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Approximation-Based Approach to Adaptive Control of Linear Time-Varying Systems 基于逼近的线性时变系统自适应控制方法
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-09-06 DOI: 10.1134/S0005117924050047
A. Glushchenko, K. Lastochkin
{"title":"Approximation-Based Approach to Adaptive Control of Linear Time-Varying Systems","authors":"A. Glushchenko,&nbsp;K. Lastochkin","doi":"10.1134/S0005117924050047","DOIUrl":"10.1134/S0005117924050047","url":null,"abstract":"<p>An adaptive state-feedback control system is proposed for a class of linear time-varying systems represented in the controller canonical form. The adaptation problem is reduced to the one of Taylor series-based first approximations of the ideal controller parameters. The exponential convergence of identification and tracking errors of such an approximation to an arbitrarily small and adjustable neighbourhood of the equilibrium point is ensured if the condition of the regressor persistent excitation with a sufficiently small time period is satisfied. The obtained theoretical results are validated via numerical experiments.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142198109","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 the Transformation of a Stationary Fuzzy Random Process by a Linear Dynamic System 论线性动态系统对静态模糊随机过程的改造
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-08-23 DOI: 10.1134/S0005117924040039
V. L. Khatskevich
{"title":"On the Transformation of a Stationary Fuzzy Random Process by a Linear Dynamic System","authors":"V. L. Khatskevich","doi":"10.1134/S0005117924040039","DOIUrl":"10.1134/S0005117924040039","url":null,"abstract":"<p>In this paper, stationary random processes with fuzzy states are studied. The properties of their numerical characteristics—fuzzy expectations, expectations, and covariance functions—are established. The spectral representation of the covariance function, the generalized Wiener–Khinchin theorem, is proved. The main attention is paid to the problem of transforming a stationary fuzzy random process (signal) by a linear dynamic system. Explicit-form relationships are obtained for the fuzzy expectations (and expectations) of input and output stationary fuzzy random processes. An algorithm is developed and justified to calculate the covariance function of a stationary fuzzy random process at the output of a linear dynamic system from the covariance function of a stationary input fuzzy random process. The results rest on the properties of fuzzy random variables and numerical random processes. Triangular fuzzy random processes are considered as examples.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142198113","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
Composite Observer of a Linear Time-Varying Singularly Perturbed System with Quasidifferentiable Coefficients 具有准微分系数的线性时变奇异扰动系统的复合观测器
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-08-23 DOI: 10.1134/S0005117924040064
O. B. Tsekhan
{"title":"Composite Observer of a Linear Time-Varying Singularly Perturbed System with Quasidifferentiable Coefficients","authors":"O. B. Tsekhan","doi":"10.1134/S0005117924040064","DOIUrl":"10.1134/S0005117924040064","url":null,"abstract":"<p>For a linear time-varying singularly perturbed system with a small parameter μ for a part of derivatives and quasi-differentiable coefficients, existence conditions are established and μ-asymptotic composite full- and reduced-order observers are constructed. The error in estimating a state with an arbitrary predetermined exponential decay rate converges to an infinitesimal value of the same order of smallness as the small parameter. The observer gain vector are expressed in terms of the gain vectors of subsystems of smaller dimension than the original one and independent of the small parameter, and the parameters of the original system are subject to weaker requirements than those previously known. A constructive algorithm for calculating the gain vector of a composite observer is presented.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142198115","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
Global Stabilization of a Chain of Two Integrators by a Feedback in the Form of Nested Saturators 通过嵌套饱和器形式的反馈实现双积分器链的全局稳定
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-08-23 DOI: 10.1134/S0005117924040040
A. V. Pesterev, Yu. V. Morozov
