SCRS Conference Proceedings on Intelligent Systems
Stabilizing Constrained Control for Discrete-Time Multivariable Linear Systems via Positive Polyhedral Invariant Sets
Authors: Bourebia Ouassila
Publishing Date: 24-04-2022
ISBN: 978-93-91842-08-6
Abstract
In this work we propose a numerical method to compute stabilizing state feedback control laws and associated polyhedral invariant sets for multivariable discrete systems. An MPC-based dual mode strategy and backward recursion from invariant set approach guarantees the feasibility and stability of the controller are investigated. The explicit solution subdivides the state space into regions, for each section, the set of admissible control laws is determined, the objective is to determine the region containing the admissible solutions starting the terminal region and backtracking. An illustrative example, showing the effectiveness of the proposed methods, is presented.
Keywords
Polyhedral, Invariant sets, Feasibility, Admissible solution, Dual mode.
Cite as
Bourebia Ouassila, "Stabilizing Constrained Control for Discrete-Time Multivariable Linear Systems via Positive Polyhedral Invariant Sets", In: Raju Pal and Praveen Kumar Shukla (eds), SCRS Conference Proceedings on Intelligent Systems, SCRS, India, 2022, pp. 231-237. https://doi.org/10.52458/978-93-91842-08-6-22