Design of a Switching Control Strategy for Time-Varying Delay Batch Processes Using Fault Probability-Based Average Dwell Time Method

2020 ◽  
Vol 59 (11) ◽  
pp. 5087-5102 ◽  
Author(s):  
Limin Wang ◽  
Bingyun Li ◽  
Ridong Zhang ◽  
Furong Gao
Keyword(s):  
Control Strategy ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Batch Processes ◽  
Time Varying ◽  
Fault Probability ◽  
Time Varying Delay ◽  
Average Dwell Time Method ◽  
Switching Control Strategy ◽  
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.

scholarly journals Stability Analysis and RobustH∞Control of Switched Stochastic Systems with Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Zhengrong Xiang ◽  
Guoxin Chen
Keyword(s):  
Exponential Stability ◽  
Stochastic Systems ◽  
Average Dwell Time ◽  
Linear Matrix ◽  
Time Varying ◽  
Mean Square ◽  
Time Varying Delay ◽  
Switched Stochastic Systems ◽  
Mean Square Exponential Stability ◽  
Varying Delay

The problems of mean-square exponential stability and robustH∞control of switched stochastic systems with time-varying delay are investigated in this paper. Based on the average dwell time method and Gronwall-Bellman inequality, a new mean-square exponential stability criterion of such system is derived in terms of linear matrix inequalities (LMIs). Then,H∞performance is studied and robustH∞controller is designed. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.

scholarly journals Exponential Stability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays via an Average Dwell-Time Method

2012 ◽  
Vol 2012 ◽  
pp. 1-18
Author(s):  
N. Yotha ◽  
T. Botmart ◽  
T. Mouktonglang
Keyword(s):  
Nonlinear Systems ◽  
Exponential Stability ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Fast Time ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Time Varying Delay ◽  
Unstable Subsystems

The problem of exponential stability for a class of switched nonlinear systems with discrete and distributed time-varying delays is studied. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function. We study the stability properties of switched nonlinear systems consisting of both stable and unstable subsystems. Average dwell-time approached and improved piecewise Lyapunov functional combined with Leibniz-Newton are formulated. New delay-dependent sufficient conditions for the exponential stabilization of the switched systems are first established in terms of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document