{"title":"Global Stabilization of a Chain of Two Integrators by a Feedback in the Form of Nested Saturators","authors":"A. V. Pesterev,&nbsp;Yu. V. Morozov","doi":"10.1134/S0005117924040040","DOIUrl":"10.1134/S0005117924040040","url":null,"abstract":"<p>Stability of a switching system, which comes to existence when stabilizing a chain of two integrators by a feedback in the form of nested saturators, is studied. The use of the feedback in the form of nested saturators makes it possible to take into account boundedness of the control resource and to ensure the fulfillment of the phase constraint on the velocity of approaching the equilibrium state, which is especially important in the case of large initial deviations. A Lyapunov function is constructed by means of which global asymptotic stability of the closed-loop system is proved for any positive feedback coefficients.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142198107","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
Self-Regulating Dynamic Measurement Method 自调节动态测量方法
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-08-23 DOI: 10.1134/S0005117924040076
D. D. Yaparov, A. L. Shestakov
{"title":"Self-Regulating Dynamic Measurement Method","authors":"D. D. Yaparov,&nbsp;A. L. Shestakov","doi":"10.1134/S0005117924040076","DOIUrl":"10.1134/S0005117924040076","url":null,"abstract":"<p>A dynamic measuring system is considered. A new model of the measuring system, a method for processing of measurement results and a method of restoring the input signal of the system by the noisy output signal are proposed. The estimation of the accuracy of the method and a computational experiment demonstrating the efficiency of the signal recovery method are presented.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142227659","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
An Extension of the Feedback Linearization Method in the Control Problem of an Inverted Pendulum on a Wheel 轮上倒摆控制问题中反馈线性化方法的扩展
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-08-23 DOI: 10.1134/S0005117924040052
L. B. Rapoport, A. A. Generalov, B. A. Barulin, M. D. Gorbachev
{"title":"An Extension of the Feedback Linearization Method in the Control Problem of an Inverted Pendulum on a Wheel","authors":"L. B. Rapoport,&nbsp;A. A. Generalov,&nbsp;B. A. Barulin,&nbsp;M. D. Gorbachev","doi":"10.1134/S0005117924040052","DOIUrl":"10.1134/S0005117924040052","url":null,"abstract":"<p>This paper continues previous studies on designing stabilizing control laws for a mechanical system consisting of a wheel and a pendulum suspended on its axis. The control objective is to simultaneously stabilize the vertical position of the pendulum and a given position of the wheel. The difficulty of this problem is that the same control is used to achieve two targets, i.e., stabilize the pendulum angle and the wheel rotation angle. Previously, the output feedback linearization method was applied to this problem. The sum of the pendulum angle and the wheel rotation angle was taken as the output. For the closed loop system to be not only asymptotically stable in the output but also to have asymptotically stable zero dynamics, a dissipative term was added to the output-stabilizing control law. Below, a two-parameter modification of this law is described. Along with the dissipative term, we introduce a positive factor. The more general parameterization allows stabilizing this system in the cases where the control law proposed previously appeared ineffective. The properties of the new control law are investigated, and the attraction domain is estimated. The estimation procedure is reduced to checking the feasibility of linear matrix inequalities.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142198065","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 the External Estimation of Reachable and Null-Controllable Limit Sets for Linear Discrete-Time Systems with a Summary Constraint on the Scalar Control 论线性离散时间系统的可达到极限集和空可控极限集的外部估计与标量控制的简要约束
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-08-23 DOI: 10.1134/S0005117924040027
D. N. Ibragimov
{"title":"On the External Estimation of Reachable and Null-Controllable Limit Sets for Linear Discrete-Time Systems with a Summary Constraint on the Scalar Control","authors":"D. N. Ibragimov","doi":"10.1134/S0005117924040027","DOIUrl":"10.1134/S0005117924040027","url":null,"abstract":"<p>The problem of constructing reachable and null-controllable sets for stationary linear discrete-time systems with a summary constraint on the scalar control is considered. For the case of quadratic constraints and a diagonalizable matrix of the system, these sets are built explicitly in the form of ellipsoids. In the general case, the limit reachable and null-controllable sets are represented as fixed points of a contraction mapping in the metric space of compact sets. On the basis of the method of simple iteration, a convergent procedure for constructing their external estimates with an indication of the a priori approximation error is proposed. Examples are given.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225227","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 Forced Oscillations in a Relay System with Hysteresis 论带有滞后的继电器系统中的强迫振荡
