relation: http://eprints.imtlucca.it/610/ title: Model predictive control - ideas for the next generation creator: Bemporad, Alberto creator: Ferrari-Trecate, Giancarlo creator: Mignone, Domenico creator: Morari, Manfred creator: Torrisi, Fabio Danilo subject: QA Mathematics subject: TJ Mechanical engineering and machinery description: Mixed Logical Dynamical (MLD) systems are introduced as a new system type. The MLD form is capable to model a broad class of systems arising in many applications: linear hybrid systems; sequential logical systems (finite state machines, automata); nonlinear dynamic systems, where the nonlinearity can be expressed through combinational logic; some classes of discrete event systems; constrained linear systems. Controllability/verification and observability of MLD systems and other system theoretic properties are defined. Tests for these properties are formulated in the form of Mixed-Integer Linear Programs. Moving horizon control and estimation strategies with stability guarantees are proposed. These strategies require the iterative solution of Mixed-Integer Quadratic Programs. Several examples communicate the power and versatility of the proposed framework. date: 1999 type: Conference or Workshop Item type: PeerReviewed identifier: Bemporad, Alberto and Ferrari-Trecate, Giancarlo and Mignone, Domenico and Morari, Manfred and Torrisi, Fabio Danilo Model predictive control - ideas for the next generation. In: European Control Conference , Karlsruhe, Germany (1999)