Title :
On the analysis of a nonlinear digital control system
Author_Institution :
Dept. of Mech. Eng., British Columbia Univ., Vancouver, BC, Canada
Abstract :
A nonlinear system represented by discrete state equations is analyzed in general terms in the vicinity of a critical point. The critical point considered is where the eigenvalue crosses the unit circle on the real axis at +1. Besides the generic case, two other cases are also considered. The general results are applied to analyze a nonlinear digital control system
Keywords :
control system analysis; digital control; eigenvalues and eigenfunctions; nonlinear control systems; critical point; discrete state equations; eigenvalue; nonlinear digital control system; unit circle; Asymptotic stability; Digital control; Eigenvalues and eigenfunctions; Feedback; Jacobian matrices; Mechanical engineering; Nonlinear equations; Sampling methods; Stability analysis; Transfer functions;
Conference_Titel :
Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
Conference_Location :
Champaign, IL
DOI :
10.1109/MWSCAS.1989.101808
