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Periodic event-triggered formation control of multi-agent systems via complex Laplacian 通过复杂拉普拉卡方实现多代理系统的周期性事件触发编队控制
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-01-29 DOI: 10.1093/imamci/dnad035
Xiaoya Guo, Xia Chen, Lu Fu
{"title":"Periodic event-triggered formation control of multi-agent systems via complex Laplacian","authors":"Xiaoya Guo, Xia Chen, Lu Fu","doi":"10.1093/imamci/dnad035","DOIUrl":"https://doi.org/10.1093/imamci/dnad035","url":null,"abstract":"The event-triggered formation control of first-order continuous multi-agent systems is studied based on complex Laplacian in this paper. Periodic event-triggered control is designed in which continuous communication between agents is not required. For each agent, two different triggering conditions are discussed. The first one relies on the inter-neighboring communication at each verification time, while the second one only need the broadcast states of neighbors at their triggering instants. According to the Lyapunov stability theory and algebraic graph theory, consensus conditions on the verification period and parameters in the triggering conditions are also provided. It is demonstrated that the maximum verification period under two triggering conditions are two times larger than the existing results. And a certain amount of communication between neighbors can be further reduced in the second one. Finally, the simulation examples prove the validity of the results proposed.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139588821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dimension reduction based on approximate gramians via Laguerre polynomials for coupled systems 通过拉盖尔多项式对耦合系统进行近似格兰方法降维
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-01-15 DOI: 10.1093/imamci/dnad034
Zhen-Zhong Qi, Zhi-Hua Xiao, Jia-Wei Yuan
{"title":"Dimension reduction based on approximate gramians via Laguerre polynomials for coupled systems","authors":"Zhen-Zhong Qi, Zhi-Hua Xiao, Jia-Wei Yuan","doi":"10.1093/imamci/dnad034","DOIUrl":"https://doi.org/10.1093/imamci/dnad034","url":null,"abstract":"In this paper, we focus on the topic of model order reduction (MOR) for coupled systems. At first, an approximation via Laguerre polynomials expansions to controllability and observability gramians for such systems are presented, which provides a low-rank decomposition form whose factors are constructed from a recurrence formula instead of Lyapunov equations. Then, in combination of balanced truncation and dominant subspace projection method, a series of MOR algorithms are proposed that preserve the coupled structures. What’s more, some main properties of reduced-order models, such as stability preservation, are well discussed. Finally, three numerical simulations are provided to illustrate the effectiveness of our algorithms.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139475197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new inversion-free iterative algorithm for the discrete algebraic Riccati equation 离散代数里卡提方程的新无反演迭代算法
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-12-20 DOI: 10.1093/imamci/dnad033
Li Wang, Yuli Zhu
{"title":"A new inversion-free iterative algorithm for the discrete algebraic Riccati equation","authors":"Li Wang, Yuli Zhu","doi":"10.1093/imamci/dnad033","DOIUrl":"https://doi.org/10.1093/imamci/dnad033","url":null,"abstract":"\u0000 In this paper, by the transformation form of the discrete algebraic Riccati equation (DARE), we propose a new inverse-free iterative algorithm to obtain the positive definite solution of the DARE. Furthermore, the monotone convergence is proved and convergence rate analysis is presented for the derived algorithm. Compared with some existing algorithms, numerical examples demonstrate the feasibility and effectiveness of our algorithm.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138955102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
HPA axis differential flatness and Liouvillian study for higher resiliency investigations HPA轴差分平整度和Liouvillian研究用于高弹性研究
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-11-29 DOI: 10.1093/imamci/dnad030
Florentina Nicolau, Hugues Mounier, Ioannis P Androulakis
