Output Tracking of Stochastic High-Order Nonlinear Systems with Markovian Switching

Author

Wuquan Li ; Zhaojing Wu

Author_Institution

Sch. of Math. & Inf., Ludong Univ., Yantai, China

Volume

58

Issue

6

fYear

2013

fDate

Jun-13

Firstpage

1585

Lastpage

1590

Abstract

This technical note poses and solves the output tracking problem for a class of stochastic high-order nonlinear systems with stationary Markovian switching. By introducing a II-operator and using Dynkin formula for Markovian switching systems, a switching controller is constructed to ensure that the closed-loop system has a unique solution and is bounded in probability. Also, the tracking error converges to an arbitrarily small neighborhood of zero. The efficiency of the tracking controller is demonstrated by a simulation example.

Keywords

Markov processes; closed loop systems; nonlinear control systems; position control; stochastic systems; Dynkin formula; II-operator; closed-loop system; output tracking; stationary Markovian switching; stochastic high-order nonlinear system; switching controller; tracking controller; tracking error converges; Closed loop systems; Markov processes; Nonlinear systems; Stability analysis; Switches; Markovian switching; output tracking; stochastic high-order nonlinear systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2012.2229814

Filename

6361270