Title :
Robust stability of Lure systems with multiple nonlinearities
Author :
Miyagi, H. ; Yamashita, K.
Author_Institution :
Dept. of Electron. & Inf. Eng., Ryukyu Univ., Okinawa, Japan
fDate :
6/1/1992 12:00:00 AM
Abstract :
The stability of a perturbed Lure system is studied through the Popov-Lyapunov approach. The multivariable Popov criterion is used to guarantee the stability of the nominal system, and then the stability of the perturbed system is investigated by using the Lyapunov function developed for the nominal system. A robustness measure which gives some bounds on allowable perturbations for the system is derived, evading the use of norm forms. A feature of the proposed measure is that the observation of the range for individual parameter deviation is feasible
Keywords :
Lyapunov methods; control nonlinearities; control system analysis; nonlinear control systems; stability; Popov-Lyapunov approach; multiple nonlinearities; multivariable Popov criterion; parameter deviation; perturbations; perturbed Lure system; robustness; stability; Differential equations; Eigenvalues and eigenfunctions; Linear systems; Mathematics; Robust stability; Robustness; State-space methods; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
