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Global practical stabilization of the double integrator system with an imperfect sensor and subject to a bounded disturbance

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Control Theory and Technology 2024年第3期22卷 468-478页

作者： Zhiyuan Zhu Yuanlong Li zongli lin Department of Automation Shanghai Jiao Tong Universityand Key Laboratory of System Control and Information Processing of Ministry of EducationShanghai 200240China Charles L.Brown Department of Electrical and Computer Engineering University of VirginiaP.0.Box 400743CharlottesvilleVA 22904-4743USA

This paper is concerned with global practical stabilization of the double integrator system with an imperfect sensor and subject to an additive bounded output *** imperfect sensor nonlinearity possesses the nonlinear characteristics of saturation and dead *** of the presence of output dead zone and the additive disturbance,the states cannot be expected to driven into an arbitrarily small neighborhood of the *** solve the global practical stabilization problem,we proposes a low gain-based linear dynamic output feedback law,under which the first state enters and remains in a bounded set whose size is depended on the bound of disturbance and the range of dead zone and the second state enters and remains in a pre-specified arbitrarily small set,both in finite *** results illustrate the effectiveness of our proposed control method.

关键词： Output saturation Disturbance rejection Output dead zone Low gain feedback-linear output feedback Practical stabilization

Virtual Power Plants for Grid Resilience: A Concise Overview of Research and Applications

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IEEE/CAA Journal of Automatica Sinica 2024年第2期11卷 329-343页

作者： Yijing Xie Yichen Zhang Wei-Jen Lee zongli lin Yacov A.Shamash IEEE Department of Electrical Engineering University of Texas at ArlingtonArlingtonTX 76019 USA Charles L.Brown Department of Electrical and Computer Engineering University of VirginiaCharlottesvilleVA 22904 USA Department of Electrical and Computer Engineering Stony Brook UniversityStony BrookNY 11794 USA

The power grid is undergoing a transformation from synchronous generators(SGs) toward inverter-based resources(IBRs). The stochasticity, asynchronicity, and limited-inertia characteristics of IBRs bring about challenges to grid resilience. Virtual power plants(VPPs) are emerging technologies to improve the grid resilience and advance the transformation. By judiciously aggregating geographically distributed energy resources(DERs) as individual electrical entities, VPPs can provide capacity and ancillary services to grid operations and participate in electricity wholesale markets. This paper aims to provide a concise overview of the concept and development of VPPs and the latest progresses in VPP operation, with the focus on VPP scheduling and control. Based on this overview, we identify a few potential challenges in VPP operation and discuss the opportunities of integrating the multi-agent system(MAS)-based strategy into the VPP operation to enhance its scalability, performance and resilience.

关键词： Climate change renewable energy resources resilience smart grids virtual power plants(VPPs)

Recent Advances on Networked Systems and Intelligent Control--Dedicated to a Visionary Leader:*** Xie's 60th Birthday

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Journal of Systems Science & Complexity 2024年第1期37卷 1-2页

作者： Jie Chen Jie Huang zongli lin Tongji University The Chinese University of Hong Kong China University of Virginia

It is with great pleasure and admiration that we celebrate the 60th birthday of ProfessorLihua Xie, a distinguished researcher and visionary leader in the field of robust control andestimation. Prof. Xie’s remarkable journey, marked by outstanding achievements and groundbreaking contributions, has left an indelible mark on the world of engineering and academia.

关键词： estimation breaking outstanding

Control design in the presence of actuator saturation:from individual systems to multi-agent systems

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Science China(Information Sciences) 2019年第2期62卷 195-197页

作者： zongli lin Charles L.Brown Department of Electrical and Computer Engineering University of Virginia

The importance of taking actuator saturation into consideration in the design of practical control systems has been well recognized. Two facts are clear. Actuator saturation reduces the anticipated closed-loop performance of the closed-loop system,and in a severe situation, may cause loss of closedloop stability. A saturation avoidance control design incurs conservativeness in achieving closedloop performance. The analysis and design of control systems in the presence of actuator saturation

关键词： Control design in the presence of actuator saturation:from individual systems to multi-agent systems

PID Control of Planar Nonlinear Uncertain Systems in the Presence of Actuator Saturation

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IEEE/CAA Journal of Automatica Sinica 2022年第1期9卷 90-98页

作者： Xujun Lyu zongli lin College of Engineering Huazhong Agricultural UniversityWuhan 430070China Charles L.Brown Department of Electrical and Computer Engineering University of VirginiaP.O.Box 400743CharlottesvilleVA 22904-4743 USA

This paper investigates PID control design for a class of planar nonlinear uncertain systems in the presence of actuator *** on the bounds on the growth rates of the nonlinear uncertain function in the system model,the system is placed in a linear differential *** vertex system of the linear differential inclusion is a linear system subject to actuator *** placing the saturated PID control into a convex hull formed by the PID controller and an auxiliary linear feedback law,we establish conditions under which an ellipsoid is contractively invariant and hence is an estimate of the domain of attraction of the equilibrium point of the closed-loop *** equilibrium point corresponds to the desired set point for the system ***,the location of the equilibrium point and the size of the domain of attraction determine,respectively,the set point that the output can achieve and the range of initial conditions from which this set point can be *** on these conditions,the feasible set points can be determined and the design of the PID control law that stabilizes the nonlinear uncertain system at a feasible set point with a large domain of attraction can then be formulated and solved as a constrained optimization problem with constraints in the form of linear matrix inequalities(LMIs).Application of the proposed design to a magnetic suspension system illustrates the design process and the performance of the resulting PID control law.

