Reduced Complexity Nonlinear H∞ Controllers: Relation to Certainty Equivalence

Reduced Complexity Nonlinear H∞ Controllers: Relation to Certainty Equivalence

Title : Reduced Complexity Nonlinear H∞ Controllers: Relation to Certainty Equivalence
Authors :
Patel, Nital S
Baras, John, S.
Conference : IFAC’96 Vol. E, pp. 383-38
Date: June 30 - July 05, 1996

This paper considers the problem of constructing reduced complexity controllers for output feedback nonlinear H∞ control. Conditions are obtained under which such controllers achieve the closed loop performance requirements. These controllers are non-optimal in general. However, in case optimality holds, they are in fact the certainty equivalence controllers. Conditions under which certainty equivalence holds are simplified and linked to the solvability of a functional equation.

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