<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Stability of hybrid model predictive control"^^ . "In this paper we investigate the stability of hybrid systems in closed-loop with Model Predictive\r\nControllers (MPC) and we derive a priori sufficient conditions for Lyapunov asymptotic stability and\r\nexponential stability. A general theory is presented which proves that Lyapunov stability is achieved for\r\nboth terminal cost and constraint set and terminal equality constraint hybrid MPC, even though the\r\nconsidered Lyapunov function and the system dynamics may be discontinuous. For particular choices\r\nof MPC criteria and constrained Piecewise Affine (PWA) systems as the prediction models we develop\r\nnovel algorithms for computing the terminal cost and the terminal constraint set. For a quadratic MPC\r\ncost, the stabilization conditions translate into a linear matrix inequality while, for an 1-norm based\r\nMPC cost, they are obtained as 1-norm inequalities. It is shown that by using 1-norms, the terminal\r\nconstraint set is automatically obtained as a polyhedron or a finite union of polyhedra by taking a\r\nsublevel set of the calculated terminal cost function. New algorithms are developed for calculating\r\npolyhedral or piecewise polyhedral positively invariant sets for PWA systems. In this manner, the on-line\r\noptimization problem leads to a mixed integer quadratic programming problem or to a mixed integer\r\nlinear programming problem, which can be solved by standard optimization tools. Several examples\r\nillustrate the effectiveness of the developed methodology."^^ . "2004-12" . . . . . . . . . . . . . . . . . "Mircea"^^ . "Lazar"^^ . "Mircea Lazar"^^ . . "Siep"^^ . "Weiland"^^ . "Siep Weiland"^^ . . "Alberto"^^ . "Bemporad"^^ . "Alberto Bemporad"^^ . . "W.P.M.H."^^ . "Heemels"^^ . "W.P.M.H. Heemels"^^ . . . . "43rd IEEE Conference on Decision and Control"^^ . . . . . "Atlantis, Paradise Island, Bahamas"^^ . . . . . . "Stability of hybrid model predictive control (PDF)"^^ . . . . . "MLazarIEEE_2005draft.pdf"^^ . . . "Stability of hybrid model predictive control (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Stability of hybrid model predictive control (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Stability of hybrid model predictive control (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Stability of hybrid model predictive control (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #2253 \n\nStability of hybrid model predictive control\n\n" . "text/html" . . . "TL Motor vehicles. Aeronautics. Astronautics"@en . .