近似離散瞬時(shí)最優(yōu)控制算法推導(dǎo)及穩(wěn)定性分析
發(fā)布時(shí)間:2018-12-11 00:06
【摘要】:基于瞬時(shí)最優(yōu)化控制,推導(dǎo)了近似離散瞬時(shí)最優(yōu)化控制算法,采用李雅普諾夫第二方法給出了算法穩(wěn)定性的充分條件。選擇20層的Benchmark II模型及El波作為數(shù)值計(jì)算模型和輸入的地震荷載,數(shù)值分析結(jié)果表明:在給定的權(quán)系數(shù)矩陣下,受控系統(tǒng)是穩(wěn)定的;與未施加控制力時(shí)的結(jié)構(gòu)響應(yīng)相比,連續(xù)系統(tǒng)瞬時(shí)最優(yōu)化控制與近似離散瞬時(shí)最優(yōu)控制均有較好的控制效果,尤其是位移與速度響應(yīng)的控制效果明顯;結(jié)構(gòu)在連續(xù)系統(tǒng)瞬時(shí)最優(yōu)化控制與近似離散瞬時(shí)最優(yōu)化控制下,結(jié)構(gòu)響應(yīng)基本一致。
[Abstract]:Based on the instantaneous optimal control, the approximate discrete instantaneous optimal control algorithm is derived, and the sufficient conditions for the stability of the algorithm are given by using Lyapunov's second method. The 20-story Benchmark II model and El wave are selected as the numerical calculation model and the input seismic load. The numerical results show that the controlled system is stable under the given weight coefficient matrix; Compared with the structural response without control force, the instantaneous optimal control of continuous system and the approximate discrete instantaneous optimal control have better control effect, especially the control effect of displacement and velocity response. The structure response is basically the same under the instantaneous optimal control of continuous system and the approximate discrete instantaneous optimal control.
【作者單位】: 西南交通大學(xué)力學(xué)與工程學(xué)院;
【分類號(hào)】:TU311.3
[Abstract]:Based on the instantaneous optimal control, the approximate discrete instantaneous optimal control algorithm is derived, and the sufficient conditions for the stability of the algorithm are given by using Lyapunov's second method. The 20-story Benchmark II model and El wave are selected as the numerical calculation model and the input seismic load. The numerical results show that the controlled system is stable under the given weight coefficient matrix; Compared with the structural response without control force, the instantaneous optimal control of continuous system and the approximate discrete instantaneous optimal control have better control effect, especially the control effect of displacement and velocity response. The structure response is basically the same under the instantaneous optimal control of continuous system and the approximate discrete instantaneous optimal control.
【作者單位】: 西南交通大學(xué)力學(xué)與工程學(xué)院;
【分類號(hào)】:TU311.3
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