Title :
Stabilizing model predictive controllers for randomly switching max-plus-linear systems
Author :
van den Boom, Ton ; De Schutter, Bart
Author_Institution :
Delft Center for Syst. & Control, Delft Univ. of Technol., Delft, Netherlands
Abstract :
Randomly switching max-plus-linear (RSMPL) systems are discrete event systems that can switch between different modes of operation, where the switching is a stochastic process. In each mode the system is described by a max-plus-linear state equation and a max-plus-linear output equation, with different system matrices for each mode. We discuss conditions for stability and derive a stabilizing model predictive controller for RSMPL systems.
Keywords :
discrete event systems; linear systems; matrix algebra; predictive control; stability; stochastic processes; switching systems (control); RSMPL systems; discrete event systems; max-plus-linear output equation; max-plus-linear state equation; model predictive controller; operation modes; randomly switching max-plus-linear systems; stability; stabilization; stochastic process; system matrices; Algebra; Discrete-event systems; Equations; Mathematical model; Predictive models; Switches;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6