Title :
Optimality analysis of adaptive sampled control of hybrid systems with quadratic index
Author :
Shuping Tan ; Ji-Feng Zhang ; Lili Yao
Author_Institution :
Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China
fDate :
7/1/2005 12:00:00 AM
Abstract :
This note is concerned with the sampled-data based linear quadratic (LQ) adaptive control of continuous-time systems with unknown Markov jump parameters. A parameter estimator and a control design method are given. It is shown that when the sample step size is small, the sampled-data based adaptive control is suboptimal under LQ index. The result is illustrated by a simulation example.
Keywords :
Markov processes; adaptive control; continuous time systems; control system synthesis; linear quadratic control; parameter estimation; sampled data systems; adaptive sampled control; continuous-time systems; control design method; hybrid systems; linear quadratic index; optimality analysis; parameter estimator; unknown Markov jump parameters; Adaptive control; Automatic control; Control design; Control systems; Fault diagnosis; Mathematics; Optimal control; Parameter estimation; Programmable control; Stochastic systems; Adaptive control; Markov jump parameter; linear quadratic (LQ) index; sampled-data based control; stochastic system;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.851456