Article
Automation & Control Systems
Yang Liu, Xiaoying Chen, Jianquan Lu, Weihua Gui
Summary: This paper investigates the non-weighted l(2)/L-2-gain performance for asynchronously switched systems in both discrete-time and continuous-time cases. By utilizing Lyapunov-like functions and inequality analysis technique, a non-weighted l(2)/L-2-gain is guaranteed for asynchronously switched systems, with LMIs conditions proposed to improve the performance of linear systems.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2021)
Article
Mathematics
Chao Liu, Xiaoyang Liu
Summary: This paper studies the stability of linear switched systems with time-varying delays and all unstable subsystems. It proposes a state-dependent switching rule based on the largest region function strategy. By introducing integral inequality and multiple Lyapunov-Krasovskii functionals, the stability results of delayed switched systems are derived under the designed switching rule for different assumptions on time delay. Numerical examples are provided to demonstrate the effectiveness and superiority of the proposed results.
Article
Automation & Control Systems
Zhichuang Wang, Jian Sun, Jie Chen
Summary: This article addresses the stability problem of switched nonlinear systems with multiple time-varying delays using multiple Lyapunov-Krasovskii functionals technique and T-S fuzzy models. A novel switching signal is developed to eliminate the effect of the increment energy of Lyapunov functions for unstable modes, and the effectiveness of the method is validated through numerical simulations.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Mathematics, Applied
Yalin Deng, Huasheng Zhang, Yuzhen Dai, Yuanen Li
Summary: This paper considers the interval stability/stabilization of linear stochastic switched time-varying delay systems. Firstly, the definition of interval stability is provided and the sufficient conditions for interval stability of linear stochastic switched systems are addressed. Different from current stability conditions, the interval stability criterion can make more accurate judgment than stability of linear stochastic switched time-varying delay systems. Secondly, the criterion for interval stabilization is obtained by linear matrix inequalities, which can not only ensure the stability of the system but also accelerate or slow down the convergence of the system. Finally, the validity of the theoretical results is verified through digital simulation and water quality preservation problem.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Automation & Control Systems
Ronghao Wang, Jianchun Xing, Zhengrong Xiang
Summary: This study investigates the finite-time stabilization and finite-time bounded stabilization of linear time-varying switched systems in the framework of asynchronous control. Necessary and sufficient conditions are proposed for finite-time stability, and a sufficient condition for finite-time boundedness is extended using the average dwell time method. State feedback stabilization conditions are also given in the form of nonlinear DMIs for asynchronously switched control. Examples are provided to illustrate the validity of the results.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2021)
Article
Engineering, Multidisciplinary
Lulu Feng, Ping Zhao
Summary: The paper discusses the finite-time stability of switched linear time-varying systems with time-varying delay. A sufficient criterion for FTS of SLTV systems with time-varying delay is obtained, and a state feedback controller is designed based on the criterion to achieve FTS of the closed-loop system. An example is used to demonstrate the validity of the results.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2021)
Article
Automation & Control Systems
Junfeng Zhang, Denis Efimov
Summary: This paper investigates the fixed-time and finite-time stability of switched nonlinear time-varying time-delay systems, constructing Lyapunov-Krasovskii functionals with indefinite derivative and designing average dwell time switching laws. The results obtained show potential applications in stability analysis of other hybrid systems.
