Bemporad, Alberto and Oliveri, Alberto and Poggi, Tomaso and Storace, Marco Synthesis of stabilizing model predictive controllers via canonical piecewise affine approximations. In: Decision and Control Conference. IEEE, Hilton Atlanta Hotel, Atlanta, December 15-17, 2010, 5296 -5301. ISBN 978-1-4244-7745-6 (2010)Full text not available from this repository.
This paper proposes the use of canonical piecewise affine (PWA) functions for the approximation of linear MPC controllers over a regular simplicial partition of a given set of states of interest. Analysis tools based on the construction of PWA Lyapunov functions are provided for certifying the asymptotic stability of the resulting closed-loop system. The main advantage of the proposed controller synthesis approach 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:||Book Section|
|Projects:||under project FP7-INFSO-ICT-248858 “MOBY-DIC – Model-based synthesis of digital electronic circuits for embedded control”|
|Funders:||This work was supported by the European Commission under project FP7-INFSO-ICT-248858 “MOBY-DIC – Model-based synthesis of digital electronic circuits for embedded control”|
|Uncontrolled Keywords:||Lyapunov functions; asymptotic stability; canonical piecewise affine approximation; closed loop system; controller synthesis; linear MPC controllers; model predictive controller stabilization; Lyapunov methods; approximation theory; asymptotic stability; closed loop systems; control system synthesis; linear systems; piecewise linear techniques; predictive control; sampling methods|
|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:||29 Jul 2011 10:49|
|Last Modified:||04 Aug 2011 07:29|
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