{"title":"HPA axis differential flatness and Liouvillian study for higher resiliency investigations","authors":"Florentina Nicolau, Hugues Mounier, Ioannis P Androulakis","doi":"10.1093/imamci/dnad030","DOIUrl":"https://doi.org/10.1093/imamci/dnad030","url":null,"abstract":"In this paper, we study several existing quantitative models of the hypothalamic–pituitary–adrenal (HPA) axis from a control systems theory viewpoint, that is, we suppose that we can act on the dynamics of the HPA axis throughout some parameters, which are the system inputs. In particular, we will focus on flatness and Liouvillian properties of the considered control systems of the HPA axis. We first study the minimal three-dimensional model of Bangsgaard and Ottesen (2017, Math. Biosci., 287:24–35) and the semi-mechanistic four-dimensional model of Gupta et al. (2007, Theor. Biol. Medical Model., 4(1):8) which are shown to be flat, and then, we consider the more involved and important model proposed in Rao & Androulakis (2019, Sci. Rep., 9(1):11212; 2020, IFAC-PapersOnLine, 53(2):15858–15863), with seven states, for which we prove that for the nominal values of the parameters involved in the model, flatness no longer holds. The more involved model satisfies however a similar but weaker property than flatness: it is a Liouvillian system.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138537973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a new method for the state and output feedback exponential stabilization of a cascaded wave PDE-ODE system with nonlinear boundary condition 基于非线性边界条件的级联波PDE-ODE系统状态和输出反馈指数镇定新方法
4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-10-26 DOI: 10.1093/imamci/dnad027
Najmeh Ghaderi
{"title":"On a new method for the state and output feedback exponential stabilization of a cascaded wave PDE-ODE system with nonlinear boundary condition","authors":"Najmeh Ghaderi","doi":"10.1093/imamci/dnad027","DOIUrl":"https://doi.org/10.1093/imamci/dnad027","url":null,"abstract":"Abstract This study presents a novel approach for the state and output feedback exponential control of cascaded unstable ODE-wave equations with nonlinear boundary condition. The new approach can be also used to investigate the state and output feedback stabilization of other cascaded ODE-partial differential equation (PDE) systems with nonlinear boundary condition. The interconnection between the ODE and wave PDE with the nonlinear boundary is bi-directional at two points. First, an exponential controller is planned and the well-posed and exponential stability of the closed-loop system is derived. Next, an exponential observer is designed, whereby the exponential stability of the overall error system is shown. Then, an observer-based output feedback control that causes the overall real system to be exponentially stable is built. The existence and exponential stability of the solution to the overall closed-loop system are further deduced. Finally, simulation results are given to verify the effectiveness, feasibility and validity of the proposed technique.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134905561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Observer-based SMC design for stochastic systems with Levy noise 含Levy噪声随机系统的基于观测器的SMC设计
4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-10-18 DOI: 10.1093/imamci/dnad028
G Sangeetha, K Mathiyalagan, Yong-Ki Ma, Huiyan Zhang
{"title":"Observer-based SMC design for stochastic systems with Levy noise","authors":"G Sangeetha, K Mathiyalagan, Yong-Ki Ma, Huiyan Zhang","doi":"10.1093/imamci/dnad028","DOIUrl":"https://doi.org/10.1093/imamci/dnad028","url":null,"abstract":"Abstract This work addresses the problem of sliding mode control (SMC) design for a continuous-time non-linear stochastic system with Levy-type noise. A state observer model is constructed to estimate the unavailable state information. Furthermore, Levy-type noise is considered to analyse small perturbations and to characterize the appearance of large samples that will occur in the system. Lyapunov stability and SMC theory are used to provide some sufficient conditions that ensure the stochastic stability of the error system and reachability of the predefined sliding surface. Finally, an example is given to demonstrate the feasibility of the proposed approach.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135823410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Funnel control of linear systems with arbitrary relative degree under output measurement losses 输出测量损失下任意相对线性系统的漏斗控制
4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-10-18 DOI: 10.1093/imamci/dnad029
Thomas Berger, Lukas Lanza
{"title":"Funnel control of linear systems with arbitrary relative degree under output measurement losses","authors":"Thomas Berger, Lukas Lanza","doi":"10.1093/imamci/dnad029","DOIUrl":"https://doi.org/10.1093/imamci/dnad029","url":null,"abstract":"Abstract We consider tracking control of linear minimum phase systems with known arbitrary relative degree which are subject to possible output measurement losses. We provide a control law which guarantees the evolution of the tracking error within a (shifted) prescribed performance funnel whenever the output signal is available. The result requires a maximal duration of measurement losses and a minimal time of measurement availability, which both strongly depend on the internal dynamics of the system, and are derived explicitly. The controller is illustrated by a simulation of a mass-on-car system.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135823402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Observer-based controller design for switched systems with stable and unstable subsystems 具有稳定和不稳定子系统的切换系统的观测器控制器设计
