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A delta transform approach to loop gain‐phase shaping design of robust digital control systems
Author(s) -
Punyko A. J.,
Bailey F. N.
Publication year - 1994
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4590040106
Subject(s) - control theory (sociology) , parametric statistics , digital control , discrete time and continuous time , robust control , sampling (signal processing) , computer science , automatic gain control , phase (matter) , control (management) , control system , mathematics , engineering , electronic engineering , bandwidth (computing) , telecommunications , statistics , amplifier , chemistry , electrical engineering , organic chemistry , artificial intelligence , detector
Abstract This paper addresses the existence of loop gain‐phase shaping (LGPS) solutions for the design of robust digital control systems for SISO, minimum‐phase, continuous‐time processes with parametric uncertainty. We develop the frequency response properties of LGPS for discrete‐time systems using the Δ‐transform, a transform method that applies to both continuous‐time and discrete‐time systems. A theorem is presented which demonstrates that for reasonable specifications there always exists a sampling period such that the robust digital control problem has a solution. Finally, we offer a procedure for estimating the maximum feasible sampling period for LGPS solutions to robust digital control problems.