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
fDate :
12/1/1989 12:00:00 AM
Abstract :
Estimates are established for trajectory bounds which are easy to calculate, applicable to general controller topologies, and dependent on parameters (i.e. eigenvalues and eigenvectors) of the idealized linear system (i.e. the control system model neglecting quantizers). The approach utilizes the comparison principle in the Lyapunov theory and the properties of minimal matrix norms. The applicability of the results are demonstrated by means of a specific example
Keywords :
digital control; discrete systems; feedback; linear systems; Lyapunov theory; asymptotic trajectory bounds; comparison principle; digital control; discrete systems; eigenvalues; feedback control systems; idealised system; linear systems; minimal matrix norms; Automatic control; Difference equations; Differential equations; Digital control; Feedback control; Filtering; Linear feedback control systems; Riccati equations; Stochastic processes; Topology;
Journal_Title :
Automatic Control, IEEE Transactions on