Quadratic MPC with ℓ₀-input constraint

Title: Quadratic MPC with ℓ₀-input constraint
Creator: Aguilera, Ricardo P.; Delgado, Ramón A.; Dolz, Daniel; Agüero, Juan C.
Relation: 19th World Congress of the International Federation of Automatic Control (IFAC 2014). Proceedings of the 19th IFAC World Congress, 2014 (Cape Town, South Africa 24-29 August, 2014) p. 10888-10893
Publisher Link: http://dx.doi.org/10.3182/20140824-6-ZA-1003.01844
Publisher: International Federation of Automatic Control (IFAC)
Resource Type: conference paper
Date: 2014
Description: In this paper we propose a novel quadratic model predictive control technique that constrains the number of active inputs at each control horizon instant. This problem is known as sparse control. We use an iterative convex optimization procedure to solve the corresponding optimization problem subject to sparsity constraints defined by means of the ℓ₀-norm. We also derive a sufficient condition on the minimum number of active of inputs that guarantees the exponential stability of the closed-loop system. A simulation example illustrates the benefits of the control design method proposed in the paper.
Subject: quadratic model; predictive control; active inputs; ℓ₀-input
Identifier: http://hdl.handle.net/1959.13/1297414
Identifier: uon:19440
Identifier: ISBN:9783902823625
Language: eng
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