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
Computer Science, Information Systems
Dingchao Wang, Cong Lin, Xiushan Cai
Summary: This paper investigates the output feedback stabilization problem for a class of high-order nonlinear systems with unknown output function and nonlinear terms. By designing a smooth state feedback control law, a high-order observer, and a dynamic output compensator, the closed-loop system can quickly converge to the equilibrium point.
Article
Engineering, Electrical & Electronic
Wei Liu, Mou Chen, Peng Shi
Summary: This paper proposes an adaptive hierarchical sliding mode control scheme for anti-disturbance tracking control of under-actuated quadcopter suspension transportation system (UQSTS). The under-actuated characteristics of UQSTS are handled by HSMC, and the external disturbance is estimated using the fixed-time sliding mode disturbance observer (FTSMDO). The stability of the closed-loop system is verified through Lyapunov-based stability analysis. Physical experiment results demonstrate the effectiveness and potential of the proposed control techniques.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2022)
Article
Automation & Control Systems
Zhenbin Du, Yonggui Kao, Ju H. Park
Summary: This paper addresses the interval type-2 fuzzy tracking control problem for nonlinear networked control systems with unreliable communication links. A tracking controller is designed for interval type-2 fuzzy sampled-data system under unreliable communication, enhancing stability through membership function characteristics and utilizing Lyapunov theory. The paper provides less conservative sufficient condition for designing networked tracking controller to ensure anticipated tracking performance, demonstrated through simulation examples.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Automation & Control Systems
Wanli Wang, Yan Lin, Qingrui Meng
Summary: This article considers adaptive output feedback tracking for a class of nonlinear systems with uncertain parameters, sensor uncertainties, and external disturbances. A state observer and an adaptive controller are constructed based on gain scaling technique to compensate for the effects of sensor uncertainties. The proposed scheme ensures that all states of the closed-loop system are bounded and the tracking error converges to an arbitrarily small residual set.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2023)
Article
Automation & Control Systems
Lei Wang, Christopher M. Kellett
Summary: This article studies the robust output feedback stabilization problem for multi-input-multi-output (MIMO) invertible nonlinear systems with output-dependent multipliers. An ideal state feedback is first designed and a set of extended low-power high-gain observers is systematically designed, resulting in a robust output feedback stabilizer that achieves semi-global asymptotic stability and improves numerical implementation.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Tiago A. Almeida, Carlos E. T. Dorea
Summary: The study focuses on the design of output feedback controllers for constrained linear discrete-time systems using set-invariance techniques, ensuring that state and input constraints are satisfied even in the presence of disturbances and noise. By using Output Feedback Controlled-Invariant (OFCI) polyhedra and dynamic output feedback compensators, greater sets of admissible initial states and estimation errors can be obtained while progressively reducing uncertainty on the state.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Automation & Control Systems
Alex dos Reis de Souza, Denis Efimov, Tarek Raissi
Summary: This article addresses the problem of robust output feedback model predictive control for discrete-time, constrained, linear parameter-varying systems. It proposes a controller that incorporates an interval observer and an interval predictor, providing guarantees on recursive feasibility, constraint satisfaction, and input-to-state stability.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Zihang Wei, Xiangze Lin
Summary: This paper investigates the problem of smooth output feedback stabilization for planar output-constrained switched nonlinear systems. A method combining the power integrator technique and the constructed common logarithm-type barrier Lyapunov function is proposed for designing state feedback controllers. By incorporating the designed variable-gain reduced-order observers, the switched systems can be stabilized via smooth output feedback with guaranteed output constraints.
