本文選題：快速有限時間鎮(zhèn)定　切入點：高階非線性系統(tǒng)　出處：《曲阜師范大學(xué)》2017年碩士論文

【摘要】：本文第一章介紹高階隨機(jī)非線性系統(tǒng)和有限時間穩(wěn)定的發(fā)展情況.第二章研究有限時間穩(wěn)定性定理的改進(jìn)以及其在一類高階非線性系統(tǒng)中全局穩(wěn)定的應(yīng)用.新的控制策略結(jié)合構(gòu)造的李亞譜諾夫函數(shù),在現(xiàn)有的結(jié)果上用來分別處理高階和低階非線性增長率.不需要大的控制作用,收斂時間就可以大大縮短,但是當(dāng)初始狀態(tài)距離原點很遠(yuǎn)時,傳統(tǒng)的有限時間穩(wěn)定方案需要很長的時間周期.最后,做出了兩個仿真實例,其中包括一個實用的例子來說明所提出的策略的有效性.第三章研究一類更一般的隨機(jī)高階非線性系統(tǒng)的狀態(tài)反饋鎮(zhèn)定問題.在較弱的條件下,基于Backstepping設(shè)計方法和符號函數(shù)技術(shù),設(shè)計一個光滑的狀態(tài)反饋控制器,使閉環(huán)系統(tǒng)在區(qū)間[0,∞)上有唯一解,且閉環(huán)系統(tǒng)的平衡點是幾乎全局漸近穩(wěn)定的.最后,用一個仿真例子來證明控制方案的有效性。
[Abstract]:In the first chapter, we introduce the development of high order stochastic nonlinear systems and finite time stability.In chapter 2, we study the improvement of finite time stability theorem and its application to a class of high order nonlinear systems.The new control strategy combined with the construction of Li Ya's Bernoulli function is used to deal with the high order and low order nonlinear growth rates respectively in the existing results.The convergence time can be greatly shortened without large control effect, but when the initial state is far from the origin, the traditional finite time stabilization scheme needs a long time period.Finally, two simulation examples are given, including a practical example to illustrate the effectiveness of the proposed strategy.In chapter 3, the state feedback stabilization problem for a class of more general stochastic high order nonlinear systems is studied.Under weaker conditions, a smooth state feedback controller is designed based on the Backstepping design method and symbolic function technique. The closed-loop system has a unique solution on the interval [0, 鈭，

本文編號：1702718