperbolic tangent model, the nonfragile guaranteed cost control for nonlinear systems with time-varying sampling mode is studied. In this paper, a new Lemma is given to obtain the deviation bound of membership function of the sampled fuzzy control system, and the quantitative relationship between the deviation bound and the upper bound of time-varying sampling interval is established. Then, a membership function deviation method for the design of sampled fuzzy controller is proposed, and the condition for the existence of membership function deviation of the sampled fuzzy controller is given in the form of -$. In addition, the method is extended to non-fragile guaranteed cost control and stability conditions are determined. Finally, two examples are given to prove that the proposed membership function deviation method can reduce the conservatism of the design results of sampling fuzzy control.
【學(xué)位授予單位】：西安電子科技大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：O231

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相關(guān)期刊論文 前1條

1 ;Modeling and stabilization for a class of nonlinear networked control systems: A T-S fuzzy approach[J];Progress in Natural Science;2008年08期

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本文編號：1925774