Controller design for stochastic Markovian switching systems with time-varying delay and actuator saturation

2018 ◽  
Vol 49 (10) ◽  
pp. 2116-2128
Author(s):  
Guangdeng Zong ◽  
Wenhai Qi
Keyword(s):  
Controller Design ◽  
Actuator Saturation ◽  
Markovian Switching ◽  
Switching Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Markovian Switching Systems ◽  
Varying Delay

A new control approach for a class of linear switched systems with time-varying delay

2021 ◽  
pp. 014233122199272
Author(s):  
Abbas Zabihi Zonouz ◽  
Mohammad Ali Badamchizadeh ◽  
Amir Rikhtehgar Ghiasi
Keyword(s):  
Stability Analysis ◽  
Linear Matrix Inequalities ◽  
Linear Matrix ◽  
Switching Systems ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Time Varying Delay ◽  
Linear Switching Systems ◽  
The Stability ◽  
Varying Delay

In this paper, a new method for designing controller for linear switching systems with varying delay is presented concerning the Hurwitz-Convex combination. For stability analysis the Lyapunov-Krasovskii function is used. The stability analysis results are given based on the linear matrix inequalities (LMIs), and it is possible to obtain upper delay bound that guarantees the stability of system by solving the linear matrix inequalities. Compared with the other methods, the proposed controller can be used to get a less conservative criterion and ensures the stability of linear switching systems with time-varying delay in which delay has way larger upper bound in comparison with the delay bounds that are considered in other methods. Numerical examples are given to demonstrate the effectiveness of proposed method.

scholarly journals Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-25
Author(s):  
Ying Liu ◽  
Fei Chen ◽  
Bin Yang ◽  
Xin Wang ◽  
Weiming Wang
Keyword(s):  
Complex Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Time Estimation ◽  
Markovian Switching ◽  
Convergence Time ◽  
Time Varying ◽  
Time Varying Delay ◽  
The Impact ◽  
Varying Delay

In this paper, we investigate the finite-time synchronization control for a class of nonlinear coupled multiweighted complex networks (NCMWCNs) with Markovian switching and time-varying delay analytically and quantitatively. The value of this study lies in four aspects: First, it designs the finite-time synchronization controller to make the NCMWCNs with Markovian switching and time-varying delay achieve global synchronization in finite time. Second, it derives two kinds of finite-time estimation approaches by analyzing the impact of the nonlinearity of nonlinear coupled function on synchronization dynamics and synchronization convergence time. Third, it presents the relationship between Markovian switching parameters and synchronization problems of subsystems and the overall system. Fourth, it provides some numerical examples to demonstrate the effectiveness of the theoretical results.

Fault-tolerant SMC for Takagi–Sugeno fuzzy systems with time-varying delay and actuator saturation

2017 ◽  
Vol 11 (8) ◽  
pp. 1112-1123 ◽  
Author(s):  
Palanisamy Selvaraj ◽  
Boomipalagan Kaviarasan ◽  
Rathinasamy Sakthivel ◽  
Hamid Reza Karimi
Keyword(s):  
Fuzzy Systems ◽  
Actuator Saturation ◽  
Fault Tolerant ◽  
Time Varying ◽  
Time Varying Delay ◽  
Takagi Sugeno ◽  
Varying Delay
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