講座主題：Saturated boundary feedback stabilization for a non-uniform Timoshenko beam with disturbances and uncertainties
專家姓名：韓忠杰
工作單位：天津大學(xué)
講座時間：2024年11月12日08:40-09:20
講座地點：數(shù)學(xué)院大會議室341
主辦單位：煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
This talk is concerned with the saturated feedback stabilization for a nonuniform Timoshenko beam with boundary control matched unknown internal uncertainties and external disturbances. An infinite-dimensional disturbance estimator without involving high gain is designed to estimate the total disturbances. By compensating/canceling the total disturbances in the feedback loop and combining with a collocated stabilizing controller without uncertainty, we propose an unsaturated feedback control to exponentially stabilize the system. Under the boundedness assumption on the magnitudes of the total disturbances, we further propose a saturated control to asymptotically stabilize the system. In addition to the actuator amplitude saturation, the control energy consumption is also reduced sharply. The well-posedness and stability of the closed-loop system are proved mainly by the semigroup theories and the frequency-domain method. Some numerical simulations are carried out to validate the effectiveness of the proposed control strategy.
主講人介紹：
韓忠杰，天津大學(xué)數(shù)學(xué)學(xué)院教授，博士生導(dǎo)師，主要從事分布參數(shù)系統(tǒng)控制理論方面的研究。主要成果發(fā)表在SIAM Journal on Control and Optimization, SIAM Journal on Applied Mathematics, IEEE Transactions on Automatic Control, Journal of Differential Equations, ESAIM - Control Optimisation and Calculus of Variations等控制理論及應(yīng)用數(shù)學(xué)相關(guān)學(xué)術(shù)期刊，主持國家自然科學(xué)基金項目多項。
