Approximation of Model Predictive Control Laws for Polynomial Systems. Issue 5 (31st March 2014)

• Record Type: Journal Article
• Authors: Canale, M.; Cerone, V.; Piga, D.; Regruto, D.
• Is Part Of: Asian journal of control. Volume 16:Issue 5(2014:Sep.)
• Page Start: 1425
• Page End: 1436
• Publication Date: 2014-03-31
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.863
• Languages: English
• ISSNs: 1561-8625

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>A fast implementation of a given predictive controller for polynomial systems is introduced by approximating the optimal control law with a piecewise constant function defined over a hyper‐cube partition of the system state space. Such a state‐space partition is computed in order to guarantee stability, an <italic>a priori</italic> fixed trajectory error as well as input and state constraints fulfilment. The presented approximation procedure is achieved by solving a set of nonconvex polynomial optimization problems, whose approximate solutions are computed by means of semidefinite relaxation techniques for semialgebraic problems.</p> </abstract>