Sufficient and Necessary Conditions for the Solvability of the State Feedback Regulation Problem
S. Boulite, H. Bouslous, L. Maniar, R. Saij
TL;DR
This paper establishes necessary and sufficient conditions for solving the state feedback output regulation problem in infinite-dimensional linear systems, linking it to linear regulator equations and applying it to polynomial stable SISO systems.
Contribution
It provides a complete characterization of the solvability of the SFRP for infinite-dimensional systems under polynomial stabilizability, which was previously not fully understood.
Findings
SFRP solvability characterized by linear regulator equations
Conditions established for infinite-dimensional systems
Application to polynomial stable SISO systems
Abstract
In this paper, we discuss the state feedback output regulation problem (SFRP) for infinite-dimensional linear control systems with infinite-dimensional exosystems. Under the polynomial stabilizability assumption, sufficient and necessary conditions are given for the solvability of the SFRP. The solvability of this problem is characterized in terms of the solvability of a pair of linear regulator equations. An application of the solvability of the SFRP for polynomial stable SISO system is given.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Stability and Control of Uncertain Systems · Quantum chaos and dynamical systems