Title :
Robust state feedback control of LTV systems: Nonlinear is better than linear
Author :
Bianchini, F. ; Megretski, A.
Author_Institution :
Dipt. di Mat. e Inf., Univ. di Udine, Udine, Italy
Abstract :
Examples of linear control systems with fast time-varying uncertain coefficients arc given, which can be stabilized by a nonlinear memoryless state feedback, but cannot be stabilized by a linear time invariant dynamic state feedback. By means of one of these examples we show that the closed-loop quadratic stability margin may be infinitely smaller than the actual stability margin.
Keywords :
closed loop systems; linear systems; memoryless systems; robust control; stability; state feedback; time-varying systems; uncertain systems; LTV systems; closed-loop quadratic stability margin; linear control systems; nonlinear memoryless state feedback; robust state feedback control; time-varying uncertain coefficients; Linear systems; Lyapunov methods; Robustness; State feedback; Time-varying systems; Uncertainty; Lyapunov functions; Nonlinear Control; Parametric uncertainties; Robust stabilization; State feedback;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6