Accession Number : AD0610099

Title :   LIMIT CYCLES IN A CERTAIN CLASS OF SAMPLIEDDATA CONTROL SYSTEMS,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : WERNER,Ronald A.

Report Date : DEC 1964

Pagination or Media Count : 97

Abstract : This paper discusses periodic, unforced solutions (called limit cycle solutions) to the state and output equations of a certain class of nonlinear sampled-data control systems. The class of systems consists of a linear plant, a single nonlinearity, a sample and hold element and a single feedback loop. Two different methods are given for determining the possible existence and the solutions for the limit cycles. An approximate method for determining possible existence and output solutions for limit cycles is also given. Finally, a certain kind of stability of limit cycle solutions is defined, and sufficient conditions for the stability and instability of limit cycles are developed. (A limit cycle is defined as a periodic trajectory in state space; i.e., it is an unforced, periodic, steady state solution to the state space equations of the system.)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL ANALYSIS), (*LINEAR SYSTEMS, MATHEMATICAL ANALYSIS), (*NONLINEAR SYSTEMS, MATHEMATICAL ANALYSIS), SAMPLING, DIFFERENTIAL EQUATIONS, FEEDBACK, STABILITY, TRAJECTORIES

Distribution Statement : APPROVED FOR PUBLIC RELEASE