Title :
Orbital feedback linearization of multi-input control affine systems
Author_Institution :
Dept. of Chem. Eng., Queen´´s Univ., Kingston, Ont., Canada
Abstract :
Feedback linearization is an effective design and analysis tool used in the study of nonlinear control systems. However, cases arise where linearizability conditions cannot be met. For systems that are not linearizable by classical techniques, orbital feedback linearization (or feedback linearization by state-dependent time scaling) has been proposed to relax these conditions. In this paper, necessary and sufficient conditions for orbital feedback linearizability is presented for a class of multi-input nonlinear systems. The conditions are simple and can be checked directly from the data of the problem. Using an exterior calculus approach, a simple algorithm is developed to compute the state-dependent time scaling that yield state-feedback linearizable systems
Keywords :
control system analysis; control system synthesis; linearisation techniques; nonlinear control systems; state feedback; Pfaffian system; State-Feedback; multiple-input control affine systems; necessary conditions; nonlinear control systems; orbital feedback linearization; sufficient conditions; time scaling; Calculus; Chemical analysis; Chemical engineering; Control systems; Linear feedback control systems; Linear systems; Nonlinear control systems; Nonlinear systems; State feedback; Sufficient conditions;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946198