Title :
Sliding mode control for Markovian jumping systems subject to partially known transition rate
Author :
Bei Chen ; Tinggang Jia ; Yugang Niu
Author_Institution :
Key Lab. of Adv. Control & Optimization for Chem. Process, East China Univ. of Sci. & Technol., Shanghai, China
Abstract :
This paper investigates the problem of sliding mode control for a class of stochastic Markovian jumping systems with partially known transition rate. A key feature in this work is to relax the requirement that all the elements in transition rate matrix are known, which is usually encountered in some existing works. It is shown that the reachability of the specified sliding surface can be ensured by the designed sliding mode controller. Besides, the sufficient conditions for the stability of the sliding motion on the sliding surface are also derived.
Keywords :
Markov processes; matrix algebra; reachability analysis; stochastic systems; variable structure systems; partially known transition rate; reachability; sliding mode controller; sliding motion; sliding surface; stability; stochastic Markovian jumping systems; transition rate matrix; Indium tin oxide; Nickel; Sliding mode control; Stability analysis; Stochastic systems; Symmetric matrices; Trajectory; Markovian jumping systems; incomplete transition rate; sliding mode control; state-dependent noise;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
