Article
Automation & Control Systems
Tomas Menard, Emmanuel Bernuau, Emmanuel Moulay, Patrick Coirault
Summary: In this article, a new observer design is proposed for systems with aperiodic and asynchronous sampling of the output, assuming the availability of a continuous-time homogeneous observer of negative degree. The proposed method adapts the existing continuous-time observer to handle sampled measurements instead of continuous ones. The obtained observer error is globally uniformly ultimately bounded for any upper bound on the sampling periods, and the ultimate bound decreases as the upper bound on the sampling periods decreases. The stability analysis is based on a Lyapunov approach and the performances of the proposed observer are illustrated with simulations.
Article
Automation & Control Systems
Yihang Kong, Xinghui Zhang, Enyong Liu, Ancai Zhang, Jianlong Qiu
Summary: This research addresses the problem of finite-time tracking error constrained control for a class of non-strict stochastic nonlinear systems with unknown time-varying powers and multiple power terms. Based on the conversion from constrained tracking error to an unconstrained signal with the same effect, by adopting the backstepping technique together with adaptive neural network control, a controller with upper and lower time-varying power bounds is designed to meet the prescribed performance control scheme in finite-time. Finally, two simulation examples are shown to verify the effectiveness of the commendatory control method.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Lin Lin, Jie Zhong, Shiyong Zhu, Jianquan Lu
Summary: In this study, a general partial synchronization method for a specific type of Boolean control networks is proposed for the first time, and it is achieved through sampled-data feedback control. Unlike previous synchronization methods, this approach requires the total number of synchronized nodes to exactly maintain a fixed value within a finite number of steps, and it eliminates the need for predetermined synchronized nodes.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Kecai Cao, Chunjiang Qian, Juping Gu
Summary: This paper proposes novel compensating strategies in output feedback controller design for a class of nonlinear uncertain system. The compensation schemes eliminate the need for a sufficiently small sampling period or approximating step previously imposed, and allow for easy implementation of the proposed controllers using output measurements sampled at the current step and delayed output measurements sampled at the previous step without constructing state observers. The results have been illustrated through numerical studies.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Bin Zhou, Yang Shi
Summary: This article studies the problem of prescribed-time global stabilization of a class of nonlinear systems with unknown nonlinear functions but satisfying a linear growth condition. It explicitly designs linear time-varying feedback using solutions to parametric Lyapunov equations and a Lyapunov-like function, showing that the control signal is uniformly bounded by a constant dependent on the initial condition. Both linear state feedback and linear observer-based output feedback are considered, with the effectiveness of the proposed approach illustrated through a numerical example from the literature.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Mathematics, Interdisciplinary Applications
Huan Su, Jing Xu
Summary: In this paper, time-delayed sampled-data feedback control technique is used to asymptotically stabilize a class of unstable delayed differential systems. An effective interval of the control parameter is obtained for a given sampling period through the analysis of eigenvalues distribution change. The upper bound of the sampling period is estimated using the practical criterion for the size of the sampling period.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Automation & Control Systems
Jinnan Luo, Xinzhi Liu, Wenhong Tian, Shouming Zhong, Kaibo Shi
Summary: This article discusses nonfragile sampled-data filtering problems for Takagi-Sugeno fuzzy systems with uncertainties and delays. By introducing new mathematical methods and bounding inequalities, improved stability results are proposed, along with the design of a low-cost controller.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Yanling Wei, Hamid Reza Karimi, Shichun Yang
Summary: This article presents a novel sampled-data static output-feedback control technique for continuous-time linear parameter-varying systems. By introducing the input-delay approach and parameter-dependent Lyapunov-Krasovskii functional, a bounded real lemma is achieved. Moreover, the controller synthesis problem is transformed into a group of parameterized matrix inequalities with convex optimization techniques, and it is shown that the controller can depend on time-varying parameters.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Mathematics, Interdisciplinary Applications
Lingrong Xue, Zhen-Guo Liu
Summary: This work presents a control algorithm for investigating nonlinear systems with time-varying powers, inverse dynamics, and uncertainties. It proposes appropriate transformations to obtain a new system and recursively constructs a Lyapunov function covering quadratic and high-order components for control design. It introduces neural networks to approximate the uncertain functions encountered during the design and skillfully estimates the nonlinear terms using inequality techniques. By defining bounds of unknown parameters and using adaptive techniques, virtual controllers are selected to dominate the nonlinear functions and ensure the derivative of the Lyapunov function satisfies the required form. Finally, a new adaptive controller is constructed and semiglobal practical finite time stability (SGPFS) is guaranteed. The proposed approach is validated with a numerical example.
Article
Automation & Control Systems
Wenbin Chen, Shengyuan Xu, Ze Li, Yongmin Li, Zhengqiang Zhang
Summary: This paper aims to analyze the exponentially admissibility of neutral singular systems (NSSs) with mixed interval time-varying delays, presenting a new Lyapunov-Krasovskii functional and acquiring a novel delay-dependent exponentially admissibility criterion with specific methods. Numerical examples show the effectiveness and superiority of the method, while the study of application models demonstrates the practical significance of the research.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Automation & Control Systems
Lucas T. F. de Souza, Marcia L. C. Peixoto, Reinaldo M. Palhares
Summary: This paper investigates stability and state-feedback control design for linear parameter-varying systems with time-varying delays. The new conditions for stability and control design are based on Lyapunov theory and Linear Matrix Inequalities. The proposed methodology employs a parameter-dependent Lyapunov-Krasovskii functional and handles the time-derivative using integral inequalities for quadratic functions. The main results include a novel stability condition for delay-dependent systems and a new condition for designing gain-scheduled state-feedback controllers. An example based on a real-world problem is provided to demonstrate the effectiveness of the proposed method.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Fan Liu, You Wu
Summary: This paper focuses on the adaptive event-triggered finite-time tracking problem of output-constrained high-order nonlinear systems with time-varying powers. By introducing nonlinear mappings, finite-time performance functions, and low-power and high-power terms, an adaptive state-feedback controller is designed to eliminate the effects caused by the output constraint and time-varying powers. Simulation examples demonstrate the effectiveness of this control scheme.
Article
Automation & Control Systems
Xuetao Yang, Quanxin Zhu
Summary: This article examines the mean square exponential stabilization of stochastic retarded systems described by SFDEs, proposing a novel sampled-data feedback control approach that effectively handles delays in the system. Two examples with simulation figures are provided to demonstrate the main result.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Kang-Kang Zhang, Bin Zhou, Mingzhe Hou, Guang-Ren Duan
Summary: This article investigates the prescribed-time stabilization problem of p-normal nonlinear systems using bounded time-varying high-gain feedback. A novel design scheme is proposed to address the issue of unbounded growth of high-gain functions approaching the prescribed time. The study demonstrates the convergence of all closed-loop trajectories to the origin within the prescribed time, and the effectiveness of the proposed method is verified through a numerical example.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
S. Harshavarthini, R. Sakthivel, T. Satheesh, Dhafer J. Almakhles
Summary: This study investigates the robust tracking problem for continuous-time periodic piecewise time-varying delay systems using observer-based H-infinity tracking control protocol. It derives sufficient conditions in the form of linear matrix inequalities to ensure robust asymptotic tracking performance and disturbance attenuation. The matrix polynomial approach is utilized for flexible analysis and convex optimization.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
