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Ultra-fast stabilizing model predictive control via canonical piecewise affine approximations

Bemporad, Alberto and Oliveri, Alberto and Poggi, Tomaso and Storace, Marco Ultra-fast stabilizing model predictive control via canonical piecewise affine approximations. IEEE Transactions on Automatic Control , 56 (12). 2883-2897 . ISSN 0018-9286 (2011)

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This paper investigates the use of canonical piecewise affine (PWA) functions for approximation and fast implementation of linear MPC controllers. The control law is approximated in an optimal way over a regular simplicial partition of a given set of states of interest. The stability properties of the resulting closed-loop system are analyzed by constructing a suitable PWA Lyapunov function. The main advantage of the proposed approach to the implementation of MPC controllers is that the resulting stabilizing approximate MPC controller can be implemented on chip with sampling times in the order of tens of nanoseconds.

Item Type: Article
Identification Number: 10.1109/TAC.2011.2141410
Uncontrolled Keywords: Aerospace electronics; Function approximation; Optimal control; Silicon; Softening; Vectors
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 28 Jul 2011 09:52
Last Modified: 06 Jul 2012 12:30
URI: http://eprints.imtlucca.it/id/eprint/730

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