Article
Automation & Control Systems
Qiang Yu, Guisheng Zhai
Summary: This paper introduces the concepts of Weighted Average Dwell Time (WADT) and Fast Weighted Average Dwell Time (FWADT) for continuous-time switched systems, and investigates their stability under a class of ergodic switching signals. The relationship between different ADT schemes and the WADT scheme is discussed, showing that classic schemes are included in the new one under certain conditions. The proposed switching law based on the (F)WADT scheme is more flexible and has a larger feasible region, and numerical examples are included to illustrate the validity and superiority of the developed techniques.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Automation & Control Systems
Jiasheng Shi, Jun Zhao
Summary: This article introduces asynchronous switching for a class of switched descriptor systems (SDSs) under multiple event-triggered schemes (ETSs). By using mode-dependent coordinates transformation and co-designing state feedback controller and multiple ETSs, an exponential stability criterion for the closed-loop system with average dwell time switching signals is presented, while avoiding Zeno behavior.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Mathematics, Applied
Hao-Yang Zhu, Xiaoyue Jiang, Yuan-Xin Li, Shaocheng Tong
Summary: This article addresses the issue of initial state-dependent average dwell time (ISD-ADT) based output feedback control for switched systems. A switched observer is first proposed to estimate the unmeasurable states. A novel switching law is then established based on the ISD-ADT method and backstepping technique. Furthermore, a fuzzy adaptive finite-time control algorithm is presented using the smooth switch function (SSF) to overcome singularity hindrance.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Mathematics, Applied
Jimin Yu, Xiaoyu Qi, Yabin Shao
Summary: In reality, due to network delays and system detection, the activation of candidate controllers frequently lags, causing issues with asynchronous switching between controllers and subsystems. This work proposes an asynchronous control technique based on the mode-dependent average dwell time (MDADT) for a class of discrete linear switching systems with time delay to keep the system stable while using asynchronous switching.
Article
Engineering, Electrical & Electronic
Jing Wang, Xingtao Wang
Summary: This paper addresses the H-infinity control problem for a class of uncertain switched singular systems with time-varying state delays under asynchronous switching. The exponential stability of the system is guaranteed by finding a novel Lyapunov-Krasovskii function and utilizing average dwell time technique. A condition for ensuring the H-infinity performance of the original system is derived, and strict LMI formulas for solving the state feedback controller are provided. Numerical examples are presented to demonstrate the effectiveness of the proposed methods.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Automation & Control Systems
Zhenyue Wang, Lijun Gao, Huiying Liu
Summary: This paper investigates the stability and stabilization problems of impulsive switched systems with inappropriate switching signals under asynchronous switching. A novel Lyapunov-like function is constructed to obtain sufficient conditions for globally uniformly exponentially stable closed loop systems.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2021)
Article
Computer Science, Information Systems
Linlin Hou, Xuan Ma, Haibin Sun
Summary: This paper addresses the problem of stabilizing switched linear systems under asynchronous switching. The admissible edge-dependent average dwell time method is used to design a switching signal that includes both slow and fast admissible edge-dependent average dwell times. The restriction that the maximum delay of asynchronous switching is known in advance is removed in this switching signal. Stabilization criteria and an algorithm are presented to obtain the controller gains and design the switching signal. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.
FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING
(2022)
Article
Automation & Control Systems
Huiying Liu, Lijun Gao, Zhenyue Wang, Zihan Liu
Summary: This paper addresses the asynchronous l(2) - l(infinity) filtering problem for discrete-time impulsive switched systems, proposing a novel Lyapunov function and an improved inequality to ensure filtering system performance. Criteria for proving globally uniformly exponential stability using directed graphs and average dwell time technology are suggested. Three numerical examples demonstrate the effectiveness of the conclusions drawn.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Mathematics, Applied
Jing Wang, Xingtao Wang
Summary: This paper focuses on the finite-time stabilization of a class of switched nonlinear singular systems under asynchronous control. By using dynamic decomposition technique, it is proven that the switched singular system is regular and impulse-free. Sufficient conditions for the finite-time stability of the asynchronous switched singular system are provided, and a mode-dependent state feedback controller that ensures stability is derived.
JOURNAL OF INEQUALITIES AND APPLICATIONS
(2021)
Article
Engineering, Electrical & Electronic
Xiaomei Wang, Jun Zhao
Summary: This paper investigates the robust stabilization for switched uncertain systems with input quantization when controller and subsystem mode are subject to asynchronous switching. The criteria for achieving exponential stability of the closed-loop systems under asynchronous switching are presented, and the design method of the controllers is given.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Automation & Control Systems
Yalin Deng, Huasheng Zhang, Jianwei Xia, Wei Sun
Summary: This article investigates the exponential H-infinity tracking control problem of uncertain switched stochastic systems with mixed time-varying delays. A delay-dependent sufficient conclusion is obtained, ensuring the system stability and H-infinity tracking performance. Corresponding controllers are designed based on the stability analysis.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Yunting Wang, Rongqiang Tang, Housheng Su, Yaping Sun, Xinsong Yang
Summary: This article investigates the stabilization issue of switched discrete-time positive systems with delay using asynchronous control, and introduces a new method based on transition probability and mode-dependent average dwell time switching. It designs a mode-dependent controller to stabilize SDPS with unstable subsystems, showing the advantages of the new results through numerical simulations.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Automation & Control Systems
Ying Zhao, Quanxin Zhu
Summary: This paper discusses the existence and boundedness of unique global solution for highly nonlinear switched stochastic systems with time delays and studies the stability conditions and control methods. By introducing a delay feedback control function and using methods like mathematical induction, the H∞ stability and pth moment exponential stability of the systems are proved. An explanatory example is provided to demonstrate the effectiveness of the main results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Mathematics, Applied
Gokhan Goksu, Ulviye Baser
Summary: This work examines the finite-time stability of switched linear systems with stable, unstable and mixed stable subsystems using vector and matrix norms. New conditions and bounds are proposed and several numerical examples are provided to demonstrate the effectiveness of the theoretical results.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Engineering, Electrical & Electronic
Leipo Liu, Yifan Di, Yilin Shang, Zhumu Fu, Bo Fan
Summary: This paper considers the problem of guaranteed cost and finite-time non-fragile control for a class of fractional-order positive switched systems with asynchronous switching and impulsive moments. Sufficient conditions for system stability are derived via linear programming and specific methods, with controllers designed to ensure system stability and cost constraints. An example of a fractional-order electrical circuit is provided to demonstrate the feasibility and effectiveness of the proposed method.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2021)
