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Fixed-Time Stabilization of a Class of Strict-Feedback Nonlinear Systems via Dynamic Gain Feedback Control

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IEEE/CAA Journal of Automatica Sinica 2023年第2期10卷 403-410页

作者： Chenghui zhang Le Chang Lantao Xing xianfu zhang IEEE the School of Control Science and Engineering Shandong UniversityJinan 250012China the School of Aeronautics and Astronautics Shanghai Jiao Tong UniversityShanghai 200240China

This paper presents a novel fixed-time stabilization control(FSC)method for a class of strict-feedback nonlinear systems involving unmodelled system *** key feature of the proposed method is the design of two dynamic ***,a set of auxiliary variables is first introduced through state *** variables combine the original system states and the two introduced dynamic parameters,facilitating the closed-loop system stability ***,the two dynamic parameters are delicately designed by utilizing the Lyapunov method,ensuring that all the closed-loop system states are globally fixed-time *** with existing results,the“explosion of complexity”problem of backstepping control is ***,the two designed dynamic parameters are dependent on system states rather than a time-varying function,thus the proposed controller is still valid beyond the given fixedtime convergence *** effectiveness of the proposed method is demonstrated through two practical systems.

关键词： Dynamic gain feedback control fixed-time stabilization strict-feedback nonlinear system

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Positivity and stability of timescale-type linear singular systems with time delays

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Science China(Information Sciences) 2022年第12期65卷 170-185页

作者： Xiaodong LU Haitao LI xianfu zhang School of Mathematics and Statistics Shandong Normal University Key Laboratory of Systems and Control Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of Sciences School of Control Science and Engineering Shandong University

This paper investigates positivity and stability problems of timescale-type delayed linear singular systems(LSSs). The existing results put an extremely strict constraint on the time-delay function. By introducing a novel function, this constraint is successfully removed, which generalizes the scope of the considered systems. Then, some necessary and sufficient criteria are proposed for the positivity of LSSs with bounded and infinite time-varying delays. Finally, the exponential(asymptotical) stability of LSSs with bounded(infinite) time-varying delays is analyzed. The derived results are also applicable to timescale-type differential-difference systems(DDSs). Compared with the existing stability criteria of DDSs with bounded time-varying delays, the strict limit on the parameter related to the convergence rate is eliminated. Hence,the conservatism of the existing results can be reduced. Moreover, when investigating stability of DDSs with infinite time-varying delays, this paper proposes a less conservative stability theorem. To illustrate the validity of the derived results, an example is presented regarding LSSs with bounded and infinite time-varying delays.

关键词： positivity stability time delay linear singular systems timescale-type systems

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Design Strategies for Aqueous Zinc Metal Batteries with High Zinc Utilization: From Metal Anodes to Anode-Free Structures

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Nano-Micro Letters 2024年第4期16卷 305-349页

作者： xianfu zhang Long zhang Xinyuan Jia Wen Song Yongchang Liu School of Materials Science and Engineering University of Science and Technology Beijing30 College RoadBeijing 100083People’s Republic of China Beijing Advanced Innovation Center for Materials Genome Engineering Institute for Advanced Materials and TechnologyState Key Laboratory for Advanced Metals and MaterialsUniversity of Science and Technology BeijingBeijing 100083People’s Republic of China

Aqueous zinc metal batteries(AZMBs)are promising candidates for next-generation energy storage due to the excellent safety, environmental friendliness, natural abundance, high theoretical specific capacity, and low redox potential of zinc(Zn) metal. However,several issues such as dendrite formation, hydrogen evolution, corrosion, and passivation of Zn metal anodes cause irreversible loss of the active materials. To solve these issues, researchers often use large amounts of excess Zn to ensure a continuous supply of active materials for Zn anodes. This leads to the ultralow utilization of Zn anodes and squanders the high energy density of AZMBs. Herein, the design strategies for AZMBs with high Zn utilization are discussed in depth, from utilizing thinner Zn foils to constructing anode-free structures with theoretical Zn utilization of 100%, which provides comprehensive guidelines for further research. Representative methods for calculating the depth of discharge of Zn anodes with different structures are first summarized. The reasonable modification strategies of Zn foil anodes, current collectors with pre-deposited Zn, and anode-free aqueous Zn metal batteries(AF-AZMBs) to improve Zn utilization are then detailed. In particular, the working mechanism of AF-AZMBs is systematically introduced. Finally, the challenges and perspectives for constructing high-utilization Zn anodes are presented.

关键词： Aqueous zinc metal batteries Zinc anodes High zinc utilization Depth of discharge Anode-free structures

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Consensus control of feedforward nonlinear multi-agent systems:a time-varying gain method

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Control Theory and Technology 2022年第1期20卷 46-53页

作者： Hanfeng Li xianfu zhang Weihao Pan School of Control Science and Engineering Shandong UniversityJinan250061ShandongChina

In this paper,the leader–follower consensus of feedforward nonlinear multi-agent systems is achieved by designing the distributed output feedback controllers with a time-varying *** agents dynamics are assumed to be in upper triangular structure and satisfy Lipschitz conditions with an unknown constant multiplied by a time-varying function.A time-varying gain,which increases monotonously and tends to infinity,is proposed to construct a compensator for each follower *** on a directed communication topology,the distributed output feedback controller with a time-varying gain is designed for each follower agent by only using the output information of the follower and its *** is proved by the Lyapunov theorem that the leader–follower consensus of the multi-agent system is achieved by the proposed consensus *** effectiveness of the proposed time-varying gain method is demonstrated by a circuit system.

