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Discrete‐time loop transfer recovery via generalized sampled‐data hold functions based compensator
Author(s) -
Er M. J.,
Anderson Brian D. O.
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.4590040604
Subject(s) - control theory (sociology) , linear quadratic gaussian control , minimum phase , robustness (evolution) , discretization , transfer function , discrete time and continuous time , computer science , mathematics , sampled data systems , gaussian , mathematical optimization , control system , optimal control , control (management) , engineering , mathematical analysis , biochemistry , chemistry , statistics , physics , quantum mechanics , artificial intelligence , electrical engineering , gene
Loop transfer recovery (LTR) techniques are known to enhance the input or output robustness properties of linear quadratic gaussian (LQG) designs. One restriction of the existing discrete‐time LQG/LTR methods is that they can obtain arbitrarily good recovery only for minimum‐phase plants. A number of researchers have attempted to devise new techniques to cope with non‐minimum‐phase plants and have achieved some degrees of success. 6‐9 Nevertheless, their methods only work for a restricted class of non‐minimum‐phase systems. Here, we explore the zero placement capability of generalized sampled‐data hold functions (GSHF) developed in Reference 14 and show that using the arbitrary zero placement capability of GSHF, the discretized plant can always be made minimum‐phase. As a consequence, we are able to achieve discrete‐time perfect recovery using a GSHF‐based compensator irrespective of whether the underlying continuous‐time plant is minimum‐phase or not.