Brief paper: Constrained linear system with disturbance: Convergence under disturbance feedback

Authors:
Chen Wang;Chong-Jin Ong;Melvyn Sim
Affiliations:
Department of Mechanical Engineering, National University of Singapore, EA-07-08, 9 Engineering Drive 1, 117576, Singapore;Department of Mechanical Engineering, National University of Singapore, EA-07-08, 9 Engineering Drive 1, 117576, Singapore and Singapore-MIT Alliance, E4-04-10, 4 Engineering Drive 3, 117576, Sing ...;Business School, National University of Singapore, BIZ1-02-01, 1 Business Link, 117592, Singapore and Singapore-MIT Alliance, E4-04-10, 4 Engineering Drive 3, 117576, Singapore
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

This paper proposes a disturbance-based control parametrization under the Model Predictive Control framework for constrained linear discrete time systems with bounded additive disturbances. The proposed approach has the same feasible domain as that obtained from parametrization over the family of time-varying state feedback policies. In addition, the closed-loop system is stable in the sense that the state converges to a bounded set that has a characterization determined by a feedback gain.