Linear quadratic regulator for a class of Markovian jump systems with control in jumps

2010 ◽  
Author(s):  
Alessandro N. Vargas ◽  
Joao Y. Ishihara ◽  
Joao B. R. do Val
Keyword(s):  
Linear Quadratic Regulator ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Linear Quadratic ◽  
Jump Systems

A diffusive representation approach toward H∞ sliding mode control design for fractional-order Markovian jump systems

2020 ◽  
pp. 095965182097525
Author(s):  
Majid Parvizian ◽  
Khosro Khandani
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Suggested Approach ◽  
Stabilizing Controller ◽  
Mode Control ◽  
Jump Systems ◽  
Diffusive Representation

This article proposes a new [Formula: see text] sliding mode control strategy for stabilizing controller design for fractional-order Markovian jump systems. The suggested approach is based on the diffusive representation of fractional-order Markovian jump systems which transforms the fractional-order system into an integer-order one. Using a new Lyapunov–Krasovskii functional, the problem of [Formula: see text] sliding mode control of uncertain fractional-order Markovian jump systems with exogenous noise is investigated. We propose a sliding surface and prove its reachability. Moreover, the linear matrix inequality conditions for stochastic stability of the resultant sliding motion with a given [Formula: see text] disturbance attenuation level are derived. Eventually, the theoretical results are verified through a simulation example.

Non-fragile H∞ SMC for Markovian jump systems in a finite-time

2021 ◽  
Author(s):  
Wenhai Qi ◽  
Yaoyao Zhou ◽  
Lihua Zhang ◽  
Jinde Cao ◽  
Jun Cheng
Keyword(s):  
Finite Time ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Jump Systems
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