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Optimal liner regualtion with hard constraints
Author(s) -
Ajbar Hamid,
Keenan Michael R.,
Kantor Jeffrey C.
Publication year - 1995
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690411110
Subject(s) - multivariable calculus , control theory (sociology) , impulse response , set (abstract data type) , transfer function , linear system , computer science , mathematical optimization , controller (irrigation) , process (computing) , impulse (physics) , frame (networking) , domain (mathematical analysis) , mathematics , control (management) , control engineering , engineering , biology , programming language , operating system , mathematical analysis , agronomy , telecommunications , physics , electrical engineering , quantum mechanics , artificial intelligence
An l ∞ approach to the design of linear multivariable controllers for descrete‐time systems with hard time‐domain constraints is presented. The notion of polar of the set of the exogenous inputs is used to parameterize the set of closed‐loop transfer functions that meet regulation constraints. The constraints may include magintude and rate bounds on all relevant process variables, including the control inputs. Solutions for optimal l ∞ design are found by solving a linear program for the impulse‐response coefficients of the controllers, or for the coefficients of an ARMA controller model. Using these formulation, s and analytical frame work is provided for delineating the tradeoffs that govern design of linear control systems.