Article
Automation & Control Systems
Wenlong Yang, Zongying Shi, Yisheng Zhong
Summary: This paper investigates the robust time-varying formation control problems for a class of higher-order multi-agent systems subject to communication delays and heterogeneous uncertainties. Both cases of partially known and unknown time-varying communication delays are considered, and a unified formation control protocol is proposed to achieve the desired formation and restrain the influences of uncertainties. Sufficient conditions in terms of LMI are derived to achieve the desired time-varying formation, and an algorithm is concluded to design the presented formation protocol in four steps. The effectiveness of the proposed control schemes is demonstrated through numerical simulation results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Martin Steinberger, Martin Horn, Antonella Ferrara
Summary: A discrete-time adaptive control approach for uncertain linear multivariable networked systems is proposed in this study, which can handle unknown time delays and reduce conservatism effectively. Simulation examples show that the proposed technique outperforms a nonadaptive algorithm.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Mathematics, Applied
Yuzhen Chen, Haoxin Liu, Rui Dong
Summary: This paper proposes a new method to address the stabilization problem of uncertain saturated linear systems with multiple discrete delays. By constructing a new type of Lyapunov-Krasovskii functional and incorporating integral inequalities, stabilization and robust stabilization conditions are derived.
Article
Automation & Control Systems
Zhouzhou Xue, Zhaoxu Yu, Shugang Li
Summary: This paper addresses the adaptive tracking problem for a class of uncertain nontriangular nonlinear systems with time-varying delays. A novel event-triggered mechanism including saturation is presented to pursue low communication burden and competitive control performance. The developed event-based adaptive neural control strategy guarantees that the tracking error remains in a small neighborhood of the origin while all the signals in closed-loop systems are semi-global uniformly ultimately bounded.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2022)
Article
Automation & Control Systems
Xiao Chen, Wenxiang Deng, Jianyong Yao, Yaowen Ge
Summary: This paper presents a study on high-accuracy tracking control and parameter estimation for semi-strict feedback systems with unknown time-varying parameters. An optimized indirect adaptive controller based on Z-swapping and improved least-square algorithm is proposed to handle parametric and unmolded uncertainties simultaneously. The stability analysis based on Lyapunov theorem shows that the proposed method can achieve the desired estimating result and satisfactory tracking performance.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Engineering, Multidisciplinary
Ali Mehrjouyan, Mohammad B. Menhaj, Mohammad A. Khosravi
Summary: This study introduces a new robust adaptive control law for nonlinear bilateral teleoperation systems, which can handle time-varying delays, external disturbances, and uncertain dynamics in a unified framework, and mitigate the impact of force sensors on the system by developing a novel adaptive torque observer. The key point of the algorithm is to enhance the robust behavior of the system in the presence of various uncertainties by adding an auxiliary term in the control loop.
Article
Automation & Control Systems
Yanliang Cui, Lanlan Xu
Summary: This paper proposes an event-triggered control method for uncertain linear systems with process time-varying delays, which reduces the data transmission amount from the sensor to the controller through an adaptive event trigger. The closed-loop system stability is guaranteed while minimizing the data transmission.
INTERNATIONAL JOURNAL OF CONTROL
(2022)
Article
Automation & Control Systems
Vahid Azimi, Siavash Farzan, Seth Hutchinson
Summary: This paper proposes a robust stabilizing control method for uncertain nonlinear systems with modeling errors by extending and encompassing the Riccati equation-based control approaches. The linearization of the nonlinear system and the modified continuous differential Riccati equation (MCDRE) are used to handle the system matrix uncertainty. An optimal least squares (OLS) algorithm is presented for identifying the uncertainty and updating the control gains. The unified MCDRE and OLS result in a robust time-varying Riccati-based (RTVR) controller, which stabilizes the uncertain nonlinear systems without prior knowledge of the uncertainty structure.
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME
(2022)
Article
Automation & Control Systems
Yalin Deng, Huasheng Zhang, Jianwei Xia, Wei Sun
Summary: This article investigates the exponential H-infinity tracking control problem of uncertain switched stochastic systems with mixed time-varying delays. A delay-dependent sufficient conclusion is obtained, ensuring the system stability and H-infinity tracking performance. Corresponding controllers are designed based on the stability analysis.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Mathematics, Interdisciplinary Applications
Xin Chen, Yuanguo Zhu
Summary: This paper applies chance theory to study optimal control for uncertain random singular systems with multiple time-delays, deriving appropriate recurrence equations and discussing two kinds of optimal control problems. It provides the optimal control inputs and respective optimal values through the solvability of the obtained equations. A numerical example demonstrates the effectiveness of the theoretical results.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Automation & Control Systems
Meng Sun, Guangming Zhuang, Jianwei Xia, Qian Ma, Guoliang Chen
Summary: This article investigates robust dynamic output feedback stabilization for uncertain time-varying delays singular Markovian jump systems. It provides sufficient conditions of robust admissibility for unforced nominal time-varying delays SMJSs by using improved Lyapunov-Krasovskii functional. The robust DOF stabilization problem is solved by constructing a DOF controller that satisfies robust admissibility. The practicality of the results is demonstrated through numerical and practical examples.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Multidisciplinary Sciences
Xuemiao Chen, Ziwen Wu, Jing Li, Qianjin Zhao
Summary: This paper proposes an adaptive neural dynamic surface control method for a class of uncertain stochastic nonlinear systems with input time-varying delays. The method utilizes neural network approximation technique to approximate unknown continuous functions online and constructs the desired controller based on the DSC scheme. A compensation system and Lyapunov-Krasovskii functionals are introduced to compensate for the effects of input delay and state delay. The asymptotic regulation performance of the closed-loop system is guaranteed under the developed controller, demonstrated through simulation results.
Article
Computer Science, Artificial Intelligence
Hong Cheng, Xiucai Huang, Hongwei Cao
Summary: This paper proposes a method to achieve asymptotic tracking control for uncertain nonlinear strict-feedback systems with unknown time-varying delays and unknown control direction. The Lyapunov-Krasovskii functional is used to deal with the time delays, and the neural network is applied to compensate for the unknown terms arising from the derivative of the Lyapunov-Krasovskii functional. An NN-based adaptive control scheme is constructed based on backstepping technique, and the output tracking error is ensured to converge to zero asymptotically. The proposed method settles the singularity issue commonly encountered in coping with time delay problems and improves the transient performance with proper choice of design parameters.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Shiqi Wang, Hui Li, Hua Li, Huiyuan Shi, Qiubai Sun, Ping Li
Summary: A robust dynamic output feedback predictive control approach is proposed for a discrete system with time-varying delays, unknown external disturbances, and unmeasurable states. An incremental state deviation model is used to establish a novel tracking deviation feedback model, and a robust predictive control law with more degrees of freedom is designed. The stability condition is given in LMI form using the LMI method, relaxation technique, and variable transformation method, allowing the controller to tolerate a greater range of time-varying delays.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2023)
Article
Automation & Control Systems
Wenying Yuan, Yuechao Ma
Summary: This paper investigates the problem of finite-time Hoo synchronization for complex dynamical networks with time-varying delays and unknown internal coupling matrices. It presents an adaptive control method to solve the synchronization problem by utilizing appropriate adaptive controllers and devising a special Lyapunov-Krasovskii function.
