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Output feedback pole assignment under system variation
Author(s) -
Lee Gordon K. F.,
Godbout Louis F.
Publication year - 1983
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660040306
Subject(s) - control theory (sociology) , compensation (psychology) , constant (computer programming) , full state feedback , multivariable calculus , probabilistic logic , pole–zero plot , measure (data warehouse) , variation (astronomy) , computer science , control engineering , control (management) , engineering , transfer function , psychology , physics , electrical engineering , artificial intelligence , database , astrophysics , psychoanalysis , programming language
Abstract The design of multivariable control systems using pole assignment has resulted in much research. Owing to system or parameter variation, the initial compensator design for constant conditions may lead to undesirable responses. Hence, it is important to design compensator structures which maintain desired pole locations under such changes. This paper presents a design methodology for output feedback pole assignment when there is system variation. A performance measure is formulated which represents a squared‐error between desired pole locations and the actual pole locations generated via compensation under probabilistic variations. Optimization of this measure requires constructing gradient matrices necessary to obtain the compensator parameters. Both constant output feedback and dynamic compensation are discussed for pole placement, and the unstable Boeing‐Vertol CH‐46 helicopter system is considered to illustrate the design algorithms.