In multi-parametric programming, an optimization problem is solved for a range and as a
function of multiple parameters. In this review, we discuss the main developments of multi …

Explicit model predictive control (MPC) addresses the problem of removing one of the main
drawbacks of MPC, namely the need to solve a mathematical program on line to compute …

Abstract A Multi-Parametric Toolbox (MPT) for computing optimal or suboptimal feedback
controllers for constrained linear and piecewise affine systems is under development at …

We review recently developed schemes for the constrained control of systems integrating
logic and continuous dynamics. The control paradigm we focus on is model predictive …

Piecewise affine (PWA) systems are useful models for describing non-linear and hybrid
systems. One of the key problems in designing controllers for these systems is the inherent …

An electronic throttle is a dc-motor-driven valve that regulates air inflow into the combustion
system of the engine. The throttle control system should ensure fast and accurate reference …

We present a systematic framework to derive model-based simultaneous strategies for the
integration of scheduling and control via multiparametric programming. We develop offline …

Piecewise affine (PWA) systems are powerful models for describing both non-linear and
hybrid systems. One of the key problems in controlling these systems is the inherent …

The general solution to constrained linear and piecewise linear model predictive control
(MPC) has recently been explicitly characterized in terms of piecewise-linear (PWL) state …

In automotive powertrains, the existence of backlash causes driveability problems, which to
some extent are remedied by the engine control system. The control problem has a …