Exponential stabilisation for time-varying delay system with actuator faults: an average dwell time method

2010 ◽  
Vol 41 (4) ◽  
pp. 435-445 ◽  
Author(s):  
Limin Wang ◽  
Cheng Shao
Keyword(s):  
Dwell Time ◽  
Average Dwell Time ◽  
Delay System ◽  
Time Varying ◽  
Actuator Faults ◽  
Time Varying Delay ◽  
Average Dwell Time Method ◽  
Varying Delay

scholarly journals Average dwell time approach to H∞ filter for continuous-time switched linear parameter varying systems with time-varying delay

2018 ◽  
Vol 233 (1) ◽  
pp. 80-90
Author(s):  
Shenquan Wang ◽  
Wenchengyu Ji ◽  
Yulian Jiang ◽  
Keping Liu
Keyword(s):  
Dwell Time ◽  
Optimal Algorithm ◽  
Average Dwell Time ◽  
Time Varying ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Time Varying Delay ◽  
Parameter Varying ◽  
Varying Delay

Considering two types of delays including both time-varying delay and parameter varying delay in continuous switched linear parameter varying systems, the problem of [Formula: see text] filtering under average dwell time switching is illustrated. The [Formula: see text] filter depending on the linear time-varying parameter [Formula: see text] (mode-dependent parameterized filter) is designed at first. Then, based on multiple Lyapunov function and an improved reciprocally convex inequality, the corresponding existence sufficient conditions for the filter could ensure the obtained filter error system exponentially stable with a guaranteed [Formula: see text] performance in the form of linear matrix inequalities. In addition, the designed filter gains under allowed switching signals are computed via the proposed convex optimal algorithm. In the end, two numerical examples show the effectiveness of the results in this work.

scholarly journals Robust Asynchronous H∞ Observer-Based Control Design for Discrete-Time Switched Singular Systems with Time-Varying Delay and Sensor Saturation: An Average Dwell Time Approach

Electronics ◽  
2021 ◽  
Vol 10 (19) ◽  
pp. 2334
Author(s):  
Mohamed Amin Regaieg ◽  
Mourad Kchaou ◽  
Houssem Jerbi ◽  
Attia Boudjemline ◽  
Ahmed Hafaifa
Keyword(s):  
Discrete Time ◽  
Dwell Time ◽  
Singular Systems ◽  
Robust Stabilization ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Time Varying ◽  
Time Varying Delay ◽  
Control Scheme ◽  
Varying Delay

This work discuss the robust stabilization problem for discrete-time switched singular systems with simultaneous presence of time-varying delay and sensor nonlinearity. To this end, an observer-based controller was synthesized that works under asynchronous switching signals. Investigating the average dwell time approach and using a Lyapunov–Krasovskii functional with triple sum terms, sufficient conditions were derived for achieving the existence of such asynchronous controller and guaranteeing the resulting closed-loop system to be exponentially admissible with H∞ performance level. Subsequently, the effectiveness of the proposed control scheme was verified through two numerical examples.

Dynamic Anti-Saturation Integral Controller Used in Time-Varying Delay System

2011 ◽  
Vol 467-469 ◽  
pp. 766-769
Author(s):  
Gui You Pu ◽  
Ge Wen Kang
Keyword(s):  
Variable Structure ◽  
Delay System ◽  
Time Varying ◽  
Control Methods ◽  
Simulation Studies ◽  
Motor Speed ◽  
Intelligent Controller ◽  
Time Varying Delay ◽  
Integral Controller ◽  
Varying Delay

Systems with large variable delay, traditional control methods can’t performance well. In this paper, a controller combined with the human-simulated intelligent controller (HSIC) and newly dynamic anti-saturation integral controller, is used in the time-varying delay motor speed control. Simulation studies show, there is no chatter in this controller which is always in norm variable structure controller and this method reaches good performance in the time-varying delay system.

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