{"title":"Delayed feedback implementation of decentralized derivative-dependent control of large-scale systems with input delays and disturbed measurements","authors":"Jin Zhang , Hui Zhang , Emilia Fridman","doi":"10.1016/j.ejcon.2024.101079","DOIUrl":"10.1016/j.ejcon.2024.101079","url":null,"abstract":"<div><p>We study decentralized derivative-dependent control of large-scale <span><math><mi>n</mi></math></span>th-order systems with input delays via delayed feedback implementation. The unavailable derivatives can be approximated by finite differences giving rise to a time-delayed feedback. In the centralized case, an efficient simple linear matrix inequalities (LMIs)-based method for designing of such static output-feedback and its sampled-data implementation was recently suggested. In the present paper, we extend this design to large-scale systems in the presence of input delays and disturbed measurements. Under the assumption of the stabilizability of the system with small enough input delays and small enough interactions by a state-feedback that depends on the output and its derivatives, a delayed static output-feedback that stabilizes the system is presented by using the current and past disturbed measurements. To compensate the errors due to the input delays, we add the appropriate terms to the corresponding Lyapunov–Krasovskii functional that lead to LMIs conditions. The efficient bounds on the delays preserving that the resulting system is input-to-state stable (ISS) are found by verifying the LMIs. In addition, we employ the vector Lyapunov functional method that may allow larger couplings compared with the existing method. Finally, the effectiveness of the proposed methods is illustrated by numerical examples.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101079"},"PeriodicalIF":2.5,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141630160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Meng Zhou , Haicheng Li , Jing Wang , Tarek Raïssi
{"title":"Event-triggered H∞-fault-tolerant consistency control for multi-agent systems","authors":"Meng Zhou , Haicheng Li , Jing Wang , Tarek Raïssi","doi":"10.1016/j.ejcon.2024.101083","DOIUrl":"10.1016/j.ejcon.2024.101083","url":null,"abstract":"<div><p>This paper investigates the issue of active fault-tolerant control for multi-agent systems using an event-triggered mechanism, aiming to achieve state-consistency control under a leader–follower framework. The proposed control protocol consists of two main components: leader input estimation and fault tolerant controller design under an event-triggered mechanism. Firstly, a leader–follower error system is constructed, where the leader’s input is considered as a supplementary vector for the system state, resulting in an augmented error system. Then, a distributed state observer is designed for this augmented error system to transform the leader’s input estimation problem into an augmented state estimation issue. Furthermore, an event-triggered mechanism is designed to optimize network communication resources by updating the control law only when specific triggered conditions are met. Next, taking into account the errors introduced by the distributed observer and event-triggered mechanism, the problem of determining the state error feedback gain matrix is transformed into a linear matrix inequality problem using <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> robustness design and Lyapunov stability analysis methods. Finally, the effectiveness of this theoretical framework is validated through a practical example involving several VTOLs.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101083"},"PeriodicalIF":2.5,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141637728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stochastic maximum principle for optimal control problems with mixed delays and noisy observations","authors":"Heping Ma , Yu Shi","doi":"10.1016/j.ejcon.2024.101073","DOIUrl":"https://doi.org/10.1016/j.ejcon.2024.101073","url":null,"abstract":"<div><p>In this paper, we study the optimal control problem for the state governed by stochastic differential equation with delay and partially observed by a noisy process. Some variational inequalities and a necessary condition for optimality are established. Meanwhile, we introduce two kinds of adjoint equation which are shown to be equivalent. As an application, a linear–quadratic system and a financial problem are presented to demonstrate our results. In particular, its numerical simulation and some figures are used to illustrate the effect of delay on optimal solutions.