Article
Engineering, Electrical & Electronic
Lingyu Zhang, Xuyang Lou, Zhan Wang
Summary: This paper presents a new output-based robust switching control rule for switched affine systems, based on observer-based feedback control or dynamic output feedback control. The proposed rule can drive the state of the switched affine system, with multiple equilibrium points, to a desired one and overcome the effects of parameter uncertainty and external disturbance. The stability conditions for the closed-loop systems are established using a common Lyapunov function and presented in the form of linear matrix inequalities.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2022)
Article
Computer Science, Artificial Intelligence
Wenqiang Ji, Jianbin Qiu, Shun-Feng Su, Heting Zhang
Summary: The paper investigates the fuzzy observer-based output feedback control of continuous-time nonlinear 2-D systems using Takagi-Sugeno (T-S) fuzzy models. The plant information of the 2-D systems evolves along two independent directions dynamically. Firstly, the nonlinear 2-D systems are expressed by T-S fuzzy models with parameter uncertainties. Then, two methods are developed for fuzzy observer-based output feedback controller synthesis using a Lyapunov method and convexification techniques, and novel output feedback controller synthesis results are proposed within a convex optimization setup. Simulation studies are provided to validate the proposed methods.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Rui Zhang, Bin Xu, Peng Shi
Summary: This article investigates the output feedback control of MEMS gyroscopes using neural networks and disturbance observer. It constructs state observer and high gain observer for unmeasured system states. Adaptive neural networks are used to approximate nonlinear dynamics and account for system uncertainties caused by environmental fluctuations. The disturbance observer is utilized to handle time-varying disturbances, while sliding mode control enhances robustness. Simulation results demonstrate that the proposed approach can adapt to the dynamics of MEMS gyroscopes with unmeasured system speed and achieve effective tracking performance even in the presence of unknown system nonlinearities and external disturbances.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
Article
Automation & Control Systems
Jian Chen, Hak-Keung Lam, Jinpeng Yu
Summary: This article studies the adaptive fuzzy event-triggered output feedback control for nonlinear systems with nonstrict feedback structure and variable disturbances. By proposing a fuzzy state observer with an adaptive parameter and constructing various control components, the adaptive fuzzy output feedback control scheme is built to ensure bounded signals and finite-time tracking errors. Simulation examples confirm the effectiveness of the proposed method.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Yiting Dong, Wei He, Linghuan Kong, Xiang Hua
Summary: The article investigates impedance control for coordinated robots interacting with unknown environments, improving robot-environment interaction performance without information about the environment. The proposed control algorithm allows the robotic system to follow commanded position trajectory in non-contact phase and achieve desired destination based on force exerted on the environment during contact phase.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Jing Wei, Bao-Zhu Guo
Summary: This paper considers the boundary output regulation problem for a one-dimensional reaction-diffusion equation with disturbances from both the domain and the boundaries. The control strategy involves designing a feedforward controller based on an infinite-dimensional regulator equation and a backstepping transformation, as well as an observer to estimate the states of the plant and the external system. The output feedback boundary control is then designed using the estimated states, ensuring exponential convergence to the reference signal over time.
Article
Automation & Control Systems
Hua-Cheng Zhou, Ze-Hao Wu, Bao-Zhu Guo, Yangquan Chen
Summary: This paper studies the boundary stabilization and disturbance rejection problem for an unstable time fractional diffusion-wave equation with Caputo time fractional derivative. State feedback control and output feedback control are proposed for the case of no boundary external disturbance, and a disturbance estimator and a new control law are designed for the case with boundary external disturbance. Rigorous mathematical proofs are presented.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
(2022)
Article
Automation & Control Systems
Jiankang Liu, Ruiqi Hao, Bao-Zhu Guo
Summary: This paper considers the uniform exponential stability approximation of a one-dimensional Schrodinger system with boundary damping. The order reduction method is adopted to transform the original system into an equivalent one, and two second-order semi-discretized finite difference schemes are derived. The Lyapunov function method is then used to prove the uniform exponential stability of the semi-discretized transformed system.
SYSTEMS & CONTROL LETTERS
(2022)
Article
Automation & Control Systems
Bao-Zhu Guo, Ren-Xi Zhao
Summary: This paper considers output regulation for a 1-d heat equation using an adaptive observer internal model approach to estimate unknown frequencies and achieve output regulation and disturbance rejection for this PDE.
Article
Automation & Control Systems
Wen Kang, Xiao-Nan Wang, Bao-Zhu Guo
Summary: This work proposes an observer-based fuzzy quantized control method for stochastic third-order parabolic partial differential equations (PDEs). The method introduces three types of quantizers and reduces the energy consumption of the system. Different stability results are presented for each case, and sufficient LMI-based conditions are investigated to ensure the stability and performance of the system.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Hongyinping Feng, Bao-Zhu Guo
Summary: This paper designs an observer for SISO linear finite-dimensional systems corrupted by general disturbances. The proposed observer, called extended dynamics observer (EDO), can estimate both state and disturbance simultaneously. The observer design assumes that the plant with unknown disturbance is observable. The main advantage of this method is the maximum utilization of prior information of the disturbance. The well-posedness of EDO is established and the theoretical results are validated by numerical simulations. (c) 2023 European Control Association. Published by Elsevier Ltd. All rights reserved.
EUROPEAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Ze-Hao Wu, Hua-Cheng Zhou, Feiqi Deng, Bao-Zhu Guo
Summary: In this article, a novel control strategy, disturbance observer-based control, is applied to stabilize and reject disturbances in an antistable stochastic heat equation with boundary actuation and unknown external disturbance. The control design uses a disturbance observer to estimate and reject the unknown disturbance, and attenuates the in-domain multiplicative noise. The stability of the resulting closed-loop system is demonstrated. A numerical example validates the effectiveness of the proposed control approach.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Tingting Meng, Bao-Zhu Guo
Summary: In this article, we address the problem of robust output regulation for an MIMO wave system with disturbance and reference from an exosystem. We propose an observer-based approach from the perspective of partial differential equations (PDEs). The main differences from previous works lie in our consideration of exosystems with non-algebraically simple eigenvalues and the direct design of tracking error feedback controls from the uncertain PDEs themselves. We introduce transformations to convert the original system into a disturbance-free system and each reference into a linear combination of the exosystem, allowing for the design of an observer and feedforward controls. The robustness of the closed-loop system is discussed through stability analysis.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Mathematics, Applied
Fei Wang, Jun-Min Wang, Xiao-Hui Wu
Summary: This paper investigates the exact controllability of a Schrodinger equation by boundary coupling a wave equation and designing a control in the wave equation. By spectral analysis, an asymptotic expansion for the eigenvalues and eigenfunctions of the corresponding dual system is presented, and the observability inequality is obtained. The exact controllability of the coupled system is achieved based on the duality principle.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2023)
Article
Mathematics, Applied
Fu Zheng, Sijia Zhang, Huakun Wang, Bao-Zhu Guo
Summary: In this paper, the exponential stabilization problem of a heat-wave coupled system under boundary control and collocated observation is considered. Two kinds of feedback strategies, namely static negative proportional feedback and dynamic feedback, are designed. The exponential stabilities of the closed-loop systems under different feedbacks are verified using the Lyapunov function direct method. The H infinity robustness is further analyzed and related sufficient conditions are developed. Additionally, the closed-loop systems are discretized into semi-discrete systems using a new finite difference method, and the uniform exponential stabilities of the discrete systems are established using an approach paralleling the continuous counterpart.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2023)
Article
Mathematics, Applied
Nurehemaiti Yiming, Bao-Zhu Guo
Summary: In this paper, the asymptotic behavior of an M/G/1 retrial queueing system with server breakdowns is studied, and it is described by infinitely many partial integro-differential equations. The stability and convergence properties of the system are analyzed through the investigation of the system operator's spectrum. The results show the strong stability of the time-dependent solution in the natural Banach state space and the convergence of the solution to its steady-state solution when the server failure rate is zero. Additionally, the properties of the system operator and the corresponding C0-semigroup are examined.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2023)
Article
Automation & Control Systems
Mengling Li, Ze-Hao Wu, Feiqi Deng, Bao-Zhu Guo
Summary: In this article, the active disturbance rejection control approach is applied for the first time to address the disturbance rejection and consensus problems in a class of second-order stochastic multiagent systems with undirected and connected network topology. Extended state observers are designed to estimate the unmeasured states and random total disturbance, and active antidisturbance consensus protocols are proposed to achieve consensus in mean square and almost sure practical sense. Numerical simulations are conducted to validate the effectiveness of the consensus protocols.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2023)
Article
Automation & Control Systems
Bao-Zhu Guo, Hao-Lan Peng, Ze-Hao Wu
Summary: In this paper, the convergence of a nonlinear tracking differentiator constructed from a finite-time stable system is considered in the presence of bounded stochastic noise. The existence of global weak solutions is proved, and it is shown that the nonlinear tracking differentiator tracks the input signal in the almost surely practical sense. The convergence accuracy of the proposed differentiator is demonstrated to be higher than that of the linear tracking differentiator with the same tuning parameter through numerical simulations.
IFAC JOURNAL OF SYSTEMS AND CONTROL
(2023)
Article
Automation & Control Systems
Pei-Hua Lang, Hongyinping Feng, Zi-Yun Ding
Summary: This paper proposes a new approach to design dynamic feedback for linear systems with input disturbance, effectively compensating for the disturbance in the control channel. The interesting characteristic of disturbance robustness of dynamic feedback is discovered, allowing for the consideration of the disturbance-free system in the design. Numerical simulations are provided to visually validate the theoretical results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Zhi-Liang Zhao, Ruonan Yuan, Bao-Zhu Guo, Zhong-Ping Jiang
Summary: This paper considers the finite-time stabilization problem for a class of multi-input multi-output nonlinear systems composed of several different subsystems. It presents a novel decentralized, continuous finite-time output-feedback control algorithm by compensating the unknown nonlinear couplings and applying a saturation technique. The effectiveness of the proposed design is validated through rigorous mathematical analysis and numerical simulations.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
(2023)
Article
Automation & Control Systems
Qiaomin Xiang, Ze-Hao Wu, Ju H. Parks, Bao-Zhu Guo
Summary: This paper investigates the observability and observer design for a class of systems described by two-dimensional hyperbolic PDEs with superlinear boundary conditions that can exhibit chaos. The exact and approximate observability are proven using the method of characteristic and boundary reflection relations. Based on observability, two types of Luenberger PDE observers are designed, using boundary velocity and boundary displacement measurements respectively. Sufficient conditions are developed to guarantee the global exponential stability and global asymptotic stability of the observer error systems. Numerical simulations are conducted to validate the theoretical findings.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
(2023)