4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-10-11 DOI: 10.1093/imamci/dnad026
Donglei Xie, Yantao Chen, Ying Qiao
{"title":"Observer-based controller design for switched systems with stable and unstable subsystems","authors":"Donglei Xie, Yantao Chen, Ying Qiao","doi":"10.1093/imamci/dnad026","DOIUrl":"https://doi.org/10.1093/imamci/dnad026","url":null,"abstract":"Abstract This paper studies the problems of both state estimation and observer-based control for a class of switched linear systems with stable and unstable subsystems. By combining slow switching and fast switching mechanism, the observer design and observer-based controller are presented. Firstly, a state observer is developed to estimate the states of switched system by designing admissible edge-dependent switching signal, and a multiple discontinuous Lyapunov function is also constructed to obtain the existence condition of observer. Secondly, based on the stability characteristics of subsystem and the estimated state information, an observer-based feedback controller is proposed. The stability of the closed-loop system is also guaranteed by Lyapunov stability theory. Finally, the feasibility of the proposed method is verified by simulation.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136213029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Distributed model predictive control of vehicle platoons under switching communication topologies 交换通信拓扑下车辆排的分布式模型预测控制
4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-10-03 DOI: 10.1093/imamci/dnad023
Liang Chen, Jingyuan Zhan, Liguo Zhang
{"title":"Distributed model predictive control of vehicle platoons under switching communication topologies","authors":"Liang Chen, Jingyuan Zhan, Liguo Zhang","doi":"10.1093/imamci/dnad023","DOIUrl":"https://doi.org/10.1093/imamci/dnad023","url":null,"abstract":"Abstract This paper studies the control problem for vehicle platoons under switching communication topologies, where the Predecessor-Following (PF)-failure topology is allowed. Firstly, we design a local optimization problem for each vehicle by using the state information of itself and its neighbouring vehicles, and then present Algorithm 1 based on Distributed Model Predictive Control (DMPC). By constructing a common Lyapunov function defined by the joint neighbourhood set, we derive sufficient conditions with respect to the weight matrices in the open-loop optimization problem and the switching topologies for ensuring the stability of the closed-loop system under Algorithm 1. Furthermore, we propose Algorithm 2 by introducing novel constraints into the local optimization problem for each vehicle, which utilize shrinking historical position errors to cope with PF-link failures, such that the string stability of the vehicle platoon is ensured. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed DMPC algorithms for the vehicel platoon under switching communication topologies.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135738731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sensor fault estimation based on L∞ unknown input observer 基于L∞未知输入观测器的传感器故障估计
4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2023-09-20 DOI: 10.1093/imamci/dnad024
Sheng Gao, Hailong Zhang, Weiguo Kong, Zhaoguang Wang
{"title":"Sensor fault estimation based on <i>L</i>∞ unknown input observer","authors":"Sheng Gao, Hailong Zhang, Weiguo Kong, Zhaoguang Wang","doi":"10.1093/imamci/dnad024","DOIUrl":"https://doi.org/10.1093/imamci/dnad024","url":null,"abstract":"Abstract This study investigates the fault estimation problem for a class of Lipschitz non-linear systems with sensor faults and disturbances. An augmented system consisting of system states and sensor faults is constructed to estimate sensor faults by designing an augmented state. A novel L∞ performance index is presented to reduce the influence of disturbances on fault estimation results. An unknown input observer (UIO) is proposed based on the L∞ performance index to achieve an asymptotic estimation of sensor faults. The design conditions of the L∞ UIO are deduced and solved using linear matrix inequalities. The effectiveness of the proposed L∞ UIO and the fault estimation performance are demonstrated via numerical simulations of a single-link flexible joint robot.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136375872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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