INTERNATIONAL JOURNAL OF CONTROL
(2022)
Article
Mathematics, Applied
Di Cui, Wencheng Zou, Jian Guo, Zhengrong Xiang
Summary: This work investigates the problem of adaptive finite-time tracking control for switched nonlinear systems considering backlash-like hysteresis and time-varying delay. The use of radial basis function neural networks allows for relaxation of the restriction on unknown nonlinear functions. Dynamic surface technology and finite-time control approach address the curse of dimensionality and singularity problems in the backstepping design procedure separately. The proposed finite-time signal using Lyapunov-Razumikhin function scheme guarantees superior tracking performance under average dwell time switching.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Mathematics, Interdisciplinary Applications
Meng Zhang, Quanxin Zhu
Summary: This article extends the finite-time input-to-state stability (FTISS) to switched stochastic time-varying nonlinear systems with time delays, and analyzes the conditions for obtaining input-state stability of nonlinear switched stochastic delayed systems in the framework of finite time using the methods of comparison principle and average dwell-time approach.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Automation & Control Systems
Huabin Chen, Cheng-Chew Lim, Peng Shi
Summary: This paper investigates the input-to-state stochastic stability for neutral switched stochastic delay systems by incorporating multiple Lyapunov-Krasovskii functions, generalized delay integral inequality, and mode-dependent average dwell time, and provides sufficient conditions for two cases. A simulation example is also presented to demonstrate the effectiveness of the theoretical results.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
(2021)
Article
Automation & Control Systems
Wenqin Wang, Xin Qi, Shouming Zhong, Feng Liu
Summary: This article studies the finite-time boundedness and control problem for time-delay switched systems with uncertainties. The delay is considered as time-varying delay rather than constant delay, which is more suitable for practical engineering. The author first researches the property of finite time boundedness for uncertain switched system without control input by constructing a proper Lyapunov-Krasovskii functional (LKF) and minimum LKF switching rules. Then, a state feedback controller with switching is designed, and sufficient conditions for finite-time boundedness of time-delay switched systems with control input and controller gain are presented by utilizing Finsler's Lemma and singular value decomposition (SVD). Additionally, a filter system is designed to obtain the finite time boundedness and filter parameters of the closed-loop error system using the auxiliary matrix method. The proposed methods are demonstrated to be feasible and the significance of switching rule is shown through two numerical examples.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Jialin Chen, Wu-Hua Chen, Xiaomei Lu
Summary: This article discusses the problems of achieving exponential stability and finite hybrid L-2 x L(2)-gain for linear neutral time-delay systems with impulsive effects under continuous and discrete disturbances. A novel piecewise Lyapunov functional is introduced to analyze the stability of the system considering state-delay and impulse-dwell-time impacts, and the criteria for stability and gain are expressed in terms of linear matrix inequalities. The effectiveness of the proposed methods is demonstrated through numerical examples.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Wenqin Wang, Xin Qi, Shouming Zhong, Feng Liu
Summary: This paper explores the finite-time boundedness and controller problem of switching nonlinear delay systems. By selecting an appropriate Lyapunov-Krasovskii functional and using the auxiliary matrix method, the upper and lower bounds of integral terms are obtained and the Lyapunov matrix is separated from the system matrix. A new state-dependent switching law is designed to switch between subsystems. The finite-time boundedness of delayed system without control input is analyzed and a sufficient condition for the finite-time boundedness of switched systems with control input is obtained. An observer-based H-infinity controller is designed to ensure the boundedness and H-infinity performance of the closed-loop system with time-varying delay. Simulations are conducted to verify the effectiveness and feasibility of the proposed methods.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Mathematics
Xikui Liu, Wencong Li, Chenxin Yao, Yan Li
Summary: This paper addresses the finite-time guaranteed cost control problem for Ito Markovian jump systems with time-varying delays. It presents new sufficient conditions for the existence of guaranteed cost controllers using the linear matrix inequality approach. Based on these conditions, the desired controllers are designed and the upper bound of cost performance is provided. An example is employed to demonstrate the validity of the obtained results.
Article
Mathematics, Applied
Yidan Wang, Li Xiao, Yanfeng Guo
Summary: This paper investigates the finite-time stability (FTS) of singular switched systems with time-varying delays and perturbations. First, the concept of FTS of time-varying delay singular switched systems is introduced, and a specific event-triggered mechanism is proposed. Then, a state feedback mechanism is proposed based on the event-triggered mechanism. Second, using the L-K function and state space decomposition, sufficient criteria for the FTS of singular switched systems are found. Additionally, sufficient requirements are presented for meeting the finite-time stable H infinity performance index gamma.
