基于高階固定時間觀測器的高超變體飛行器預(yù)設(shè)性能控制

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關(guān)鍵詞：高超聲速變體飛行器；高階固定時間擾動觀測器；預(yù)設(shè)有限時間函數(shù)；預(yù)設(shè)性能；抗飽和輔助函數(shù)中圖分類號：TJ765 文獻標(biāo)志碼：A DOI：10.12305/j.issn.1001-506X.2025.05.24

Abstract：In view of the problem of model uncertainty，external time-varying disturbances，control input saturation，and system state constraints in hypersonic morphing vehicles，a prescribed performance control method basedon high-order fixed-time disturbance observeris designed.Firstly，a dynamic modelof hypersonic morphing aircraft is established andanti-saturation auxiliary functions is designed considering the problem of controlsaturation.Secondly，to enhance the estimation accuracyof the comprehensive disturbance，a high-order fixed-time disturbance observer is designed by diferentiating the observer disturbance estimation term.Based on the obstacle Lyapunov functionand the prescribed finite-time convergence theory，acontroller is designed using abackstepping method toensurethatthe tracking erorof the output state converges to the origin neighborhood within the prescribed time.At the same time，to circumvent the“computational explosion”issue associated with thecontinuous differentiation of virtual control laws，the time-varying disturbance of the inner loopand the diferentiationof the virtual control laware treatedasthecomprehensive disturbanceof the innerloop，and the disturbance estimation output of the high-order fixed-timedisturbanceobserver is used as the compensation term of thecontrollaw.The Lyapunov stability theory substantiates theconvergenceand stabilityof theclosed-loop control system.Finally，the designed simulationand comparative experiments confirm that the proposed method is characterized by rapid convergence，high tracking precision，and robust stability.

Keywords：hypersonic morphing vehicle；high-order fixed-time disturbance observer；prescribed finite-time function；prescribed performance；anti-saturation auxiliary function

0 引言

高超聲速變體飛行器（hypersonicmorphingvehicle，HMV因具有打擊范圍廣、飛行速度快、突防能力強等特點而受到世界各國的廣泛關(guān)注[1]。（剩余18632字）