Article
Automation & Control Systems
Xuefei Yang, Bin Zhou
Summary: This paper investigates the global stabilization of discrete-time linear systems with input time delay by bounded controls. Special cases of multiple integrators and oscillators are considered, and global stabilizing controllers and stability conditions are established. A concise design method is proposed for stabilizing general discrete-time linear systems, and numerical simulations confirm the effectiveness of the proposed approaches.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Engineering, Electrical & Electronic
Wenhui Zhang, Fangzheng Gao, Jiacai Huang, Yuqiang Wu
Summary: This brief addresses the problem of global prescribed-time stabilization for a class of uncertain feedforward nonlinear systems. A new time-scale transformation is introduced to convert the original global PTS problem into the global asymptotic stabilization of the transformed system without changing its structure. Both state and output feedback controllers are developed under this new framework using a non-recursive technique to achieve the desired performances. Simulation results of a nonlinear liquid level control resonant circuit system are presented to validate the proposed approach.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Automation & Control Systems
Min-Sung Koo, Ho-Lim Choi
Summary: This paper addresses a regulation problem for a class of feedforward nonlinear systems with unknown control coefficients and unknown growth rate. By considering time-varying control coefficients and constructing a Lyapunov function, a new adaptive controller is derived to overcome the difficulties caused by uncertain nonlinearities and unknown ranges of the control coefficients. The system analysis and simulation results of a numerical example are provided to verify the effectiveness of the proposed control method.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
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
Engineering, Electrical & Electronic
Zongyu Zuo, Xinyu Li, Boda Ning, Qing-Long Han
Summary: This paper addresses the global finite-time stabilization problem for systems with bounded controls. Two classes of bounded global finite-time controllers are proposed based on bounded functions of tanh(.) and arctan(.), which can stabilize single integrator systems and prescribe the saturation level of the control input. Moreover, an explicit upper-bound estimate for closed-loop settling time is provided for each proposed controller, which is closely related to a parameter reflecting the initial state location. Finally, the effectiveness of the proposed controllers is verified through simulation.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Automation & Control Systems
Hui Wang, Quanxin Zhu
Summary: This paper discusses the output feedback stabilization problem for a class of stochastic nonlinear systems in lower-triangular form. The key feature of the studied systems is the consideration of both time-delay factors and sensor measurement error in system modeling. To handle the uncertainties in unmeasured states, a full-order state observer is introduced to rebuild the states of the systems. By developing a simple but efficient control scheme, a linear output feedback controller coupled with two different static gains is designed to stabilize the entire system. In contrast to conventional methods, a stability analysis framework based on Lyapunov-Razumikhin function is proposed for the closed-loop stochastic system, which can handle various types of time delays.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Liang Liu, Jiaming Lu, Mengru Kong
Summary: This paper discusses exponentially stable problem for a class of stochastic strict feedforward nonlinear systems, presenting a parameter-dependent controller to handle nonlinearities. Through coordinate transformation and parameter selection, the proposed controller ensures stability of the closed-loop system as demonstrated by stochastic Lyapunov stability theory. Simulation results validate the efficiency of the proposed controller.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Automation & Control Systems
Hanfeng Li, Xianfu Zhang, Shuai Liu
Summary: This article proposes an improved dynamic gain method for studying the global regulation problem of feedforward nonlinear systems. The method improves the convergence speed of the system state by designing a controller with a dynamic gain using a new time-varying function. The advantages of the improved dynamic gain method are illustrated through a simulation example.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Yiming Shao, Xianglei Jia, Xinxu Ju, Xiaocheng Shi
Summary: This paper addresses the problem of global decentralized output feedback control for a class of large-scale nonlinear systems with zero dynamics and unknown time-varying delay. A novel pair of time-varying-gain observer and controller is proposed, which can handle the nonlinearities of system disturbance and the feedforward growth restrictions with unknown growth rate. The closure of the system's states is proven to asymptotically converge to zero by using the Razumikhin theorem.
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
(2022)
Article
Automation & Control Systems
Kazuki Umemoto, Takahiro Endo, Fumitoshi Matsuno
Summary: This study investigates the stability of a sampled-value control system with time- and state-dependent disturbance and aperiodic sampling. The local stability on a compact set is considered by assuming local Lipschitz continuity, expanding the applicability of the sampled-value controller. Global stability under the assumption of global Lipschitz continuity is also discussed. Numerical simulations verify the effectiveness of the derived stability condition.
