發(fā)布時(shí)間：2018-06-24 21:33

  本文選題：時(shí)滯系統(tǒng) + Non-A代數(shù)法　； 參考：《南京理工大學(xué)》2017年碩士論文

【摘要】：時(shí)滯現(xiàn)象在實(shí)際工程中普遍存在,如:智能交通、航空航天和網(wǎng)絡(luò)控制等。時(shí)滯的存在會(huì)使系統(tǒng)特性變得復(fù)雜,辨識(shí)難度增加,控制效果下降,也會(huì)導(dǎo)致整個(gè)系統(tǒng)的不穩(wěn)定。因而時(shí)滯系統(tǒng)的研究具有重要的理論研究意義和應(yīng)用價(jià)值。一方面,由于技術(shù)的缺乏或經(jīng)濟(jì)成本的限制,部分系統(tǒng)參數(shù)和狀態(tài)難以直接測(cè)量獲得;同時(shí),為了實(shí)現(xiàn)系統(tǒng)的閉環(huán)控制對(duì)參數(shù)辨識(shí)和狀態(tài)估計(jì)的快速性提出了更高的要求。另一方面,有限時(shí)間估計(jì)可在極小的有限時(shí)間內(nèi)精確地估計(jì)出系統(tǒng)狀態(tài)。因此,本課題主要針對(duì)一類線性時(shí)滯系統(tǒng)的辨識(shí)問題,基于Non-A代數(shù)法研究系統(tǒng)有限時(shí)間收斂的參數(shù)辨識(shí)法和狀態(tài)估計(jì)法,有別于一般的漸近收斂方法,從而實(shí)現(xiàn)時(shí)滯系統(tǒng)的在線辨識(shí);并將Non-A代數(shù)法運(yùn)用到無模型控制中,同時(shí)將狀態(tài)估計(jì)法運(yùn)用至?xí)r滯系統(tǒng)狀態(tài)反饋控制器中。主要內(nèi)容如下:針對(duì)一類線性時(shí)滯系統(tǒng)(時(shí)滯已知),采用Non-A代數(shù)法及算子運(yùn)算理論等研究并提出了有限時(shí)間參數(shù)辨識(shí)方法,給出了具體的參數(shù)辨識(shí)數(shù)學(xué)表達(dá)式;并通過數(shù)值算例仿真驗(yàn)證了結(jié)果的正確性以及快速性,同時(shí)與其它參數(shù)辨識(shí)法進(jìn)行研究比較。針對(duì)時(shí)滯已知、含未知參數(shù)的線性時(shí)滯系統(tǒng),基于Non-A代數(shù)法和如上所研究的有限時(shí)間參數(shù)辨識(shí)法,研究推導(dǎo)了時(shí)滯系統(tǒng)有限時(shí)間狀態(tài)估計(jì)方法,并通過數(shù)值算例仿真驗(yàn)證了基于Non-A代數(shù)法的狀態(tài)估計(jì)的有效性。基于Non-A代數(shù)法的無模型控制應(yīng)用研究中,在滑動(dòng)窗口中我們將系統(tǒng)未建模部分分別近似為常數(shù)和多項(xiàng)式兩種情況,相應(yīng)地推導(dǎo)了未建模部分的具體數(shù)學(xué)估計(jì)表達(dá)式并應(yīng)用到iPID控制中,且通過數(shù)值算例驗(yàn)證了方法的正確性。運(yùn)用有限時(shí)間狀態(tài)估計(jì)法至?xí)r滯系統(tǒng)狀態(tài)反饋控制中,以單時(shí)滯系統(tǒng)為例,基于有限時(shí)間狀態(tài)估計(jì)法設(shè)計(jì)時(shí)滯系統(tǒng)的狀態(tài)反饋控制器,并通過數(shù)值算例仿真驗(yàn)證了基于代數(shù)狀態(tài)估計(jì)法的時(shí)滯系統(tǒng)狀態(tài)反饋控制器設(shè)計(jì)的有效性。
[Abstract]:The phenomenon of time delay is widely used in practical engineering, such as intelligent transportation, aerospace and network control. The existence of time delay will make the system characteristics become more complex, the difficulty of identification will increase, and the control effect will decline, which will lead to the instability of the whole system. Therefore, the study of time-delay systems has important theoretical significance and application value. On the one hand, due to the lack of technology or the limitation of economic cost, it is difficult to obtain some system parameters and states directly. At the same time, in order to realize the closed-loop control of the system, a higher requirement is put forward for the speed of parameter identification and state estimation. On the other hand, the finite time estimation can accurately estimate the state of the system in a minimal finite time. Therefore, this paper mainly focuses on the identification problem of a class of linear time-delay systems. Based on Non-A algebra method, the parameter identification method and the state estimation method for finite time convergence of the system are studied, which are different from the general asymptotic convergence methods. In order to realize the on-line identification of time-delay systems, Non-A algebra method is applied to model-free control, and the state estimation method is applied to the state feedback controller of time-delay systems. The main contents are as follows: for a class of linear time-delay systems (time-delay is known), a finite time parameter identification method is proposed by means of Non-A algebraic method and operator operation theory, and the mathematical expression of parameter identification is given. The correctness and rapidity of the results are verified by numerical examples and compared with other parameter identification methods. For linear time-delay systems with known delays and unknown parameters, a finite time state estimation method for time-delay systems is derived based on Non-A algebraic method and finite time parameter identification method, as discussed above. The effectiveness of state estimation based on Non-A algebra method is verified by numerical simulation. In the application of model-free control based on Non-A algebraic method, in the sliding window we approximate the unmodeled part of the system to two cases: constant and polynomial. The mathematical estimation expressions of the unmodeled part are derived and applied to the iPID control, and the correctness of the method is verified by a numerical example. In this paper, a state feedback controller for time-delay systems is designed based on finite time state estimation method, which is based on the finite time state estimation method, and takes a single time-delay system as an example. The effectiveness of the state feedback controller design based on algebraic state estimation method for time-delay systems is verified by numerical simulation.
【學(xué)位授予單位】：南京理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TP13

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本文編號(hào)：2063050