Title :
Extension of control Lyapunov functions to time-delay systems
Author :
Jankovic, Mrdjan
Author_Institution :
Ford Res. Lab., Dearborn, MI, USA
Abstract :
The concept of control Lyapunov function has been proven a useful tool for designing robust control laws for nonlinear systems. This concept has been extended to time-delay systems in the form of control Lyapunov Razumikhin functions. We further develop this extension by introducing control Lyapunov Krasovsky functionals and show their use for robust stabilization of time-delay nonlinear systems. To further motivate the new concept we establish robustness properties for several control laws based on control Lyapunov Krasovsky functionals
Keywords :
delay systems; functional equations; functions; nonlinear control systems; robust control; control Lyapunov Krasovsky functionals; control Lyapunov Razumikhin functions; control Lyapunov functions; robust control laws; robust stabilization; time-delay systems; Asymptotic stability; Closed loop systems; Control systems; Delay effects; Nonlinear control systems; Nonlinear systems; Optimal control; Robust control; Robustness; Uncertainty;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914599