IET CONTROL THEORY AND APPLICATIONS
(2023)
Article
Automation & Control Systems
Xiaona Song, Peng Sun, Shuai Song, Vladimir Stojanovic
Summary: This article investigates the issue of adaptive neural network fixed-time tracking control for a class of strict-feedback nonlinear systems with prescribed performance demands. By incorporating an improved fractional-order command filtered backstepping control technique and an event-driven-based fixed-time adaptive controller, the signals of the closed-loop system are practically fixed-time bounded and the tracking error is regulated.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
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
Liang Liu, Mengru Kong
Summary: This paper discusses the global asymptotic stabilization problem of stochastic nonlinear systems with strict-feedforward structure and multiple time delays. Firstly, the considered system is transformed into an equivalent one by constructing a novel parameter-dependent state feedback controller and suitable coordinate transformation. Then, the global asymptotic stability of the stochastic closed-loop system is proved using the stochastic time delay system stability criterion and introducing the proper Lyapunov-Krasovskii functional. Simulation results demonstrate the effectiveness of the parameter-dependent state feedback controller.
Article
Automation & Control Systems
Weiwei Luo, Bin Zhou, Liang He, Guang-Ren Duan
Summary: This article investigates the global stabilization problem of the circular orbit rendezvous system with actuator saturation and time-delay, proposes linear state feedback controllers to address the issue, and proves the global stability of the closed-loop system. Optimal feedback gain is obtained in the delay-free case, and simulations demonstrate the effectiveness of the presented methods.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Engineering, Electrical & Electronic
Kang-Kang Zhang, Bin Zhou, Guang-Ren Duan
Summary: This paper studies the prescribed-time input-to-state stabilization problem of normal nonlinear systems under matched uncertainties, proposes some bounded time-varying controllers, and demonstrates the stability of closed-loop systems.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2022)
Article
Automation & Control Systems
Xiaoyu Luo, Chengcheng Zhao, Chongrong Fang, Jianping He
Summary: This paper investigates the problem of false data injection attacks in multi-agent dynamical systems and proposes FDI attack set selection algorithms to maximize the convergence error by finding the optimal subset of compromised agents.
Article
Automation & Control Systems
Nitin K. Singh, Abhisek K. Behera
Summary: In this paper, a twisting observer is proposed for robustly estimating the states of a second-order uncertain system. The observer approximates the unknown sign term for the non-measurable state with a delayed output-based switching function, and achieves the desired steady-state accuracy by controlling the delay parameter. The application of the observer to output feedback stabilization is also discussed.
Article
Automation & Control Systems
Alexander Aleksandrov
Summary: This paper investigates the absolute stability problem for positive Persidskii systems with delay, proposes a special construction method for diagonal Lyapunov-Krasovskii functionals, and derives a criterion for the existence of such functionals guaranteeing the absolute stability, as well as obtaining sufficient conditions for a family of time-delay Persidskii systems to construct a common diagonal Lyapunov-Krasovskii functional. The efficiency of the developed approaches is demonstrated through four examples.
Article
Automation & Control Systems
Noureddine Toumi, Roland Malhame, Jerome Le Ny
Summary: This paper addresses large multi-agent dynamic discrete choice problems using a linear quadratic mean field games framework. The model incorporates the features where agents have to reach a predefined set of possible destinations within a fixed time frame and running costs can become negative to simulate crowd avoidance. An upper bound on the time horizon is derived to prevent agents from escaping to infinity in finite time. The existence of a Nash equilibrium for infinite population and its epsilon-Nash property for a large but finite population are established. Simulations are conducted to explore the model behavior in various scenarios.
Article
Automation & Control Systems
Philippe Schuchert, Vaibhav Gupta, Alireza Karimi
Summary: This paper presents the design of fixed-structure controllers for the As2 and Asw synthesis problem using frequency response data. The minimization of the norm of the transfer function between the exogenous inputs and performance outputs is approximated through a convex optimization problem involving Linear Matrix Inequalities (LMIs). A general controller parametrization is used for continuous and discrete-time controllers with matrix transfer function or state-space representation. Numerical results show that the proposed data-driven method achieves performance equivalent to model-based approaches when a parametric model is available.