关键词： Actuator saturation domain of attraction nonlinear systems PID control uncertainties

Stabilization of discrete-time linear systems by delay independent truncated predictor feedback

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Control Theory and Technology 2019年第1期17卷 112-118页

作者： Yusheng WEI zongli lin Charles L. Brown Department of Electrical and Computer Engineering University of Virginia Charlottesville VA 22904-4743 U.S.A.

For a discrete-time linear system with input delay, the predictor feedback law is the product of a feedback gain matrix with the predicted state at a future time instant ahead of the current time instant by the amount of the delay, which is the sum of the zero in put solution and the zero state solutio n of the system. The zero state solution is a finite summation that involves past in put, requiring considerable memory in the digital implementation of the predictor feedback law. The truncated predictor feedback, which results from discarding the finite summat沁n part of the predictor feedback law, reduces implementation complexity. The delay independent truncated predictor feedback law further discards the delay dependent transition matrix in the truncated predictor feedback law and is thus robust to unknown delays. It is known that such a delay independent truncated predictor feedback law stabilizes a discrete-time linear system with all its poles at z = 1 or inside the unit circle no matter how large the delay is. In this paper, we first construct an example to show that the delay independent truncated predictor feedback law cannot compensate too large a delay if the open loop system has poles on the unit circle at z ≠ 1. Then, a delay bound is provided for the stabilizability of a general linear system by the delay independent truncated predictor feedback.

关键词： Time delay, stabilization delay independent truncated predictor feedback

On robustness of an AMB suspended energy storage flywheel platform under characteristic model based all-coefficient adaptive control laws

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Frontiers of Information Technology & Electronic Engineering 2019年第1期20卷 120-130页

作者： Xujun LYU Long DI zongli lin College of Engineering Huazhong Agricultural University ASML-HMI Charles L.Brown Department of Electrical and Computer Engineering University of Virginia

A characteristic model based all-coefficient adaptive control law was recently implemented on an experimental test rig for high-speed energy storage flywheels suspended on magnetic bearings. Such a control law is an intelligent control law, as its design does not rely on a pre-established mathematical model of a plant but identifies its characteristic model while the plant is being controlled. Extensive numerical simulations and experimental results indicated that this intelligent control law outperforms a μ-synthesis control law, originally designed when the experimental platform was built in terms of their ability to suppress vibration on the high-speed test rig. We further establish, through an extensive simulation, that this intelligent control law possesses considerable robustness with respect to plant uncertainties, external disturbances, and time delay.

关键词： Intelligent control Robustness Uncertainty Disturbance rejection Active magnetic bearings Energy storage flywheels

Dynamic anti-windup design for anticipatory activation:enlargement of the domain of attraction

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Science China(Information Sciences) 2014年第1期57卷 164-177页

作者： WU XiongJun lin zongli Department of Automation Shanghai Jiao Tong University and Key Laboratory of System Control and Information ProcessingMinistry of Education of China The 802 Institute of Shanghai Academy of Space Flight Technology The Eighth Academy of China Aerospace Science and Technology Corporation Charles L. Brown Department of Electrical and Computer Engineering University of Virginia

Traditional anti-windup compensators are designed for activation immediately at the occurrence of actuator ***,anti-windup compensators were designed for actuation either after the saturation has reached a certain level or in anticipation of its *** the case of static anti-windup compensators,it has been shown that an anti-windup compensator designed for activation in anticipation of actuator saturation would lead to better performance than those designed for immediate or delayed activation could,both in terms of transient performance and the size of the domain of *** recently,it has been shown that a dynamic anti-windup compensator designed for anticipatory activation would also result in better transient performance than those designed for immediate or delayed activation *** this paper,we design dynamic anti-windup compensators for the enlargement of the domain of *** compensators are designed respectively for immediate,delayed and anticipatory *** will show by simulation that a dynamic anti-windup compensator designed for anticipatory activation would result in a larger domain of attraction than a dynamic anti-windup compensator designed for immediate or delayed activation could.

关键词： actuator saturation anti-windup anticipatory activation domain of attraction dynamic com-pensator

Robust semi-global leader-following practical consensus of a group of linear systems with imperfect actuators

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Science China(Information Sciences) 2017年第7期60卷 195-206页

作者： Liangren SHI Zhiyun ZHAO zongli lin Department of Automation Shanghai Jiao Tong University Key Laboratory of Advanced Control and Optimization for Chemical Processes(East China University of Science and Technology) Ministry of Education Charles L. Brown Department of Electrical and Computer Engineering University of Virginia

This paper considers the problem of semi-global leader-following consensus of a multi-agent system whose agent dynamics are represented by linear systems. The input output characteristics of the follower agent actuators, such as those of saturation and dead-zone, are imperfect, not precisely known, and subject to the effect of disturbances. Two consensus control algorithms, of the low-and-high gain feedback type and the low gain based variable structure control type, are proposed for solving the consensus problem. It is shown that both of these control algorithms achieve semi-global leader-following practical consensus in the presence of the imperfectness of the actuators when the communication topology among the follower agents is represented by a strongly connected and detailed balanced directed graph and the leader agent is a neighbor of at least one follower agent. The theoretical results are illustrated by numerical simulation.

关键词： consensus leader-following actuator saturation dead-zone low-and-high gain feedback low gain based variable structure control