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Piecewise linear robust model predictive control

Bemporad, Alberto and Borrelli, Francesco and Morari, Manfred Piecewise linear robust model predictive control. In: European Control Conference. European Control Conference, Porto, Portugal, pp. 939-944. (2001)

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For discrete-time linear time-invariant systems with input disturbances and constraints on inputs and states, we develop an algorithm to determine explicitly, as a function of the initial state, the solution to robust optimal control problems based on min-max optimization. We show that the optimal control sequence is a piecewise linear function of the initial state. Thus, when the optimal control problem is solved at each time step according to a moving horizon scheme, the on-line computation of the resulting MPC controller is reduced to a simple linear function evaluation. In this paper the uncertainty is modeled as an additive norm-bounded input disturbance vector. The technique can be also extended to robust control of constrained systems affected by polyhedral parametric uncertainty.

Item Type: Book Section
Subjects: Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 09:08
Last Modified: 17 Jul 2014 12:46
URI: http://eprints.imtlucca.it/id/eprint/578

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