Title :
Dynamic inversion for nonaffine-in-control systems via time-scale separation: part I
Author :
Hovakimyan, Naira ; Lavretsky, Eugene ; Sasane, Amol J.
Author_Institution :
Aerosp. & Ocean Eng., Virginia Polytech Inst. & State Univ., Blacksburg, VA, USA
Abstract :
This paper presents a new method for approximate dynamic inversion for nonaffine-in-control systems via time-scale separation. The control signal is sought as a solution of "fast" dynamics and is shown to asymptotically stabilize the original nonaffine system. Sufficient conditions are formulated, which are consistent with the assumptions of Tikhonov\´s theorem in singular perturbations theory. Several examples illustrate the theoretical results.
Keywords :
asymptotic stability; control system synthesis; feedback; linearisation techniques; nonlinear control systems; nonlinear dynamical systems; singularly perturbed systems; control signal; dynamic inversion; feedback linearization; nonaffine-in-control systems; singular perturbations theory; time-scale separation; Aerodynamics; Aerospace materials; Control design; Control systems; Force feedback; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Sufficient conditions;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470522
