Accession Number : ADA310442

Title :   Doctoral Research in Nonlinear Control Systems.

Descriptive Note : Final technical rept. 15 Aug 92-14 Aug 95,

Corporate Author : WASHINGTON UNIV ST LOUIS MO DEPT OF SYSTEMS SCIENCE AND MATHEMATICS

Personal Author(s) : Byrnes, C. I.

PDF Url : ADA310442

Report Date : 29 APR 1996

Pagination or Media Count : 3

Abstract : The design of feedback laws for systems characterized by complicated nonlinear dynamical behavior is a challenging research task which has attracted increasing interest in recent years. In the last ten years, the development of specific methodologies for the design of feedback laws in order to control systems described by nonlinear mathematical models has experienced major developments. Towards the end of the decade a renewed interest took place in the longstanding problem of asymptotic stabilization, leading to the development of systematic methods for the design of (locally or globally) stabilizing as well as adaptively stabilizing feedback laws for selected classes and/or interconnected structures of systems. In the meanwhile, methods of the solution of an outstanding problem of major engineering interest, the asymptotic tracking of prescribed reference signals as well as the attenuation (below a specified threshold) of exogenous disturbances, gradually became available. There are currently two approaches to the problem of tracking/attenuation of exogenous inputs in a nonlinear system; one is the nonlinear extension of the classical servomechanism problem of linear system theory, in which the task of the regulator is to achieve asymptotic decay of a tracking error (the difference between the desired behavior and the actual behavior of the controlled variables). The other one is the nonlinear equivalent of the so-called H infinity-optimal control problem of linear system theory, in which the task of the regulator is to minimize the maximal amplitude of the frequency response of the system.

Descriptors :   *MATHEMATICAL MODELS, *NONLINEAR SYSTEMS, *SYSTEMS ANALYSIS, OPTIMIZATION, MATRICES(MATHEMATICS), NONLINEAR DIFFERENTIAL EQUATIONS, FEEDBACK, PARTIAL DIFFERENTIAL EQUATIONS, CONTROL THEORY, FREQUENCY RESPONSE, ERROR DETECTION CODES, RICCATI EQUATION.

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE