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Constraint Enforcement via Tube-Based MPC Exploiting Switching Restrictions

Publication ,  Journal Article
Lavaei, R; Hall, R; Danielson, C; Bridgeman, L
Published in: IEEE Control Systems Letters
November 1, 2021

Dwell-time restrictions are critical to overcoming infeasibility caused by arbitrary switches in constrained time-dependent switched systems, especially when the system equilibrium is mode dependent. However, existing approaches to enforce constraints are not applicable in presence of disturbances. In this letter, a recursively feasible switched tube-based MPC (TMPC) is designed for constrained linear modes subject to polytopic-bounded additive disturbances. Control-invariant sets that are robust to mode switches and disturbances are proposed to select terminal constraints and identify feasible initial states. The method is distinguished by the admission of mode-dependent equilibria, user-specified prediction horizons, non-reliance on a preview of the switching signal, and online computations equal to that of a non-switched TMPC.

Duke Scholars

Published In

IEEE Control Systems Letters

DOI

EISSN

2475-1456

Publication Date

November 1, 2021

Volume

5

Issue

5

Start / End Page

1789 / 1794

Related Subject Headings

  • 4007 Control engineering, mechatronics and robotics
 

Citation

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Lavaei, R., Hall, R., Danielson, C., & Bridgeman, L. (2021). Constraint Enforcement via Tube-Based MPC Exploiting Switching Restrictions. IEEE Control Systems Letters, 5(5), 1789–1794. https://doi.org/10.1109/LCSYS.2020.3045391
Lavaei, R., R. Hall, C. Danielson, and L. Bridgeman. “Constraint Enforcement via Tube-Based MPC Exploiting Switching Restrictions.” IEEE Control Systems Letters 5, no. 5 (November 1, 2021): 1789–94. https://doi.org/10.1109/LCSYS.2020.3045391.
Lavaei R, Hall R, Danielson C, Bridgeman L. Constraint Enforcement via Tube-Based MPC Exploiting Switching Restrictions. IEEE Control Systems Letters. 2021 Nov 1;5(5):1789–94.
Lavaei, R., et al. “Constraint Enforcement via Tube-Based MPC Exploiting Switching Restrictions.” IEEE Control Systems Letters, vol. 5, no. 5, Nov. 2021, pp. 1789–94. Scopus, doi:10.1109/LCSYS.2020.3045391.
Lavaei R, Hall R, Danielson C, Bridgeman L. Constraint Enforcement via Tube-Based MPC Exploiting Switching Restrictions. IEEE Control Systems Letters. 2021 Nov 1;5(5):1789–1794.

Published In

IEEE Control Systems Letters

DOI

EISSN

2475-1456

Publication Date

November 1, 2021

Volume

5

Issue

5

Start / End Page

1789 / 1794

Related Subject Headings

  • 4007 Control engineering, mechatronics and robotics