Stabilization and control of switched singular systems with impulse under a new average dwell time strategy

2021 ◽  
Author(s):  
Qiang Yu ◽  
Yijing Li
Keyword(s):  
Dwell Time ◽  
Singular Systems ◽  
Average Dwell Time ◽  
And Control

Stability and L2–Gain analysis of linear switched singular systems by using multiple discontinuous Lyapunov function approach

2019 ◽  
Vol 41 (15) ◽  
pp. 4197-4206 ◽  
Author(s):  
Jumei Wei ◽  
Huimin Zhi ◽  
Kai Liu
Keyword(s):  
Lyapunov Function ◽  
Exponential Stability ◽  
Discrete Time ◽  
Text Analysis ◽  
Dwell Time ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Function Approach ◽  
Discrete Time Case

In this paper, the problem of the E-exponential stability and [Formula: see text] analysis of linear switched singular systems is investigated in discrete-time case. By using a multiple discontinuous Lyapunov function approach and adopting the mode-dependent average dwell time (MDADT) switching signals, new sufficient conditions of E-exponential stability and [Formula: see text] analysis for linear switched singular systems are presented. Based on the above results, we also derive the weighted [Formula: see text] performance index. In addition, by utilizing our proposed method, tighter bounds on average dwell time can be obtained for our considered systems. At last, a numerical example is given to show the effectiveness of the results.

On stability for discrete-time non-linear singular systems with switching actuators via average dwell time approach

2016 ◽  
Vol 39 (12) ◽  
pp. 1771-1776 ◽  
Author(s):  
Yunlong Liu ◽  
Juan Wang ◽  
Cunchen Gao ◽  
Zairui Gao ◽  
Xiaojin Wu
Keyword(s):  
Discrete Time ◽  
Dwell Time ◽  
Closed Loop ◽  
Singular Systems ◽  
Average Dwell Time ◽  
Discrete Time Systems ◽  
Non Linear ◽  
The Stability ◽  
Relationship Of ◽  
Time Systems

This paper aims to study stability for discrete-time non-linear singular systems with switching actuators. A sufficient condition is addressed to ensure that non-linear closed-loop singular systems are input-to-state stable via average dwell time approach and the iterative relationship of discrete-time systems. In the stability criterion, we neither construct a certain Lyapunov function, nor design the specific structure of the control inputs. It is much easier to design each sub-controller of switching actuators via the proposed condition. Finally, a numerical example is provided to demonstrate the feasibility and effectiveness of the results obtained.

Stability analysis for discrete-time switched linear singular systems: average dwell time approach

2012 ◽  
Vol 30 (2) ◽  
pp. 239-249 ◽  
Author(s):  
Y. Chen ◽  
S. Fei ◽  
K. Zhang
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Dwell Time ◽  
Singular Systems ◽  
Average Dwell Time

Robust Fault Detection and Control for Continuous-Time Switched Systems with Average Dwell Time

2017 ◽  
Vol 37 (6) ◽  
pp. 2357-2373 ◽  
Author(s):  
Abdellah Benzaouia ◽  
Youssef Eddoukali
Keyword(s):  
Fault Detection ◽  
Continuous Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Robust Fault Detection ◽  
And Control

Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time

2016 ◽  
Vol 273 ◽  
pp. 767-792 ◽  
Author(s):  
Ding Zhai ◽  
An-Yang Lu ◽  
Jing-Hao Li ◽  
Qing-Ling Zhang
Keyword(s):  
Fault Detection ◽  
Linear Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Switched Linear Systems ◽  
And Control

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.

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