Article
IEEE TRANSACTIONS ON AUTOMATIC CONTROL  (2009)

Performance bounds in ?? optimal control for stable SISO plants with arbitrary relative degree

Peters A.A.; Salgado M.E.

Keywords: systems, performance, plants, expression, optimization, phase, time, polynomials, bounds, eigenvalue, scalar, control, closed-form, parameterization, discrete, eigenvalues, zero, continuous, expressions, eigenfunctions, and, problem, digital, Optimal, analytic, relative, Degrees, characteristic, H-infinity, Discrete-time, controls, Non-minimum, Youla

Abstract

This note deals with performance bounds for the ?? -optimal control of discrete-time LTI plants. The case studied corresponds to stable scalar plants with arbitrary relative degree but no finite non-minimum phase zero. By using Nehari's Theorem and a reformulation of the standard Youla Parameterization a closed-form expression for the characteristic polynomial of the associated eigenvalue problem is obtained. Also, we derive an analytic expression for the optimal ?? cost as a function of the plant relative degree. © 2009 IEEE.

Más información

Título de la Revista: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volumen: 54
Número: 8
Editorial: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Fecha de publicación: 2009
Página de inicio: 1987
Página final: 1990
URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-68949180094&partnerID=q2rCbXpz