NDLI: Stabilization of Finite Automata with Application to Hybrid Systems Control

Content Provider	Springer Nature Link
Author	Kobayashi, Koichi Imura, Jun ichi Hiraishi, Kunihiko
Copyright Year	2011
Abstract	This paper discusses the state feedback stabilization problem of a deterministic finite automaton (DFA), and its application to stabilizing model predictive control (MPC) of hybrid systems. In the modeling of a DFA, a linear state equation representation recently proposed by the authors is used. First, this representation is briefly explained. Next, after the notion of equilibrium points and stabilizability of the DFA are defined, a necessary and sufficient condition for the DFA to be stabilizable is derived. Then a characterization of all stabilizing state feedback controllers is presented. Third, a simple example is given to show how to follow the proposed procedure. Finally, control Lyapunov functions for hybrid systems are introduced based on the above results, and the MPC law is proposed. The effectiveness of this method is shown by a numerical example.
Starting Page	519
Ending Page	545
Page Count	27
File Format	PDF
ISSN	09246703
Journal	Discrete Event Dynamic Systems
Volume Number	21
Issue Number	4
e-ISSN	15737594
Language	English
Publisher	Springer US
Publisher Date	2011-06-17
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Finite automata Hybrid systems Model predictive control Stabilization Manufacturing, Machines, Tools Electrical Engineering Systems Theory, Control Convex and Discrete Geometry Operations Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Modeling and Simulation

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