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Automation & Control Systems
Hailong Wang, Yanhui Tong, Dongmei Xu, Wanqing Song
Summary: This paper explores finite-time control for discrete-time switched linear systems by utilizing admissible edge-dependent average dwell-time (AED-ADT) to identify a class of constrained switching signals. The multiple discontinuous Lyapunov function (MDLF) approach is used to analyze closed-loop stability and performance, with a synthesis condition for finite-time bounded control proposed. Two simulation examples are provided to demonstrate the effectiveness and practicality of the control synthesis method.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Automation & Control Systems
Ruihua Wang, Fupeng Li, Shumin Fei
Summary: This paper focuses on the finite-time issues of discrete-time switched systems and proposes a novel approach for constructing Lyapunov functions. Based on this approach, improved finite-time stability results are derived and transferring-dependent controllers are designed for finite-time control synthesis. The finite-time H-infinity control is further investigated using the obtained control synthesis results. The effectiveness of the developed results is verified through numerical and practical examples.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2023)
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
Automation & Control Systems
Fu-Peng Li, Rui-Hua Wang, Shu-Min Fei
Summary: This paper investigates the stability and controller design for discrete-time switched systems under slow/fast AED-ADT switching, proposing novel transferring-dependent Lyapunov functions and establishing excellent stability criteria. New transferring-dependent controllers are devised based on these functions to stabilize the system effectively, as verified by numerical examples.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2022)
Article
Engineering, Electrical & Electronic
Ruihua Wang, Fupeng Li, Yanqian Wang, Jingbo Zhao
Summary: This paper investigates the stability and stabilization of continuous-time switched systems with admissible edge-dependent average dwell time (AED-ADT). By proposing new-type Lyapunov functions and two controller design approaches, less conservative stability criteria and optimized control performances are achieved.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Automation & Control Systems
Wei Ren, Junlin Xiong
Summary: This article studies the robust filtering problem for 2-D switched systems with convex-bounded uncertainties by deriving synthesis results and designing robust filters. The approach transforms the system into an equivalent representation and establishes sufficient conditions for system stability, resulting in the design of 2-D stationary discrete-time linear filters. The obtained results are illustrated through a numerical example.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(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)
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Automation & Control Systems
Aysegul Kivilcim, Ozkan Karabacak, Rafael Wisniewski
Summary: Recent research has shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. By discussing mode-dependent and edge-dependent average dwell times, the stability of the system is ensured.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2021)
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Automation & Control Systems
Yanhui Tong, Xudong Zhao, Mingyuan Zhai, Hailong Wang, Xiaohang Li
Summary: This article focuses on the finite-time H-infinity filtering for discrete-time switched systems with average dwell time, aiming to derive a more preferable filtering scheme by fully exploiting the information of the admissible switching edge. To reduce the design conservatism, the multiple discontinuous Lyapunov function approach is used to analyze the finite-time stability and H-infinity performance of the filtering error system. The proposed filter design scheme is applied to a DC-DC power converter circuit and verified by simulation results.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING
(2022)
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Automation & Control Systems
Qiang Yu, Guisheng Zhai
Summary: A novel concept of L phi DADT is proposed in this paper along with new conditions for stability and stabilization of switched systems. These conditions can be easily calculated through simple linear matrix inequalities.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
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Automation & Control Systems
Lijun Gao, Huiying Liu, Ju H. Park, Zhengbao Cao
Summary: This article investigates the input-to-state stability problem for general discrete-time impulsive and switched delayed systems. It proposes a new concept and method to improve existing results and provides numerical examples for validation.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Computer Science, Information Systems
R. Vijay Aravind, P. Balasubramaniam
Summary: This paper addresses the exponential stabilization of switched interval type-2 fuzzy (IT-2F) time-delay systems using a non-fragile memory state feedback controller under an admissible edge-dependent average dwell time (AEDADT) scheme. It employs the concepts of slow switching and fast switching based on the AEDADT property to restrict stable and unstable modes. The globally uniformly exponential stability condition is ensured through the use of a non-fragile memory state feedback controller and the linear matrix inequalities (LMI) approach.
INFORMATION SCIENCES
(2022)
Article
Automation & Control Systems
Zhongyang Fei, Weizhong Chen, Xudong Zhao
Summary: This paper investigates the zonotopic state estimation for discrete-time switched positive systems under asynchronism. A new radius definition called positive generator matrix based radius (PGR) is proposed to characterize the size of state zonotope and derive linear programming conditions. An iterative estimation procedure is proposed to construct the state bounding zonotope, allowing the mode-dependent weighted PGR to increase within asynchronous intervals. The proposed approach is validated through a simulation example.
Article
Automation & Control Systems
Tianrui Li, Weiqun Wang, Weimin Chen
Summary: This paper studies the event-triggered observer-based H-infinity control of switched linear systems with time-varying state delay and exogenous disturbance. The proposed method uses average dwell time scheme and Jensen's Inequality technique to obtain less conservative sufficient conditions in terms of LMIs for exponential stabilisation and desired H-infinity control performance. Numerical examples and comparison results demonstrate the effectiveness and advantages of the proposed approach.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Engineering, Electrical & Electronic
Mengjiao Wang, Baowei Wu, Yue-E. Wang, Lili Liu
Summary: This paper proposes an AED-ADT approach for the asynchronous finite-time H-8 control of discrete-time switched linear systems. The construction of appropriate Lyapunov functions for asynchronous and synchronous switching is discussed. A sufficient condition for the finite-time boundedness of the closed-loop system with AED-ADT is provided, and a condition for finite-time H-8 control with prescribed H-8 performance is also developed. A numerical example is given to validate the theoretical results.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2023)