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101073"},"PeriodicalIF":2.5,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141594268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Introducing a new nonlinear approach to model heat exchangers designed for control engineering applications","authors":"Yannick Fürst, Stefan Brandt, Martin Kriegel","doi":"10.1016/j.ejcon.2024.101072","DOIUrl":"10.1016/j.ejcon.2024.101072","url":null,"abstract":"<div><p>A new low-order dynamic model is proposed to predict the nonlinear heat transfer in heat exchangers, using a modeling approach that does not require detailed information about the flow arrangement. On the primary side, a model of a throttling valve is added to include the control signal’s influence on the secondary side’s output temperature. The model does not consider time delays but uses variable time constants that depend on the mass flow rates. A two-step procedure is proposed to estimate the model parameters: first, the complete parameter vector is estimated to solve a parameter estimation problem. Then, a subset of the estimated parameters is tuned online using an <em>Unscented Kalman Filter</em> to fit the model further to reality. The accuracy of the model as well as the implementation of the parameter estimation are demonstrated using an example from practice.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101072"},"PeriodicalIF":2.5,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0947358024001328/pdfft?md5=ccfc45a4694fe7c19d9b88c4806cb2d8&pid=1-s2.0-S0947358024001328-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jacob van der Woude , Christian Commault , Taha Boukhobza
{"title":"Output null controllability for linear time-invariant structured discrete-time systems: A graph theoretic condition","authors":"Jacob van der Woude , Christian Commault , Taha Boukhobza","doi":"10.1016/j.ejcon.2024.101077","DOIUrl":"https://doi.org/10.1016/j.ejcon.2024.101077","url":null,"abstract":"<div><p>In this paper, we consider a linear time-invariant discrete-time system and study the output null controllability problem, i.e., the problem of steering the output to zero in a finite number of steps. We assume that we only know the structure of the system, i.e., the zero/nonzero location in the system matrices. Hence, we consider a structural version of the output null controllability problem. We represent the structure of the system by means of a directed graph and present a graph theoretic sufficient condition for the problem to be generically solvable. Here generically solvable means that the problem is solvable for almost all systems with the same structure. We illustrate the conditions using an example.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101077"},"PeriodicalIF":2.5,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0947358024001377/pdfft?md5=82e0b00742aca4e6fff91010f97060fe&pid=1-s2.0-S0947358024001377-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141593522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Indirect Bang-Singular Algorithm (IBSA) for singular control problems with state-inequality constraints","authors":"Amin Jafarimoghaddam, Manuel Soler","doi":"10.1016/j.ejcon.2024.101071","DOIUrl":"https://doi.org/10.1016/j.ejcon.2024.101071","url":null,"abstract":"<div><p>In this study, we present the Indirect Bang-Singular Algorithm (IBSA), a straightforward computational framework developed to solve a wide range of Singular Optimal Control Problems (SOCP) with state-inequality constraints. The algorithm is a type of arc-classification technique which reformulates the SOCP as a nonlinear programming problem over the switching times, and possibly some other parameters such as the co-states’ initial values at the entry time to a singular interval. We derive the singular control feedback using the Pontryagin’s maximum principle and analyze the possibility of an interval where multiple controls are simultaneously singular. Furthermore, we incorporate the state-inequality constraints using the direct-adjoining method. Owing to the linear property of the co-state dynamics, the co-state variables and consequently, the singular controls are computed automatically using MATLAB’s symbolic platform. The nonlinear programming is constructed in a manner to circumvent the challenges posed by state-inequality constraints in more intricate scenarios involving singular controls expressed in terms of incomplete state-feedback functions. We also present several theorems that are integral to devising a straightforward computational approach for solving SOCPs. To assess the effectiveness of the proposed algorithm, we solve the following novel problems: (1) time–fuel-optimal commercial aircraft cruise flight in a vertical plane (<em>i.e.</em>, with state-inequality constraint, a scalar singular control, and wind shear effects), and (2) the free-routing time–fuel-optimal commercial aircraft flight in a vertical plane (<em>i.e.</em>, with state-inequality constraint, a dual-entry singular control, and wind shear effects). Notably, the optimality of the graphed results has been carefully inspected through first and second-order optimality conditions.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101071"},"PeriodicalIF":2.5,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141606313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiao Ge , Zixuan Wang , Siu-Long Lei , Seakweng Vong
