{"title":"Structural Spectral Methods for Solving Continuous Lyapunov Equations","authors":"I. B. Yadykin, I. A. Galyaev","doi":"10.1134/s0005117923120081","DOIUrl":"https://doi.org/10.1134/s0005117923120081","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>For linear multivariable continuous stationary stable control systems with a simple spectrum, presented in the form of a canonical diagonal form, controllability and observability forms, a method was developed and analytical formulas for spectral decompositions of gramians in the form of various Xiao matrices were obtained. A method and algorithm for calculating generalized Xiao matrices in the form of the Hadamard product for multiply connected continuous linear systems with many inputs and many outputs have been developed. This allows us to calculate the elements of the corresponding controllability and observability gramians in the form of products of the corresponding elements of the multiplier matrices and a matrix that is the sum of all possible products of the numerator matrices of the matrix transfer function of the system. New results are obtained in the form of spectral and singular decompositions of the inverse gramians of controllability and observability. This makes it possible to obtain invariant decompositions of energy functionals and formulate new criteria for the stability of linear systems taking into account the nonlinear effects of mode interaction.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140201174","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}
{"title":"Comparison of Distribution Procedures in Blended Finance","authors":"A. V. Shchepkin","doi":"10.1134/s0005117923120056","DOIUrl":"https://doi.org/10.1134/s0005117923120056","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This paper is devoted to the blended (joint) finance mechanism of a megaproject consisting of several projects. One part of the megaproject budget comes from the megaproject manager and the other part from project contractors. When distributing this budget, the megaproject manager considers information about the amount of the contractor’s internal funds allocated to project implementation. Project contractors seek to get more funds from the megaproject manager; in turn, the megaproject manager is interested in attracting more funds from project contractors. To achieve this goal, the megaproject manager applies different procedures to distribute the budget. Project contractors use the information reported to the megaproject manager to increase the funds allocated to them. Straight and reverse priority distribution procedures in the blended finance mechanism are analyzed. A distribution procedure is determined that stimulates project contractors to allocate more of their internal funds to the project in a Nash equilibrium.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140201005","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}
A. D. Tsvirkun, A. F. Rezchikov, V. A. Kushnikov, O. I. Dranko, A. S. Bogomolov, A. D. Selyutin
{"title":"Models and Methods for Checking the Attainability of Goals and Feasibility of Plans in Large-Scale Systems Using the Example of Goals and Plans for Elimination of the Consequences of Flood","authors":"A. D. Tsvirkun, A. F. Rezchikov, V. A. Kushnikov, O. I. Dranko, A. S. Bogomolov, A. D. Selyutin","doi":"10.1134/s000511792312007x","DOIUrl":"https://doi.org/10.1134/s000511792312007x","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Models and methods have been developed to verify the achievability of goals and the feasibility of plans implemented when managing large-scale systems in their development. An algorithm for analyzing the achievability of a set of goals and plans implemented when managing these systems is proposed and justified. Statements and hypotheses that make it possible to machine-check the feasibility of plans have been generated. A model example is given that confirms the possibility of checking the feasibility of plans for eliminating the consequences of a flood using the developed models and methods. In managing large-scale systems development, it is advisable to use control loops that check the achievability of set goals and the feasibility of plans over a selected time interval. In the absence of this verification, the chosen trajectory of development of a large-scale system at specific points in time may turn out to be unrealizable, which will lead to disruption of the work being carried out, as well as to significant costs of the human, financial, technical and other types of resources for the implementation of obviously impracticable plans.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140201075","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}
{"title":"An Interval Observer-Based Method to Diagnose Discrete-Time Systems","authors":"A. N. Zhirabok, A. V. Zuev","doi":"10.1134/s0005117923120093","DOIUrl":"https://doi.org/10.1134/s0005117923120093","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This paper proposes a method for diagnosing linear dynamic systems described by discrete-time models with exogenous disturbances based on interval observers. Formulas are derived to construct an interval observer producing two values of the residual as follows: if zero is between these values, then the system has no faults to be detected by the observer. The case where zero does not belong to the interval between these values is qualified as the occurrence of a fault. The theoretical results are illustrated by an example.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140205560","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}
A. N. Zhirabok, A. V. Zuev, V. F. Filaretov, A. E. Shumsky, Kim Chkhun Ir
