<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Optimal controllers for hybrid systems: stability and piecewise linear explicit form"^^ . "We propose a procedure for synthesizing piecewise linear optimal controllers for hybrid systems and investigate conditions for closed-loop stability. Hybrid systems are modeled in discrete-time within the mixed logical dynamical framework, or, equivalently, as piecewise affine systems. A stabilizing controller is obtained by designing a model predictive controller, which is based on the minimization of a weighted 1/∞-norm of the tracking error and the input trajectories over a finite horizon. The control law is obtained by solving a mixed-integer linear program (MILP) which depends on the current state. Although efficient branch and bound algorithms exist to solve MILPs, these are known to be NP-hard problems, which may prevent their online solution if the sampling-time is too small for the available computation power. Rather than solving the MILP online, we propose a different approach where all the computation is moved off line, by solving a multiparametric MILP. As the resulting control law is piecewise affine, online computation is drastically reduced to a simple linear function evaluation. An example of piecewise linear optimal control of a heat exchange system shows the potential of the method"^^ . "2000" . "2" . . "IEEE"^^ . . "IEEE"^^ . . . "Proc. 39th IEEE Conf. on Decision and Control"^^ . . . . . . . . . . . . . . "Francesco"^^ . "Borrelli"^^ . "Francesco Borrelli"^^ . . "Alberto"^^ . "Bemporad"^^ . "Alberto Bemporad"^^ . . "Manfred"^^ . "Morari"^^ . "Manfred Morari"^^ . . . . . "HTML Summary of #572 \n\nOptimal controllers for hybrid systems: stability and piecewise linear explicit form\n\n" . "text/html" . . . "QA Mathematics"@en . . . "TJ Mechanical engineering and machinery"@en . .