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Quadratically saturated regulator for constrained linear systems

delete1996-07-01
delete10
PRE
AI
E
Erik I. Verriest *
G
G.A. Pajunen
DOI：10.1109/9.508902delete
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Abstract

Abstract

En 中文
The problem of stabilization and null-controllability of open-loop unstable discrete-time multi-input systems with constraints on the inputs and the controls is addressed in this paper, First necessary and sufficient conditions for solvability of the problem are derived, They guarantee the existence of a linear controller leaving the state constraint set for the closed-loop system positively invariant, An optimal control law is computed, and the admissible set of initial conditions is given such that along trajectories of the closed-loop system the state and input constraints are satisfied, Then the domain of feasible initial conditions is enlarged using a saturating control if such is feasible.
Keywords:
DYNAMICAL-SYSTEMS
BOUNDED CONTROLS
ADMISSIBLE-SETS
STATES
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Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

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