Article
Automation & Control Systems
Hua-Cheng Zhou, Hongyinping Feng
Summary: The output feedback stabilization of a Euler-Bernoulli beam equation with boundary moment control and disturbance is studied, and a new disturbance estimator and control law are proposed. The closed-loop system is proven to be exponentially stable, with bounded signals in the disturbance estimator.
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
(2021)
Article
Automation & Control Systems
Bao-Zhu Guo, Ren-Xi Zhao
Summary: This paper introduces a new approach for output regulation of the Euler-Bernoulli beam equation, inspired by a recent paper. The proposed method can handle disturbances from an unknown external system, where the frequencies and number of disturbances are unknown. By using the Sylvester equation and adaptive observers, the unknown frequencies can be estimated to achieve output regulation.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
(2023)
Article
Mathematics, Applied
Zhan-Dong Mei
Summary: We study the dynamic stabilization problem of a cascaded Euler-Bernoulli beam (EBB) partial differential equation (PDE)-ordinary differential equation (ODE) system with boundary control and matched internal uncertainty and external disturbance. An infinite-dimensional disturbance estimator is constructed to estimate the total disturbance, and a state observer is designed to trace the state by compensating the total disturbance. An estimated state and estimated total disturbance-based output feedback control law is also proposed. It is proven that the original system is exponentially stable and other states of the closed-loop are bounded. Numerical simulations are provided.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Xueru Fan, Chunhai Kou
Summary: This paper studies the stabilization problem for a Euler-Bernoulli beam equation with boundary observation subject to a general external disturbance. A new infinite dimensional estimator is designed to estimate the disturbance in real time. The paper also proposes a boundary output feedback control to stabilize the system. Theoretical results are validated through a numerical example.
APPLICABLE ANALYSIS
(2023)
Article
Mathematics, Applied
Zhan-Dong Mei, Yi-Lin Mo
Summary: This paper focuses on performance output tracking for an Euler-Bernoulli beam equation with moment boundary control and shear boundary disturbance. The authors propose an infinite-dimensional disturbance estimator and an output feedback control law to compensate for the disturbance. It is proved that the performance output exponentially tracks the reference signal, and the closed-loop system remains bounded. The importance of this work lies in addressing the shear boundary term and presenting key steps to handle the problem.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Automation & Control Systems
Zhan-Dong Mei, Ji-Gen Peng
Summary: This paper discusses the exponential stabilization of an Euler-Bernoulli beam (EBB) partial differential equation (PDE)-ordinary differential equation (ODE) cascaded system with an actuator placed on the PDE boundary. In the absence of internal uncertainty and external disturbance, a state feedback controller is constructed to exponentially stabilize the system. In the presence of internal uncertainty and external disturbance, an infinite-dimensional extended state observer is designed to estimate the state and total disturbance simultaneously. An estimated state and estimated disturbance based controller is then constructed. It is proved that the original system is exponentially stable and the whole closed-loop system is bounded. Numerical simulations are carried out to illustrate the effectiveness of the proposed control strategy.
SYSTEMS & CONTROL LETTERS
(2023)
Article
Mathematics
Baolin Ma, Yiyue Sun, Guojie Zheng
Summary: This paper investigates the stabilization of an unstable stochastic heat equation using the backstepping technique. It proposes a boundary feedback control scheme to stabilize the system and proves its robust stability against disturbances in the control channel under suitable conditions. Numerical simulations are provided to support the theoretical results.
JOURNAL OF MATHEMATICS
(2022)
Article
Automation & Control Systems
Zhan-Dong Mei
Summary: This paper investigates the dynamic stabilisation of a one-dimensional Euler-Bernoulli beam equation with boundary moment control and matched nonlinear uncertain disturbance. It is shown that a boundary feedback control law can exponentially stabilise the system and Riesz basis generation holds for the closed-loop system when there is no disturbance. An infinite-dimensional disturbance estimator is designed to estimate the total disturbance without the requirement of slow variation or high gain or boundedness of the derivation of the disturbance. Based on the disturbance estimator, an output feedback control law is designed. The Riesz basis generation and exponential stability of a couple system including the original equation are proven. The boundedness of the closed-loop system is also verified. Numerical simulations are presented to illustrate the results.
INTERNATIONAL JOURNAL OF CONTROL
(2022)
Article
Automation & Control Systems
Zhan-Dong Mei, Hua-Cheng Zhou
Summary: In this article, the output feedback exponential stabilization of a one-dimensional wave equation with control matched nonlinear disturbance is studied. An infinite-dimensional unknown input state observer is designed to estimate the total disturbance in real time, leading to the convergence of the disturbance estimator. Based on this, a state observer and an estimated state feedback controller are designed to exponentially stabilize the original system using the Riesz basis approach, with numerical simulations presented for validation.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Automation & Control Systems
Wenyi Pei, Yuejuan Xi, Yaozhong Hu, Litan Yan
Summary: In this paper, the emerging control approach of active disturbance rejection control (ADRC) is applied to output-feedback stabilization for uncertain nonlinear systems disturbed by external stochastic disturbance. An efficient extended state observer (ESO) is designed for estimation, and an ESO-based output-feedback control approach with stability in the mean squared sense is developed. The effectiveness of the approach is demonstrated through a numerical simulation.
