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H ∞ control for a singularly perturbed aircraft model
Author(s) -
Vian John L.,
Sawan M. Edwin
Publication year - 1994
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.4660150406
Subject(s) - control theory (sociology) , norm (philosophy) , singular perturbation , controller (irrigation) , h infinity methods in control theory , state space , mathematics , state (computer science) , function (biology) , domain (mathematical analysis) , control (management) , computer science , mathematical analysis , algorithm , evolutionary biology , agronomy , statistics , artificial intelligence , political science , law , biology
State space solutions for H ∞ control are formulated for composite state feedback control of singularly perturbed systems. Scaled frequency domain realizations of dynamic systems are developed and used to generate H ∞ solutions that approach the H 2 solution as an H ∞‐norm design parameter is allowed to approach infinity. The realizations also account for non‐orthogonal cost function terms that occur naturally in the slow subsystem design for singularly perturbed systems. Traditional H 2 results are also provided. The formulation is applied to compute reduced, composite and full‐order controller gains for the longitudinal dynamics of an F‐8 aircraft.