Delay-adaptive control of first-order hyperbolic partial integro-differential equations

被引:4
作者
Wang, Shanshan [1 ]
Qi, Jie [2 ]
Krstic, Miroslav [3 ]
机构
[1] Univ Shanghai Sci & Technol, Dept Control Sci & Engn, Shanghai, Peoples R China
[2] Donghua Univ, Coll Informat Sci & Technol, Shanghai, Peoples R China
[3] Univ Calif San Diego, Dept Mech & Aerosp Engn, San Diego, CA USA
基金
上海市自然科学基金; 中国国家自然科学基金;
关键词
delay-adaptive control; first-order hyperbolic PIDE; infinite-dimensional backstepping; input delay; UNSTABLE PARABOLIC PDES; BOUNDARY CONTROL; PREDICTOR FEEDBACK; OUTPUT REGULATION; STABILIZATION; SYSTEMS; ACTUATOR; CONTROLLABILITY;
D O I
10.1002/rnc.7257
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We develop a delay-adaptive controller for a class of first-order hyperbolic partial integro-differential equations with an unknown input delay. By employing a transport PDE to represent delayed actuator states, the system is transformed into a transport partial differential equation with unknown propagation speed cascaded with a PIDE. A parameter update law is designed using a Lyapunov argument and the infinite-dimensional backstepping technique to establish global stability results. Subsequently, the effectiveness of the proposed approach was validated through numerical simulations.
引用
收藏
页码:6784 / 6803
页数:20
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