Title :
Estimates of asymptotic trajectory bounds in digital implementations of linear feedback control systems
Author :
Farrell, J.A. ; Michel, A.N.
Author_Institution :
Dept. of Electr. & Comput. Eng., Notre Dame Univ., IN, USA
Abstract :
The authors establish estimates of trajectory bounds which are easy to calculate, applicable to general controller topologies, and dependent on parameters (i.e. eigenvalues and eigenvectors) of the linear system (i.e. the control system model neglecting quantizers). In this approach they utilize the comparison principle in the Lyapunov theory and the properties of minimal matrix norms. The applicability of the results is demonstrated by means of a specific example
Keywords :
Lyapunov methods; discrete systems; eigenvalues and eigenfunctions; feedback; linear systems; matrix algebra; Lyapunov theory; asymptotic trajectory bounds; comparison principle; discrete systems; eigenvalues; eigenvectors; feedback control systems; linear system; minimal matrix norms; Asymptotic stability; Control systems; Digital control; Digital filters; Eigenvalues and eigenfunctions; Feedback control; Linear feedback control systems; Linear systems; Quantization; Topology;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194654
