Title :
Digital control of a nonlinear system and periodic behaviour
Author_Institution :
Dept. of Mech. Eng., British Columbia Univ., Vancouver, BC, Canada
Abstract :
The digital control of a nonlinear system is analyzed in general terms. The analysis considers the case of a pair of branches of the root loci crossing the unit circle. The crossing occurs as the eigenvalues of the Jacobian of the discrete-time system are varied depending on, for example, the sampling period, and the crossing is assumed to take place anywhere on the unit circle except on the real axis. Results are presented for a particular example
Keywords :
control system analysis; digital control; discrete time systems; nonlinear systems; root loci; Jacobian; digital control; discrete-time system; eigenvalues; nonlinear system; root loci crossing; sampling period; Bifurcation; Control systems; Digital control; Eigenvalues and eigenfunctions; Jacobian matrices; Mechanical engineering; Nonlinear systems; Perturbation methods; Sampling methods; Transfer functions;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203959