{"title":"Interval Observers for Continuous-Time Systems with Parametric Uncertainties","authors":"A. N. Zhirabok, A. V. Zuev, V. F. Filaretov, A. E. Shumsky, Kim Chkhun Ir","doi":"10.1134/s0005117923110085","DOIUrl":"https://doi.org/10.1134/s0005117923110085","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this paper, interval observers are designed for linear dynamic systems described by continuous-time models with exogenous disturbances, measurement noises, and parametric uncertainties. Jordan canonical form-based relations are presented for an interval observer that estimates the set of admissible values of a given linear function of the system state vector. The theoretical results are illustrated by a practical example.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140045840","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}
{"title":"Exponentially Stable Adaptive Control. Part III. Time-Varying Plants","authors":"A. I. Glushchenko, K. A. Lastochkin","doi":"10.1134/s0005117923110048","DOIUrl":"https://doi.org/10.1134/s0005117923110048","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A state-feedback adaptive control system is proposed for a class of linear systems in the controllable canonical form with time-varying unknown parameters described by known nonstationary exosystems with unknown initial conditions. The solution ensures global exponential stability of the closed-loop system in case a regressor is finitely exciting, and also does not require <i>a priori</i> information about the sign of the high-frequency gain (control direction). The obtained theoretical results are validated via mathematical modeling.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140045842","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}
V. P. Ivanov, V. K. Zavadskiy, A. A. Muranov, A. I. Chadaev, E. B. Kablova, L. G. Klenovaya, I. E. Tropova
{"title":"Terminal Control of Center of Mass Motion and Propellant Consumption in Liquid-Propellant Rocket Carriers","authors":"V. P. Ivanov, V. K. Zavadskiy, A. A. Muranov, A. I. Chadaev, E. B. Kablova, L. G. Klenovaya, I. E. Tropova","doi":"10.1134/s0005117923100041","DOIUrl":"https://doi.org/10.1134/s0005117923100041","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>We dedicate this work to the memory of Academician B.N. Petrov. It develops the principles of terminal control of rocket carriers formulated by him. Next-generation rocket carriers implement the principle of interconnected, coordinated terminal control of the center of mass motion and propellant consumption. In this article we consider the problem of synthesizing such control and the main principles of its implementation.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139980360","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}
{"title":"Parametrization of Optimal Anisotropic Controllers","authors":"A. Yu. Kustov","doi":"10.1134/s0005117923100077","DOIUrl":"https://doi.org/10.1134/s0005117923100077","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This paper provides a parametrization of optimal anisotropic controllers for linear discrete time invariant systems. The controllers to be designed are limited by causal dynamic output-feedback control laws. The obtained solution depends on several adjustable parameters that determine the specific type of controller, and is of the form of a system of the Riccati equations relating to a <span>({{mathcal{H}}_{2}})</span>-optimal controller for a system formed by a series connection of the original system and the worst-case generating filter corresponding to the maximum value of the mean anisotropy of the external disturbance.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139979477","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}
{"title":"Information Support for Aircraft Crew in Takeoff and Landing Modes","authors":"A. M. Shevchenko, B. V. Pavlov, G. N. Nachinkina","doi":"10.1134/s0005117923100107","DOIUrl":"https://doi.org/10.1134/s0005117923100107","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Methods for assessing the current state and forecasting critical events are developed in order to reduce the stress load on the pilot of an aircraft. These methods are based on the energy approach to flight control. Algorithms for forecasting the possibility of safe takeoff in the presence of high-rise obstacles on the trajectory are obtained. Forecast correction algorithms are introduced. Algorithms for calculating the braking distance depending on the runway condition are found in the modes of landing or emergency braking at takeoff. Some ways to correct forecasts considering the sequence and operation time of all braking devices are proposed. Model tests are carried out for the algorithms in the entire range of operating conditions.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139979524","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}
{"title":"Control of a Free-Flying Space Manipulation Robot with a Payload","authors":"V. Yu. Rutkovskii, V. M. Glumov","doi":"10.1134/s0005117923100090","DOIUrl":"https://doi.org/10.1134/s0005117923100090","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The control modes of a free-flying space manipulation robot during the transportation and installation of a building element on a large space structure are considered. It is proposed to save the working fluid of the gas-jet engines of the robot body when moving along the trajectory by using the mobility of a manipulator with electromechanical drives for the angular stabilization of the mechanical “robot–transported element” system. Conditions ensuring the stable motion of the manipulator in the working area when installing the element on the assembled structure are obtained. A stability domain is determined to select the initial configuration of the manipulator before installing the element and its admissible change during installation. The control algorithms are designed based on the principle of dynamic feedback systems.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139979627","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}