Article
Automation & Control Systems
Zhong-Xin Fan, Avizit Chandra Adhikary, Shihua Li, Rongjie Liu
Summary: This article proposes a novel anti-disturbance inverse optimal controller design for high-dimensional chain structure systems with any disturbances. The disturbances in the system are estimated using a disturbance observer, and then incorporated in the virtual control laws using the backstepping approach. A control Lyapunov function (CLF) is obtained, and a composite controller is designed using an inverse optimal control method. Stability analysis and simulation study demonstrate that the proposed composite controller achieves good performance and stabilizes the system with disturbances.
OPTIMAL CONTROL APPLICATIONS & METHODS
(2023)
Article
Automation & Control Systems
Guodong Wang, Xiangyu Wang, Shihua Li
Summary: This paper investigates the finite-time formation control problems of heterogeneous multi-agent systems subject to mismatched and matched disturbances. A novel signal generator based finite-time formation control scheme is proposed to achieve the desired control goal. The proposed scheme consists of a distributed finite-time signal generator and composite anti-disturbance controllers, which enable the agents to track the formation references in finite time. Compared with existing results, the proposed scheme solves the disturbed finite-time formation control problems with different agent orders and dimensions, simplifies the controller design, and provides a plug and play feature for the agents.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Chengqian Zhou, Chen Dai, Jun Yang, Shihua Li
Summary: This work investigates the problem of simultaneous prescribed performance tracking control and mismatched disturbance rejection for a class of strict-feedback nonlinear systems. A novel control scheme combining prescribed performance control, disturbance observer technique, and backstepping method is proposed. The proposed controller guarantees both transient and steady-state performance specifications of tracking error, as well as providing better disturbance attenuation ability.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Xiangze Lin, Jingxin Huang, Jessie Park
Summary: This study investigates the finite-time non-smooth stabilization of cascade output-constrained switched systems via state feedback. State feedback controllers are constructed using the power integrator technique, and the stability analysis is carried out using the tangent-type barrier Lyapunov function. The proposed method operates in a unified framework and implicitly guarantees the output constraint of the switched systems.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Engineering, Aerospace
Xinming Wang, Di Wu, Jingang He, Jinpeng Zhang, Shihua Li
Summary: With the widespread use of electronic equipment in flight vehicles, control signals in the discrete-time domain have become common. However, many existing guidance and control schemes are designed in the continuous-time domain and may not be applicable in the discrete-time domain, particularly for sliding mode control. To address this issue, a chattering-free discrete-time sliding mode control scheme is proposed for missile integrated guidance and control systems. The effectiveness of the proposed scheme is verified through comparative numerical simulations involving unknown target maneuvers and parameter uncertainties.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING
(2023)
Article
Automation & Control Systems
Zihang Wei, Jingxin Huang, Xiangze Lin, Chih-Chiang Chen
Summary: This paper investigates the finite-time stabilization problem of output-constrained planar switched systems using output feedback. State feedback control laws are systematically constructed by combining the revamped adding a power integrator technique with the elaborately designed logarithm-type barrier Lyapunov function. By merging the constructed variable-gain switched observers, finite-time output-feedback stabilization is achieved while meeting the output constraint. Simulations are presented to demonstrate the effectiveness of the proposed method.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Weiming Liu, Xiangyu Wang, Shihua Li
Summary: This article investigates the formation control problem for leader-follower wheeled mobile robots (WMRs) and proposes a formation control strategy based on the embedded control technique. The strategy decomposes the formation control task into two subtasks: virtual signal generator design and trajectory tracking controller design. The feasibility and effectiveness of the proposed strategy are demonstrated through rigorous stability analysis and comparative simulations/experiments.
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
(2023)
Article
Automation & Control Systems
Lu Zhang, Zhiyong Chen, Xinghuo Yu, Jun Yang, Shihua Li
Summary: This article studies an alternative sliding-mode-based approach for robust output regulation, which addresses disturbance rejection and reference tracking simultaneously by introducing the concept of sliding-mode-based output zeroing manifold.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2023)
Article
Computer Science, Artificial Intelligence
Jinya Su, Xiaoyong Zhu, Shihua Li, Wen-Hua Chen
Summary: Precision Agriculture (PA) is gaining increasing attention in academia and industry due to its potential to enhance crop productivity, reduce costs, and minimize environmental impact. This survey paper provides a comprehensive review of the recent use of UAV sensing systems and AI algorithms in PA applications throughout the crop life-cycle, as well as the challenges and prospects for future development in the agriculture sector.
