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Hybrid systems: A mixed-integer approach


A. Bemporad

Minisymposium on Analysis and Control of Dynamical Systems

Hybrid models describe systems where continuous and logical variables evolve interdependently. A typical instance are real-time systems, where physical processes are regulated by embedded controllers. In this talk we focus on discrete-time hybrid models, for which we developed a state-space approach based on real and binary variables. We show that such a framework allows to efficiently solve problems of control, state estimation/fault detection, and verification, by using techniques based on mixed-integer and multiparametric programming. In particular, we present a general technique for synthesizing stabilizing piecewise linea controllers for hybrid systems.


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