发布求助
文献互助 智能选刊 最新文献

IMA Journal of Mathematical Control and Information最新文献

筛选
英文 中文
A new H∞ observer for continuous LPV systems with unknown inputs using an HOSM differentiator 利用 HOSM 微分器为具有未知输入的连续 LPV 系统设计新的 H∞ 观察器
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-03-24 DOI: 10.1093/imamci/dnae008
Luc Meyer
{"title":"A new H∞ observer for continuous LPV systems with unknown inputs using an HOSM differentiator","authors":"Luc Meyer","doi":"10.1093/imamci/dnae008","DOIUrl":"https://doi.org/10.1093/imamci/dnae008","url":null,"abstract":"The main contribution of this paper is the development of $H_{infty }$ state and unknown input (UI) observers for noisy linear parameter-varying (LPV) systems. The observers are constructed in order to be unbiased (in particular the state estimation error is decoupled from the UI) and with a minimum $L_{2}$ transfer between the perturbations (that are assumed to be with finite energy) and the estimation errors. Contrary to equivalent observers developed in the literature, the present one relaxes a widely used rank condition on the system matrices for decoupling the UI. In order to do so, high-order derivation is needed, which is done using a high-order sliding modes differentiator. A method is given to design observer gains for LPV systems under polytopic form. Finally, three examples illustrate some aspects of the theoretical contributions, and compare this work to the existing ones.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140302631","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
Hierarchical control problem for the heat equation with dynamic boundary conditions 具有动态边界条件的热方程的分层控制问题
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-03-24 DOI: 10.1093/imamci/dnae009
Omar Oukdach, Idriss Boutaayamou, Lahcen Maniar
{"title":"Hierarchical control problem for the heat equation with dynamic boundary conditions","authors":"Omar Oukdach, Idriss Boutaayamou, Lahcen Maniar","doi":"10.1093/imamci/dnae009","DOIUrl":"https://doi.org/10.1093/imamci/dnae009","url":null,"abstract":"This paper deals with a hierarchical control problem for the heat equation with dynamic boundary conditions. The main goal consists of letting the state near from a prescribed target in a fixed observation region. The secondary objective is the null controllability. In other words, we reverse the roles of the leader and the follower addressed in the recent article. For this purpose, we combine some appropriate Carleman estimates and the Stackelberg strategy. We also extend our study for hierarchical-biobjective problems by applying the Stackelberg–Pareto strategy.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140302797","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
Dissipativity-based consensus for P-one-sided Lipschitz multi-agent systems via ILC 通过 ILC 为 P 单边 Lipschitz 多代理系统达成基于差分性的共识
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-03-08 DOI: 10.1093/imamci/dnae007
Panpan Gu, Shiji Zhao, Liping Chen, Yong Lin, Jiajia Wang, Senping Tian
{"title":"Dissipativity-based consensus for P-one-sided Lipschitz multi-agent systems via ILC","authors":"Panpan Gu, Shiji Zhao, Liping Chen, Yong Lin, Jiajia Wang, Senping Tian","doi":"10.1093/imamci/dnae007","DOIUrl":"https://doi.org/10.1093/imamci/dnae007","url":null,"abstract":"Based on dissipativity theory, the consensus via iterative learning control (ILC) is investigated for P-one-sided Lipschitz (P-OSL) nonlinear multi-agent systems (MASs). This paper only considers the P-OSL condition without using the quadratically inner-bounded constraint. Firstly, the ILC protocol is designed for such nonlinear MASs. Then, the convergence conditions of the consensus algorithm under a connected communication graph are presented from the viewpoint of dissipativity. It is shown that, on a fixed finite-time interval, the proposed algorithm can achieve perfect consensus tracking. Finally, two examples are constructed to show the effectiveness of the proposed method.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140098563","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
Adaptive saturated two-bit-triggered bipartite consensus control for networked MASs with periodic disturbances: a low-computation method 具有周期性扰动的网络化 MAS 的自适应饱和双位触发双方共识控制：一种低计算量方法
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-02-27 DOI: 10.1093/imamci/dnae002
Wenjing Wu, Liang Zhang, Yuhang Wu, Heng Zhao
{"title":"Adaptive saturated two-bit-triggered bipartite consensus control for networked MASs with periodic disturbances: a low-computation method","authors":"Wenjing Wu, Liang Zhang, Yuhang Wu, Heng Zhao","doi":"10.1093/imamci/dnae002","DOIUrl":"https://doi.org/10.1093/imamci/dnae002","url":null,"abstract":"This paper investigates the bipartite tracking control problem for a family of networked multi-agent systems with periodic disturbances as well as input saturation. A low-computation two-bit-triggered adaptive control strategy is proposed to achieve precise trajectory tracking and maintain the boundedness of the closed-loop signals. Compared with the existing results, first, this paper considers the problems for the coexistence of cooperation and competition in multi-agent systems, which represents a more common situation; secondly, the explosion of complexity issue is avoided without introducing any auxiliary filters, making our result more applicable and less complex; thirdly, a function approximator incorporating Fourier series expansion and a radial basis function neural network is utilized to model time-varying periodic disturbance functions and lastly, unlike traditional event-triggered control, the issue of controlling signal transmission bits is further explored to conserve system transmission resources. The result from a comparative simulation illustrates the advantages of the proposed method.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139980571","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
Probability of stability calculation of MIMOn cascade non-linear systems with random parameters 具有随机参数的 MIMOn 级联非线性系统的稳定性概率计算
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-02-26 DOI: 10.1093/imamci/dnae005
Bojana M Zlatkovic, Biljana Samardzic