Article
Engineering, Mechanical
Yuanshan Liu, Yude Xia, Xiangze Lin, Chih-Chiang Chen
Summary: This study investigates the output feedback stabilization problem for a class of networked switched planar systems with aperiodic sampled data. The closed-loop system is made to converge to a size-adjustable set including the equilibrium. State feedback control laws are systematically constructed using the adding a power integrator technique and a special backstepping-like method. Switched observers are also constructed using the aperiodic sampled data, which are sampled based on a deliberately designed event-triggered mechanism.
NONLINEAR DYNAMICS
(2023)
Article
Automation & Control Systems
Jiankun Sun, Jun Yang, Shihua Li, Zhigang Zeng
Summary: In this article, a solution to the problem of global sampled-data output feedback stabilization for a class of nonlinear uncertain systems with delayed output is proposed using the continuous-discrete method. The proposed method combines a predictor-based continuous-discrete observer and a linear controller to effectively estimate the unknown state and compensate for the influences of sampling and output delay. The advantage of this method is that it does not require full state information and accurate model nonlinearities. The global exponential stability of the control system can be ensured under certain conditions regarding the maximum allowable sampling period and output delay.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Jiankun Sun, Xiangyang Liu, Jun Yang, Zhigang Zeng, Shihua Li
Summary: This article investigates the multirate disturbance rejection control problem for linear control systems with mismatched disturbance and measurement delay using predictor-based extended state observer. The disturbance rejection property of the resultant closed-loop control systems is enhanced despite the multirate and measurement delay.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2023)
Article
Engineering, Mechanical
Zheng Yuan, Chen Dai, Hao Sun, Shihua Li, Bifeng Yin
Summary: With the rapid development of diesel engines, reducing the pressure fluctuation of the common rail has become crucial for improving performance. Traditional rail pressure control approaches lack consideration and effective handling of time-varying disturbances in the system. Therefore, this study first establishes a nonlinear model of the high-pressure common rail system based on fluid dynamics and mechanics laws, and proposes a composite controller based on this model. The controller consists of a sliding mode feedback part and a disturbance feedforward compensation part based on a generalized proportional integral observer. Finally, simulation tests in the AMESim environment demonstrate the effectiveness of the proposed method.
INTERNATIONAL JOURNAL OF AUTOMOTIVE TECHNOLOGY
(2023)
Article
Automation & Control Systems
Mujun Chen, Zihang Wei, Xiangze Lin
Summary: This paper investigates the finite-time stabilization of strict-feedback switched systems with asymmetric output constraints (AOCs) via state feedback. Firstly, a elaborately constructed fraction-type barrier Lyapunov function (BLF) is presented. Then, under a mild assumption on strict-feedback switched systems, state feedback laws are constructed by revamping the adding a power integrator approach (AAPIA), and a common Lyapunov function (CLF) is obtained. The resulting closed-loop systems are finite-time stable and satisfy the asymmetric output constraint. The proposed approach can achieve finite-time stabilization of strict-feedback switched systems with/without AOCs in a unified framework.
Article
Automation & Control Systems
Xiangze Lin, Jingxin Huang, Ju H. H. Park
Summary: This article investigates the problem of adaptive nonsmooth state-feedback stabilization for uncertain output-constrained cascade switched systems. To solve the problem of adaptive control, some mild assumptions have been imposed on the subsystems, such as zero dynamics with input-to-state stability, nonlinear terms with a growth condition, and well-known small signal conditions. State-feedback control laws are designed and an adaptive law is constructed using the adding a power integrator (AAPI) technique. A common Lyapunov function is constructed to cope with output constraints. The proposed method can handle adaptive stabilization of switched systems with uncertain cascade switched systems with/without output constraints.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)