【摘要】：隨著計算機網(wǎng)絡(luò)的廣泛應(yīng)用和微電子技術(shù)的不斷提高,近幾年來,一種具有大范圍、分布式控制方式的網(wǎng)絡(luò)控制系統(tǒng)誕生了。但是網(wǎng)絡(luò)的引入不僅會降低數(shù)據(jù)信息的精確性和可靠性,而且由于帶寬資源的有限性,系統(tǒng)中的信息不可避免的會出現(xiàn)網(wǎng)絡(luò)時延、數(shù)據(jù)丟包、錯序等問題,這些問題的存在會降低控制系統(tǒng)的性能甚至失穩(wěn)。量化器在網(wǎng)絡(luò)控制系統(tǒng)中的引入,大大提高了數(shù)據(jù)傳輸能力,相關(guān)的研究成果有很多,絕大多數(shù)文獻(xiàn)都采用周期采樣方式,但是這種方式會發(fā)送“不需要”的控制信息,占用網(wǎng)絡(luò)資源。于是,專家學(xué)者們提出了新的觸發(fā)機制,即事件觸發(fā),它能有效減少控制任務(wù)的執(zhí)行次數(shù),因而引起了廣泛關(guān)注,然而研究同時考慮量化和事件觸發(fā)機制的文獻(xiàn)甚少。另外,跳變系統(tǒng)模型廣泛存在于大量的實際控制系統(tǒng)中,研究被控對象為Markov跳變模型的網(wǎng)絡(luò)控制系統(tǒng)意義重大�；谝陨戏治�,本文基于事件觸發(fā)方式,引入對數(shù)量化器,設(shè)計了基于連續(xù)Markov跳變系統(tǒng)的量化H_∞控制器,量化H_∞濾波器,研究了量化保性能控制。論文的主要內(nèi)容如下:1.在傳感器-控制器通道和控制器-執(zhí)行器通道均存在時延和量化的情況下,基于事件觸發(fā)機制,研究了一類Markov跳變系統(tǒng)的量化H_∞控制問題。為了減少網(wǎng)絡(luò)中無效的數(shù)據(jù)傳輸,首先在狀態(tài)反饋通道引入事件發(fā)生器,數(shù)據(jù)經(jīng)事件發(fā)生器“過濾”后傳送給量化器。充分考慮了網(wǎng)絡(luò)時變時延,利用時滯分割方法,把區(qū)間[8),]分成N個子區(qū)間,建立閉環(huán)系統(tǒng)數(shù)學(xué)模型。通過構(gòu)造Lyapunov泛函,采用自由權(quán)矩陣法處理交叉項,減少系統(tǒng)保守性,得到的穩(wěn)定性條件滿足期望的H_∞性能指標(biāo),并討論了如何設(shè)計相應(yīng)的H_∞控制器。最后,控制算法的有效性通過一個數(shù)值例子進(jìn)行了驗證。2.研究了一類Markov跳變系統(tǒng)的量化H_∞濾波問題。為了減少通信資源浪費,首先給出了一種事件觸發(fā)機制,其觸發(fā)系數(shù)隨模態(tài)切換而變化。采用時滯分割法建立包含時延、量化、事件觸發(fā)參數(shù)的濾波誤差系統(tǒng)模型,基于新的Markov跳變系統(tǒng),構(gòu)造Lyapunov泛函,采用交互式凸組合方法代替自由權(quán)矩陣法,減少計算復(fù)雜性。得到的穩(wěn)定性條件滿足H_∞性能指標(biāo),在此基礎(chǔ)上設(shè)計了H_∞濾波器參數(shù)。最后的仿真中分析了量化密度對最大時延上界的影響。3.通過在采樣器端引入事件發(fā)生器,研究了網(wǎng)絡(luò)化跳變系統(tǒng)的量化保性能控制問題。為了節(jié)約網(wǎng)絡(luò)資源,利用兩個對數(shù)量化器分別編碼狀態(tài)反饋信號和控制輸入信號,結(jié)合扇形有界法,把閉環(huán)事件觸發(fā)控制系統(tǒng)轉(zhuǎn)化成等價的時間滯后系統(tǒng)。充分考慮雙通道時延的影響,通過構(gòu)造Lyapunov泛函得到由一組性矩陣不等式描述的系統(tǒng)穩(wěn)定性條件,并進(jìn)一步設(shè)計控制器,所設(shè)計的控制器在保證系統(tǒng)穩(wěn)定的同時滿足給定的保性能值。
[Abstract]:With the wide application of computer network and the continuous improvement of microelectronic technology, in recent years, a network control system with a wide range of distributed control mode was born. But the introduction of network will not only reduce the accuracy and reliability of data information, but also due to the limited bandwidth resources, the information in the system will inevitably appear network delay, data packet loss, misordering and other problems. The existence of these problems will reduce the performance of the control system and even instability. The introduction of quantizer in the network control system has greatly improved the data transmission ability. There are many related research results, most of the literature uses periodic sampling method, but this way will send "unnecessary" control information. Occupy network resources. As a result, experts and scholars have proposed a new trigger mechanism, event triggering, which can effectively reduce the number of execution of control tasks, which has attracted much attention. However, there are few literatures that consider both quantization and event triggering mechanisms. In addition, the jump system model widely exists in a large number of practical control systems, so it is of great significance to study the networked control system whose controlled object is Markov jump model. Based on the above analysis, a quantized H _ 鈭，

本文編號：2137641