發(fā)布時間：2018-06-01 21:22

  本文選題：切換系統(tǒng) + 分布時滯��； 參考：《東北石油大學(xué)》2017年碩士論文

【摘要】：考慮到分布時滯現(xiàn)象普遍存在于系統(tǒng)中,如機械傳輸過程、鍋爐溫度控制過程在不同位置上會有信號接收的時間差,如果不考慮此現(xiàn)象,系統(tǒng)的性能可能會受到影響,因此如何有效降低分布時滯對系統(tǒng)的影響具有重要的研究意義。本文主要研究具有分布時滯的切換系統(tǒng)的魯棒控制及濾波問題,其中包含:具有分布時滯的離散切換系統(tǒng)魯棒控制、具有分布時滯的連續(xù)切換系統(tǒng)濾波、無線傳感器網(wǎng)絡(luò)環(huán)境下離散切換系統(tǒng)濾波。本文采用的主要方法有:運用Lyapunov-Krasovskii泛函方法和線性不等式方法,還運用了平均駐留時間法以及通過技巧構(gòu)造泛函的差分,得到滿足性能指標(biāo)的充分條件。其中,平均駐留時間法與周期切換法不同,子系統(tǒng)有著各自的平均駐留時間,很好地降低了系統(tǒng)的保守性。首先,針對具有分布時滯的離散切換系統(tǒng)和連續(xù)切換系統(tǒng)分別研究了魯棒H?狀態(tài)反饋控制、H?動態(tài)輸出反饋控制,在任意切換信號下,給出系統(tǒng)穩(wěn)定的性能指標(biāo),進(jìn)而設(shè)計出狀態(tài)反饋控制器以及輸出反饋控制器,并給出數(shù)值算例進(jìn)行驗證。其次,研究了連續(xù)切換系統(tǒng)的濾波問題,采用平均駐留時間法和全等變換處理方法,建立具有分布時滯的連續(xù)切換系統(tǒng)的H?性能準(zhǔn)則和2L L?-性能準(zhǔn)則,設(shè)計出濾波器使得濾波誤差系統(tǒng)漸近穩(wěn)定,并通過LMI技術(shù)得到可行的濾波器參數(shù)矩陣。仿真證明所設(shè)計的方法可行。最后,針對具有分布時滯和隨機測量數(shù)據(jù)丟失的離散切換系統(tǒng),研究其H?濾波和2L L?-濾波問題。將測量數(shù)據(jù)丟失采用已知概率的Bernoulli隨機序列描述,構(gòu)造時滯依賴的泛函,利用平均駐留時間法得到滿足性能指標(biāo)的充分條件,將濾波器的設(shè)計轉(zhuǎn)化為一組線性矩陣不等式的求解。最后數(shù)值仿真驗證了方法是可行的。
[Abstract]:Considering that distributed time-delay phenomena generally exist in the system, such as mechanical transmission process, boiler temperature control process will have time difference in different positions, if this phenomenon is not taken into account, the performance of the system may be affected. Therefore, how to reduce the influence of distributed delay on the system is of great significance. In this paper, the robust control and filtering problems for switched systems with distributed delays are studied, which include: robust control for discrete switched systems with distributed delays, filtering for continuous switched systems with distributed delays, and robust control for switched systems with distributed delays. Filtering of discrete switched Systems in Wireless Sensor Networks. The main methods used in this paper are as follows: the Lyapunov-Krasovskii functional method and the linear inequality method are used, the average residence time method and the difference of the functional are constructed by the technique, and the sufficient conditions to satisfy the performance index are obtained. The average resident time method is different from the periodic switching method, and the subsystem has its own average resident time, which reduces the conservatism of the system. First of all, robust H _ (2) is studied for discrete switched systems with distributed delay and continuous switched systems. State feedback control? Dynamic output feedback control, under arbitrary switching signal, gives the stable performance index of the system, then designs the state feedback controller and output feedback controller, and gives a numerical example to verify the stability of the system. Secondly, the filtering problem of continuous-switched systems is studied. By using the mean dwell time method and the full transformation method, the H _ (?) of continuous switched systems with distributed delay is established. The filter is designed to make the filter error system asymptotically stable, and the feasible filter parameter matrix is obtained by LMI technique. The simulation results show that the proposed method is feasible. Finally, for discrete switched systems with distributed delay and random measurement data loss, the H? Filtering and 2L L- filtering problems. The Bernoulli random sequence of known probability is used to describe the measurement data loss, and the time-delay dependent functional is constructed, and the sufficient condition to satisfy the performance index is obtained by using the mean residence time method. The design of the filter is transformed into the solution of a set of linear matrix inequalities (LMIs). Finally, numerical simulation shows that the method is feasible.
【學(xué)位授予單位】：東北石油大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TP13

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本文編號：1965656