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具有時滯的主動懸架非脆弱H∞/L2-L∞靜態(tài)輸出反饋控制
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國家高技術(shù)研究發(fā)展計劃(863計劃)資助項目(2009AA044403)和高等學校博士學科點專項科研基金資助項目(20120061110023)


Non-fragile H∞/L2-L∞ Static Output Feedback Control of Active Suspension with Actuator Input Delay
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    摘要:

    提出了一種綜合考慮系統(tǒng)輸入時滯和控制器攝動的非脆H∞/L2-L∞靜態(tài)輸出反饋控制器的設(shè)計方法,并用于車輛主動懸架設(shè)計,。針對懸架設(shè)計要求,,分別用H∞和L2-L∞范數(shù)反映乘坐舒適性及時域硬約束要求,。通過采用一個時滯相關(guān)Lyapunov函數(shù)分別獲得了時滯相關(guān)非脆弱靜態(tài)輸出反饋H∞控制器和L2-L∞控制器的雙線性矩陣不等式(BMI)存在條件,。通過將粒子群優(yōu)化(PSO)和差分進化(DE)的混合算法與線性矩陣不等式(LMI)方法相結(jié)合,,求解具有BMI約束的優(yōu)化問題,。仿真結(jié)果表明,,在存在輸入時滯和控制器攝動的情況下,,主動懸架仍然能夠保證自身的性能,。

    Abstract:

    This paper presents an approach to design non-fragile H∞/L2-L∞ static output feedback control applied in design of vehicle active suspension, by considering input time-delay of the system and parameter perturbation of the controller. According to suspension design requirements, the H∞ and L2-L∞ norms are used respectively to reflect ride comfort and time-domain hard constraints. By employing a delay-dependent Lyapunov function, existence conditions of delay-dependent non-fragile static output feedback H∞ controller and L2-L∞ controller are derived respectively in terms of the feasibility of bilinear matrix inequalities (BMIs). Then, a new procedure based on linear matrix inequality (LMI) optimization and a hybrid algorithm of the particle swarm optimization (PSO) and differential evolution (DE) is used to solve an optimization problem with BMI constraints. Simulation results show that the designed active suspension system can guarantee their own performance.

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孔英秀,趙丁選,楊彬,韓成浩,韓京元.具有時滯的主動懸架非脆弱H∞/L2-L∞靜態(tài)輸出反饋控制[J].農(nóng)業(yè)機械學報,2014,45(8):1-7. Kong Yingxiu, Zhao Dingxuan, Yang Bin, Han Chenghao, Han Jingyuan. Non-fragile H∞/L2-L∞ Static Output Feedback Control of Active Suspension with Actuator Input Delay[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(8):1-7.

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  • 收稿日期:2013-09-27
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  • 在線發(fā)布日期: 2014-08-10
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