DocumentCode :
1520836
Title :
Linear Systems With Medium-Access Constraint and Markov Actuator Assignment
Author :
Guo, Ge
Author_Institution :
Sch. of Inf. Sci. & Technol., Dalian Maritime Univ., Dalian, China
Volume :
57
Issue :
11
fYear :
2010
Firstpage :
2999
Lastpage :
3010
Abstract :
This paper investigates a type of systems controlled over a communication network that can only accommodate a subset of actuators at any time. The medium-access status of actuators is event driven by a stochastic process modeled as a Markov chain. A methodology of analysis and control synthesis is established using theories in time-delay systems and Markovian jumping systems. Specifically, in the context of asymptotic mean-square stability, a state feedback control approach is derived by transforming the vector system into a scalar representation first and then using on it a stability criterion provided for scalar linear time-delay systems. The results are given in terms of a delay-dependent scalar inequality and a simple matrix inequality based on a couple of scalar decision variables, which are easily solvable using the newly proposed quasi-convex optimization algorithm. The corresponding results for uncertain linear systems are also given. Meanwhile, a design approach in the sense of stochastic stability in probability is presented using a Lyapunov-like method, with the mode-dependent results being given in the form of a set of coupled matrix differential inequalities and a martingale probability inequality. Numerical examples have shown the usefulness of the proposed results.
Keywords :
Lyapunov methods; Markov processes; actuators; asymptotic stability; control system synthesis; convex programming; delays; distributed control; linear matrix inequalities; linear systems; state feedback; Lyapunov-like method; Markov actuator assignment; Markov chain; Markovian jumping systems; asymptotic mean-square stability; communication network; linear systems; martingale probability inequality; matrix differential inequalities; medium-access constraint; quasiconvex optimization algorithm; scalar decision variables; scalar linear systems; simple matrix inequality; stability criterion; state feedback control; time-delay systems; uncertain linear systems; vector system; Asymptotic stability; Communication networks; Communication system control; Control system analysis; Control systems; Hydraulic actuators; Linear matrix inequalities; Linear systems; Stability criteria; Stochastic processes; Actuator assignment; Markov process; delayed actuation; network-access constraint; stochastic stabilization;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher :
ieee
ISSN :
1549-8328
Type :
jour
DOI :
10.1109/TCSI.2010.2050227
Filename :
5491104
Link To Document :
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