{"title":"Probability of stability calculation of MIMOn cascade non-linear systems with random parameters","authors":"Bojana M Zlatkovic, Biljana Samardzic","doi":"10.1093/imamci/dnae005","DOIUrl":"https://doi.org/10.1093/imamci/dnae005","url":null,"abstract":"The stability problem of Multiple n Inputs and Multiple n Outputs (MIMOn) cascade non-linear systems with random parameters is considered in this paper using the probability of stability estimation method. MIMOn cascade non-linear systems, particularly when the number of inputs and outputs exceeds three (n > 3), exhibit a unique property: the appearance of spatial hyperchaos that can lead to system instability. To achieve desired spatial dynamics and prevent the occurrence of spatial hyperchaos, it is necessary to select the appropriate parameter values for these systems. Moreover, the optimal parameter values enable the attainment of the highest probability of stability for stochastic MIMOn systems. The research presents the results of stability analysis using tools such as bifurcation diagram, Lyapunov diagram and spatial phase portraits, generated through MATLAB M-files, with a specific focus on a stochastic MIMO5 system (five inputs and five outputs).","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139980591","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
Frequency-weighted and frequency interval Gramian framework-based model reduction using singular value decomposition 利用奇异值分解实现基于频率加权和频率间隔格拉米安框架的模型还原
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-02-17 DOI: 10.1093/imamci/dnad036
Vineet Sharma, Deepak Kumar
{"title":"Frequency-weighted and frequency interval Gramian framework-based model reduction using singular value decomposition","authors":"Vineet Sharma, Deepak Kumar","doi":"10.1093/imamci/dnad036","DOIUrl":"https://doi.org/10.1093/imamci/dnad036","url":null,"abstract":"It is observed that the reduced-order models (ROMs) by some existing limited Gramians-based techniques deviate significantly from the high-order model, resulting in a large approximation inaccuracy. Therefore, this paper introduces a novel solution for finite-frequency model reduction using new frequency-weighted Gramians by employing balanced truncation. This work provides a novel structure of fictitious input and output matrices, resulting in the proposed continuous-time system Gramians. The suggested strategy provides stable ROMs even when input and output weightings are incorporated into the system. Furthermore, the proposed approach is extended with the frequency-interval Gramians, ensuring stable ROMs. The proposed simulation outcomes are compared with other well-known frequency-weighted and frequency-interval Gramians-based techniques using numerical examples to demonstrate the efficacy of the suggested strategies.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139904173","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
Performance output regulation of coupled heat equations with recycle 带循环的耦合热方程的性能输出调节
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-02-08 DOI: 10.1093/imamci/dnae001
Xiu-Fang Yu, Jun-Min Wang, Xiao-Hui Wu
{"title":"Performance output regulation of coupled heat equations with recycle","authors":"Xiu-Fang Yu, Jun-Min Wang, Xiao-Hui Wu","doi":"10.1093/imamci/dnae001","DOIUrl":"https://doi.org/10.1093/imamci/dnae001","url":null,"abstract":"In this article, we study the output regulation of two coupled heat equations with recycle, where the disturbances are distributed in all channels, the control is implemented at the left boundary $x=0$ and the point temperature at $x=2$ is the only noncollocated measurement. The output control is divided into two parts: one is to stabilize the unstable heat system by the noncollocated static feedback, and the other is to achieve output regulation by solving the regulator equation and estimating the disturbances, where an observer is constructed to estimate the state of heat system and exosystem synchronously. The closed-loop system is proved to be well-posed and uniformly bounded using the Riesz basis approach, and the integral output tracks successfully the reference signal exponentially. The numerical simulations are carried out to demonstrate the proposed controller is effective and the tracking error converges to zero.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139754668","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
Correction to: On exponential stability in mean square of nonlinear delay differential equations with Markovian switching 更正：论马尔可夫切换非线性延迟微分方程均方差的指数稳定性
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-02-05 DOI: 10.1093/imamci/dnae004
{"title":"Correction to: On exponential stability in mean square of nonlinear delay differential equations with Markovian switching","authors":"","doi":"10.1093/imamci/dnae004","DOIUrl":"https://doi.org/10.1093/imamci/dnae004","url":null,"abstract":"","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139805037","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
Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames–Falb multipliers 通过积分二次约束和 Zames-Falb 乘数实现 Lur'e 系统的指数输入到状态稳定性
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-02-05 DOI: 10.1093/imamci/dnae003
Ross Drummond, Chris Guiver, Matthew C Turner
{"title":"Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames–Falb multipliers","authors":"Ross Drummond, Chris Guiver, Matthew C Turner","doi":"10.1093/imamci/dnae003","DOIUrl":"https://doi.org/10.1093/imamci/dnae003","url":null,"abstract":"Absolute stability criteria that are sufficient for global exponential stability are shown, under a Lipschitz assumption, to be sufficient for the a priori stronger exponential input-to-state stability property. Important corollaries of this result are as follows: (i) absolute stability results obtained using Zames–Falb multipliers for systems containing slope-restricted nonlinearities provide exponential input-to-state-stability under a mild detectability assumption; and (ii) more generally, many absolute stability results obtained via Integral Quadratic Constraint methods provide, with the additional Lipschitz assumption, this stronger property.","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139754564","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
Correction to: On exponential stability in mean square of nonlinear delay differential equations with Markovian switching 更正：论马尔可夫切换非线性延迟微分方程均方差的指数稳定性
IF 1.5 4区 计算机科学
IMA Journal of Mathematical Control and Information Pub Date : 2024-02-05 DOI: 10.1093/imamci/dnae004
{"title":"Correction to: On exponential stability in mean square of nonlinear delay differential equations with Markovian switching","authors":"","doi":"10.1093/imamci/dnae004","DOIUrl":"https://doi.org/10.1093/imamci/dnae004","url":null,"abstract":"","PeriodicalId":56128,"journal":{"name":"IMA Journal of Mathematical Control and Information","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139864757","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信