Correction
Automation & Control Systems
Zhijun Guo, Gang Chen
Article
Automation & Control Systems
Matteo Della Rossa, Thiago Alves Lima, Marc Jungers, Raphael M. Jungers
Summary: This paper presents new stabilizability conditions for switched linear systems with arbitrary and uncontrollable underlying switching signals. The study focuses on two specific settings: the robust case with completely unknown and unobservable active mode, and the mode-dependent case with controller depending on the current active switching mode. The technical developments are based on graph-theory tools and path-complete Lyapunov functions framework, enabling the design of robust and mode-dependent piecewise linear state-feedback controllers using directed and labeled graphs.
Article
Automation & Control Systems
Elena Petri, Romain Postoyan, Daniele Astolfi, Dragan Nesic, W. P. M. H. (Maurice) Heemels
Summary: This study investigates a scenario where a perturbed nonlinear system transmits its output measurements to a remote observer via a packet-based communication network. By designing both the observer and the local transmission policies, accurate state estimates can be obtained while only sporadically using the communication network.
Article
Automation & Control Systems
Jonas Krook, Robi Malik, Sahar Mohajerani, Martin Fabian
Summary: This paper proposes a method to synthesise controllers for cyber-physical systems subjected to disturbances, such that the controlled system satisfies specifications given as linear temporal logic formulas. The approach constructs a finite-state abstraction of the original system and synthesises a controller for the abstraction. It introduces the robust stutter bisimulation relation to account for disturbances and uncertainty, ensuring that related states have similar effects under the same controller. The paper demonstrates that the existence of a controller for the abstracted system implies the existence of a controller for the original system enforcing the linear temporal logic formula.
Article
Automation & Control Systems
Clement Chahbazian, Karim Dahia, Nicolas Merlinge, Benedicte Winter-Bonnet, Aurelien Blanc, Christian Musso
Summary: The paper derives a recursive formula of the Fisher information matrix on Lie groups and applies it to nonlinear Gaussian systems on Lie groups for testing. The proposed recursive CRLB is consistent with state-of-the-art filters and exhibits representative behavior in estimation errors. This paper provides a simple method to recursively compute the minimal variance of an estimator on matrix Lie groups, which is fundamental for implementing robust algorithms.
Article
Automation & Control Systems
Yiheng Fu, Pouria Ramazi
Summary: This study investigates the characteristics of decision fluctuations in heterogeneous populations and explores the uncertainties in imitation behavior. The findings are important for understanding the bounded rationality nature of imitation behaviors.
Article
Automation & Control Systems
Lars A. L. Janssen, Bart Besselink, Rob H. B. Fey, Nathan van de Wouw
Summary: This paper introduces a mathematical relationship between the accuracy of reduced-order linear-time invariant subsystem models and the stability and accuracy of the resulting reduced-order interconnected linear time-invariant model. This result can be used to directly translate the accuracy characteristics of the reduced-order subsystem models to the accuracy properties of the interconnected reduced-order model, or to translate accuracy requirements on the interconnected system model to accuracy requirements on subsystem models.
Article
Automation & Control Systems
Piyush Gupta, Vaibhav Srivastava
Summary: We study the optimal fidelity selection for a human operator servicing tasks in a queue, considering the trade-off between high-quality service and penalty due to increased queue length. By modeling the operator's cognitive dynamics and task fidelity, we determine the optimal policy and value function numerically, and analyze the structural properties of the optimal fidelity policy.
Article
Automation & Control Systems
Lukas Schwenkel, Alexander Hadorn, Matthias A. Mueller, Frank Allgoewer
Summary: In this work, the authors study economic model predictive control (MPC) in periodic operating conditions. They propose a method to achieve optimality by multiplying the stage cost by a linear discount factor, which is easy to implement and robust against online changes. Under certain assumptions, they prove that the resulting linearly discounted economic MPC achieves optimal asymptotic average performance and guarantees practical asymptotic stability of the optimal periodic orbit.
Article
Automation & Control Systems
Taher Ebrahim, Sankaranarayanan Subramanian, Sebastian Engell
Summary: We propose a robust nonlinear model predictive control algorithm for dynamic systems with mixed degrees of freedom. This algorithm optimizes both continuous and discrete manipulated variables, enhancing closed-loop performance. Our approach relies on a computationally efficient relaxation and integrality restoration strategy and provides sufficient conditions to establish recursive feasibility and guarantee robust closed-loop stability. The effectiveness of the approach is demonstrated through two nonlinear simulation examples.