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-08-23 DOI: 10.1134/S0005117924040088
Zh. T. Zhusubaliyev, U. A. Sopuev, D. A. Bushuev
{"title":"On Forced Oscillations in a Relay System with Hysteresis","authors":"Zh. T. Zhusubaliyev,&nbsp;U. A. Sopuev,&nbsp;D. A. Bushuev","doi":"10.1134/S0005117924040088","DOIUrl":"10.1134/S0005117924040088","url":null,"abstract":"<p>This paper discusses the phenomenon associated with the forced synchronization (“entrainment of a self-sustained oscillator by an external force”) in a relay system with hysteresis, which manifests itself in the occurrence of periodic motions close to the rhythmic activity of neurons, when packets of fast oscillations are interspersed with intervals of the slow dynamics. \u0000To study this phenomenon, we introduce a circle mapping, which, depending on the parameters, can be a circle diffeomorphism or discontinuous map (“gap map”). In both cases, this mapping demonstrates the so-called period-adding bifurcation structure. \u0000It is demonstrated that packets number of fast oscillations in the period of periodic motion is determined by the rotation number, and the length of the intervals between the packets may be found of the boundaries of the absorbing interval. The change in the number of pulses in the packet occurs through the border-collision bifurcation.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142198111","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
Self-Adjusted Consensus Clustering with Agglomerate Algorithms 利用聚类算法进行自调整共识聚类
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-08-06 DOI: 10.1134/S0005117924030044
B. G. Mirkin, A. A. Parinov
{"title":"Self-Adjusted Consensus Clustering with Agglomerate Algorithms","authors":"B. G. Mirkin,&nbsp;A. A. Parinov","doi":"10.1134/S0005117924030044","DOIUrl":"10.1134/S0005117924030044","url":null,"abstract":"<p>This paper reports of theoretical and computational results related to an original concept of consensus clustering involving what we call the projective distance between partitions. This distance is defined as the squared difference between a partition incidence matrix and its image over the orthogonal projection in the linear space spanning the other partition incidence matrix. It appears, provided that the ensemble clustering is of a sufficient size, agglomerate clustering with the semi-average within-cluster similarity criterion effectively solves the problem of consensus partition and, moreover, of the number of clusters in it.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141929961","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
Plausible Reasoning in an Algorithm for Generation of Good Classification Tests 生成良好分类测试算法中的合理推理
IF 0.6 4区 计算机科学
Automation and Remote Control Pub Date : 2024-08-06 DOI: 10.1134/S0005117924030056
X. A. Naidenova, V. A. Parkhomenko, T. A. Martirova, A. V. Schukin
{"title":"Plausible Reasoning in an Algorithm for Generation of Good Classification Tests","authors":"X. A. Naidenova,&nbsp;V. A. Parkhomenko,&nbsp;T. A. Martirova,&nbsp;A. V. Schukin","doi":"10.1134/S0005117924030056","DOIUrl":"10.1134/S0005117924030056","url":null,"abstract":"<p>The paper is devoted to the application of the plausible reasoning principles to symbolic machine learning. It seems for us that the applications are essential and necessary to improve the efficiency of ML algorithms. Many such algorithms produce and use rules in the form of implication. The generation of these rules with respect to the object classes is discussed. Our classification rules are specific. Their premise part, called good closed tests (GCTs), should cover as many objects as possible. One of the algorithms of GCTs generation called NIAGARA is presented. The algorithm is revisited and new procedures based on plausible reasoning are proposed. Their correctness is proved in propositions. We use the following rules: implication, interdiction, inductive rules of extending current sets of goal-oriented objects, rules of pruning the domain of searching solution. They allow to rise the effectiveness of algorithms.</p>","PeriodicalId":55411,"journal":{"name":"Automation and Remote Control","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141929963","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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