廣義時變系統(tǒng)的魯棒H_∞容錯控制
發(fā)布時間:2018-03-19 05:39
本文選題:廣義時變系統(tǒng) 切入點:狀態(tài)反饋 出處:《沈陽工業(yè)大學》2017年碩士論文 論文類型:學位論文
【摘要】:在工程中的電力系統(tǒng),受限機器人運動等領(lǐng)域系統(tǒng)中最為普遍的就是廣義系統(tǒng),隨著國內(nèi)外眾多學者的努力,對于廣義系統(tǒng)的極點配置,能穩(wěn)性,能觀測性等問題進行了研究。在研究廣義時變系統(tǒng)過程中尤其是對于容錯控制問題的探索中,基于廣義系統(tǒng)的故障診斷與容錯控制領(lǐng)域仍不能滿足現(xiàn)代工業(yè)發(fā)展的實際需求,所以對廣義系統(tǒng)進行容錯控制的研究被認為是改進系統(tǒng)穩(wěn)定性的有效途徑。本文針對廣義時變系統(tǒng),研究了系統(tǒng)的容許性問題,根據(jù)Campbell受限等價變換,得到了本文中系統(tǒng)模型無脈沖的充分條件;此外,根據(jù)Lyapunov穩(wěn)定性理論同時構(gòu)建合適的Riccati方程,得到了本文系統(tǒng)模型在無故障情況下的容許性。在研究廣義時變系統(tǒng)問題時對于魯棒H_∞容錯控制問題,本文介紹了一個帶有執(zhí)行器故障的廣義時變系統(tǒng)模型,通過使用Riccati方法設計了狀態(tài)反饋的控制器,給出了一個關(guān)于魯棒H_∞容錯控制問題可解的充分條件,采用所設計的反饋控制器,使得閉環(huán)系統(tǒng)在任意執(zhí)行器出現(xiàn)部分故障時都可保持系統(tǒng)正常運行且具有容許性同時能夠滿足給定的干擾衰減性能指標。針對參數(shù)不確定廣義線性時變系統(tǒng)為研究對象,首先提出該類系統(tǒng)的魯棒可鎮(zhèn)定概念,并基于LMI方法推導出魯棒可鎮(zhèn)定的充分必要條件;在此基礎上重點研究當系統(tǒng)執(zhí)行器發(fā)生故障時的魯棒容錯控制問題,得到了系統(tǒng)在狀態(tài)向量可完全觀測和不可直接觀測兩種情形下魯棒鎮(zhèn)定的判據(jù)不等式;最后給出魯棒容錯控制器的設計方法;從文中最后的算例可以看出結(jié)論的正確性和實用性。本文的研究成果將魯棒容錯控制問題成功應用于不確定廣義線性時變系統(tǒng),為今后研究該類系統(tǒng)多約束指標的控制問題奠定了基礎
[Abstract]:In the field of power system, constrained robot movement and other fields in engineering, the most common is the generalized system. With the efforts of many scholars at home and abroad, the pole placement of the singular system can be stable. In the process of studying singular time-varying systems, especially in the exploration of fault-tolerant control, the fault diagnosis and fault-tolerant control field based on singular systems still can not meet the actual needs of modern industrial development. Therefore, the study of fault-tolerant control for singular systems is considered to be an effective way to improve the stability of the systems. In this paper, the admissibility problem of singular time-varying systems is studied. According to the Campbell constrained equivalent transformation, The sufficient conditions for the system model without impulses in this paper are obtained. In addition, according to the Lyapunov stability theory, a suitable Riccati equation is constructed simultaneously. In this paper, the admissibility of the system model without fault is obtained. For the robust H _ 鈭,
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