{"title":"Exponential stability of system with time delay based on matrix-refined weighted functions","authors":"Xiao Ge , Zixuan Wang , Siu-Long Lei , Seakweng Vong","doi":"10.1016/j.ejcon.2024.101076","DOIUrl":"10.1016/j.ejcon.2024.101076","url":null,"abstract":"<div><p>Exponential stability of system with time-varying delay is studied in this paper. By taking intermediate polynomials and slack variables, we propose novel matrix-refined weighted functions (MRWFs). Then, based on the MRWFs, we construct a suitable Lyapunov-Krasovskii functional (LKF) and propose an exponential stability condition. Finally, numerical examples verify that the stability condition proposed in this paper is more effective, which is less conservative than some past criteria.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101076"},"PeriodicalIF":2.5,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Novel criteria for exponential stability in mean square of stochastic delay differential equations with Markovian switching","authors":"Ky Quan Tran , Pham Huu Anh Ngoc","doi":"10.1016/j.ejcon.2024.101074","DOIUrl":"10.1016/j.ejcon.2024.101074","url":null,"abstract":"<div><p>This paper addresses the exponential stability in mean square of nonlinear stochastic delay differential equations with Markovian switching. Using a novel approach, we present new explicit criteria for exponential stability in mean square. A discussion and two examples are given to illustrate the effectiveness of our criteria.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101074"},"PeriodicalIF":2.5,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Resilient leaderless and leader–follower consensus over random networks through ℓ-hop communication","authors":"Yilun Shang","doi":"10.1016/j.ejcon.2024.101075","DOIUrl":"https://doi.org/10.1016/j.ejcon.2024.101075","url":null,"abstract":"<div><p>This paper studies the resilient consensus problems under <span><math><mi>ℓ</mi></math></span>-hop communication over directed random networks. We develop novel multi-hop protocols to tackle both leaderless and leader–follower consensus with a single leader when the multiagent system is under both attack from Byzantine agents and failure of communication edges. Our unified framework features a multiple-input multiple-output system design, and generalizes the weighted mean subsequence reduced algorithms, in which extremal values in the <span><math><mi>ℓ</mi></math></span>-hop neighborhood of a cooperative agent are censored based on the notion of minimum message cover. We establish conditions on dynamical network structures, under which secure consensus with vector states can be achieved in the sense of almost sure convergence.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101075"},"PeriodicalIF":2.5,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0947358024001353/pdfft?md5=a41dde29e5061709d522d1db20d0212a&pid=1-s2.0-S0947358024001353-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141542139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Frequency-adaptive odd-harmonic repetitive control scheme for three-phase shunt active power filters","authors":"Feng Gao, Zhifeng Bai","doi":"10.1016/j.ejcon.2024.101078","DOIUrl":"https://doi.org/10.1016/j.ejcon.2024.101078","url":null,"abstract":"<div><p>Repetitive control (RC), which can track the periodic input or suppress the periodic disturbance with a zero steady-state error, is a promising control strategy for shunt active power filters (SAPF). However, the conventional RC (CRC) scheme will suffer a severe performance degradation caused by the grid frequency variations. In this article, a frequency-adaptive odd-harmonic repetitive control scheme with a single and fixed sampling rate is proposed for SAPF to deal with grid frequency variations and provide fast transient response for RC system. The frequency-adaptability of proposed repetitive control scheme can be implemented by updating the coefficients of the approximate expression for the delay unit in repetitive controller. The FIR filter based on Lagrange linear interpolation is used to transform the multirate repetitive control system into single-rate repetitive control system to address the problems caused by the multirate repetitive control system. Moreover, a fractional-order linear compensator with a simple structure is designed to compensate the magnitude and phase of the system accurately. Compared with other classical repetitive control strategies, the proposed repetitive control scheme can provide a better adaptation to the steady-state deviation and dynamic variation of grid frequency and ensure the control performance of SAPF system. Simulation and experimental results verify the effectiveness of the proposed control scheme.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"79 ","pages":"Article 101078"},"PeriodicalIF":2.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141487238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}