SYSTEMS & CONTROL LETTERS
(2021)
Article
Automation & Control Systems
Louis Tebou
Summary: In this paper, we consider two one-dimensional fluid-structure models with degenerate parabolic components. For the first model, we show that the underlying semigroup is polynomially stable when the degeneracy is weak. For the second model, we prove that the semigroup is exponentially stable. These results generalize and improve existing ones in the one-dimensional setting, while providing simpler proofs.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
(2022)
Article
Automation & Control Systems
Abdeljalil Benabdelhadi, Fouad Giri, Tarek Ahmed-Ali, Miroslav Krstic, Hassan El Fadil, Fatima-Zahra Chaoui
Summary: In this study, the problem of state observer design for wave PDEs with Lipschitz nonlinearities and parameter uncertainties is considered. An adaptive boundary observer is developed using the decoupling transformation design approach, which consists of a state observer, a least-squares type parameter adaptive law, and a hyperbolic auxiliary filter. The novelty lies in the wider class of systems studied and the significant difference of the proposed adaptive observer compared to existing ones for wave-type PDEs.
Article
Mathematics, Applied
Patricio Guzman, Esteban Hernandez
Summary: In this paper, the problem of boundary stabilization of the heat equation subjected to an unknown disturbance is addressed. A multivalued feedback law is designed using Lyapunov techniques and the sign multivalued operator to reject the effects of the disturbance and achieve exponential stability of the closed-loop system. The well-posedness of the closed-loop system, which is a differential inclusion, is proven using the maximal monotone operator theory.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Hua-Lei Zhang
Summary: In this paper, the stability of a one-dimensional wave equation with local degenerate Kelvin-Voigt damping and discontinuous coefficients is studied. The domain of the wave equation is a bounded interval, and the support of the damping coefficient function is a subinterval that excludes the endpoints of the bounded interval. The damping coefficient function behaves like power functions near the endpoints of the subinterval. By employing the frequency domain method and suitable regularity assumptions on the coefficients, it is shown that the energy of the wave equation decays polynomially, with the decay rate depending on the exponents of power functions.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Automation & Control Systems
Wonseok Ha, Juhoon Back
Summary: This article presents a robust output feedback stabilizer for multi-input-multi-output nonlinear systems subject to external disturbances and system uncertainties. The stabilizer is designed based on the assumption that there exists a state feedback controller that makes the origin of the nominal closed-loop system asymptotically stable. The proposed controller can handle the nonlinearity of the input gain matrix of the nominal system.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Mathematics, Applied
Baowei Feng, Hua-Cheng Zhou, Xin-Guang Yang
APPLICABLE ANALYSIS
(2019)
Article
Automation & Control Systems
Hua-Cheng Zhou, Bao-Zhu Guo
EUROPEAN JOURNAL OF CONTROL
(2018)
Article
Automation & Control Systems
Bin-Bin He, Hua-Cheng Zhou, YangQuan Chen, Chun-Hai Kou
IET CONTROL THEORY AND APPLICATIONS
(2018)
Article
Automation & Control Systems
Wei Guo, Hua-cheng Zhou, Miroslav Krstic
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2018)
Article
Engineering, Mechanical
Bin-Bin He, Hua-Cheng Zhou, Chun-Hai Kou, YangQuan Chen
NONLINEAR DYNAMICS
(2018)
Article
Automation & Control Systems
Hua-Cheng Zhou, Bao-Zhu Guo
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
(2018)
Article
Mathematics, Applied
Hua-Cheng Zhou, Wei Guo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2019)
Proceedings Paper
Automation & Control Systems
Hua-Cheng Zhou, George Weiss
Proceedings Paper
Automation & Control Systems
Hua-Cheng Zhou, George Weiss
Proceedings Paper
Automation & Control Systems
Vivek Natarajan, Hua-Cheng Zhou, George Weiss
2017 AMERICAN CONTROL CONFERENCE (ACC)
(2017)
Proceedings Paper
Automation & Control Systems
Hua-Cheng Zhou, Bao-Zhu Guo, Cui-Zhen Yao
Proceedings Paper
Automation & Control Systems
Hua-Cheng Zhou, George Weiss
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)
(2017)
Proceedings Paper
Automation & Control Systems
Hua-Cheng Zhou, Jian-Hua Chen, George Weiss
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)
(2017)
Article
Engineering, Multidisciplinary
Hua-Cheng Zhou
APPLIED MATHEMATICAL MODELLING
(2017)
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.