关键词： Consensus control Nonlinear multi-agent systems Time-varying gain Output feedback

Decentralized output-feedback control of triangular large-scale nonlinear impulsive systems with time-varying delays: a gain scaling approach

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Science China(Information Sciences) 2023年第11期66卷 185-203页

作者： Debao FAN xianfu zhang Weihao PAN Hanfeng LI School of Control Science and Engineering Shandong University

In this study, we investigate the decentralized output-feedback control problem for a class of triangular large-scale nonlinear impulsive systems(TLSNISs) with time-varying delays. Unlike existing design approaches in impulsive systems, a gain scaling approach is proposed for the first time to counteract the structural uncertainties of interconnected nonlinearities. Specifically, by fully exploiting the static gain, novel delay-independent impulsive observers are delicately constructed to estimate the unavailable states. Furthermore, the undesirable effects of time-varying delays and impulsive disturbances are eliminated using the comparison principle and average impulsive interval technique. The designed gain-scaling-based decentralized output-feedback controllers have concise linear-like forms and are independent of time delays. Moreover,by strengthening the gain scaling mechanism, we further develop an improved control scheme that endows the controllers with the capability to tolerate unknown external disturbances, thus improving its *** is shown that the system states converge exponentially to the origin in the disturbance-free case with the designed controllers(or to an adjustable neighborhood of the origin in the presence of disturbance). Finally,two examples, including an engineering system design example, are provided to demonstrate the effectiveness of the designed controllers for both lower TLSNISs and upper TLSNISs.

关键词： triangular large-scale systems nonlinear impulsive systems time-varying delay output feedback gain scaling approach

Leader-follower Consensus of Upper-triangular Nonlinear Multi-agent Systems

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IEEE/CAA Journal of Automatica Sinica 2014年第2期1卷 210-217页

作者： Chenghui zhang Le Chang xianfu zhang School of Control Science and Engineering Shandong University

This paper is concerned with the leader-follower consensus problem by using both state and output feedback for a class of nonlinear multi-agent systems. The agents considered here are all identical upper-triangular nonlinear systems which satisfy the Lipschitz growth condition. First, it is shown that the leader-follower consensus problem is equivalent to the control design problem of a high-dimensional multi-variable ***, by introducing an appropriate state transformation, the control design problem can be converted into the problem of finding a constant parameter, which can be obtained by solving the Lyapunov equation and estimating the nonlinear terms of the given system. At last, an example is given to verify effectiveness of the proposed consensus algorithms.

关键词： Multi-agent systems Protocols Topology Observers Nonlinear systems

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H_(∞)output feedback control for large-scale nonlinear systems with time delay in both state and input

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Control Theory and Technology 2021年第3期19卷 384-391页

作者： Zhiyu Duan xianfu zhang Shuai Liu Airong Wei School of Control Science and Engineering Shandong UniversityJinan250061ShandongChina

The H_(∞)output feedback control problem for a class of large-scale nonlinear systems with time delay in both state and input is considered in this *** is assumed that the interconnected nonlinearities are limited by constant multiplied by unmeasured states,delayed states and external *** from existing methods to study the H_(∞)control of large-scale nonlinear systems,the static gain control technique is utilized to obtain an observer-based output feedback control strategy,which makes the closed-loop system globally asymptotically stable and attenuates the effect of external *** example is finally carried out to show the feasibility of the proposed control strategy.

关键词： Large-scale nonlinear systems H_(∞)control Output feedback Time delay

Bipartite consensus for nonlinear time-delay multiagent systems via time-varying gain control method

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Control Theory and Technology 2022年第4期20卷 504-513页

作者： Haiou Zhao Yanan Qi Yanjie Chang xianfu zhang School of Control Science and Engineering Shandong UniversityJinan 250061ShandongChina

The bipartite consensus problem is addressed for a class of nonlinear time-delay multiagent systems in this ***,the uncertain nonlinear dynamics of all agents satisfy a Lipschitz growth condition with unknown constants,and part of the state information cannot be *** this case,a time-varying gain compensator is constructed,which only utilizes the output information of the follower and its ***,a distributed output feedback control protocol is proposed on the basis of the *** to Lyapunov stability theory,it is proved that the bipartite consensus can be guaranteed by means of the designed control *** from the existing literature,this paper studies the leader-follower consensus problem under a weaker connectivity condition,i.e.,the signed directed graph is structurally balanced and contains a directed spanning *** simulation examples are carried out to show the feasibility of the proposed control strategy.

关键词： Multiagent systems Time-delay Bipartite consensus Time-varying gain Output feedback

Dynamic event-triggered bipartite consensus for uncertain high-order nonlinearmulti-agentsystems

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Control Theory and Technology 2023年第2期21卷 222-232页

作者： Yanan Qi Chunshui Du xianfu zhang Rui Mu School of Control Science and Engineering Shandong UniversityJinan 250061ShandongChina

In this paper,the bipartite consensus problem is studied for a class of uncertain high-order nonlinear multi-agent systems.A signed digraph is presented to describe the collaborative and competitive interactions among *** each agent with lower triangular structure,a time-varying gain compensator is first designed by relative output information of neighboring ***,a distributed controller with dynamic event-triggered mechanism is proposed to drive the bipartite consensus error to *** is worth noting that an internal dynamic variable is introduced in triggering function,which plays an essential role in excluding the Zeno behavior and reducing energy ***,the dynamic event-triggered control protocol is developed for upper triangular multi-agent systems to realize the bipartite consensus without Zeno ***,simulation examples are provided to illustrate the effectiveness of the presented results.

关键词： High-order nonlinear multi-agent systems Uncertain systems Dynamic event-triggered control Bipartite consensus