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2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)最新文献

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A Nonlinear Model of Heat Transfer for Cylindrical Bodies Controlled by a Thermoelectric Converter 热电变换器控制圆柱体传热的非线性模型
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140683
A. Gavrikov, G. Kostin
{"title":"A Nonlinear Model of Heat Transfer for Cylindrical Bodies Controlled by a Thermoelectric Converter","authors":"A. Gavrikov, G. Kostin","doi":"10.1109/STAB49150.2020.9140683","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140683","url":null,"abstract":"A boundary control problem for heat transfer processes in solid bodies is considered. The bodies are actuated by applying a voltage to a thermoelectric converter — the Peltier element. A nonlinear model describing the processes both in the Peltier element and heated or cooled bodies is proposed. The model takes into account the recuperation of the heat energy into electric one due to the Seebeck effect and the Joule heating. It is also assumed that there is an exchange of heat with the surrounding medium. As an example, we consider a structure consisting of two coaxial cylinders. A thin Peltier element is placed between them in contact with the ends of the cylinders. By using linearization with respect to the temperature, eigenfunctions are analytically constructed and eigenvalues are found for the resulting nonlinear control problem. Based on the feedback linearization, a feedforward control strategy and feedback compensation of the external disturbances are proposed.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"166 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131113415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Tracking problem with consideration of physical restrictions on phase variables and controls 考虑相位变量和控制的物理限制的跟踪问题
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140655
S. Gulyukina, V. Utkin
{"title":"Tracking problem with consideration of physical restrictions on phase variables and controls","authors":"S. Gulyukina, V. Utkin","doi":"10.1109/STAB49150.2020.9140655","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140655","url":null,"abstract":"The paper proposes the solution of the tracking problem for the class of nonlinear systems with restrictions on phase variables and controls based on the nonlinear transformation of the coordinate basis in the form of linear functions with saturation. The results of synthesis within the systems with deep feedback are given. The problem of controlling a heat power object is considered as an application.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129092663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Autonomous Guidance and Attitude Control of Information Satellite 信息卫星自主制导与姿态控制
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140501
Y. Somov, S. Butyrin, T. Somova
{"title":"Autonomous Guidance and Attitude Control of Information Satellite","authors":"Y. Somov, S. Butyrin, T. Somova","doi":"10.1109/STAB49150.2020.9140501","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140501","url":null,"abstract":"A new method for autonomous guidance and digital control of the spacecraft orientation while tracking the vector of modified Rodrigues parameters is presented.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128106153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Models of a Solar Sail Spacecraft Controlled Motion 太阳帆航天器控制运动的数学模型
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140472
V. Korolev, E. Polyakhova, I. Pototskaya, N. Stepenko
{"title":"Mathematical Models of a Solar Sail Spacecraft Controlled Motion","authors":"V. Korolev, E. Polyakhova, I. Pototskaya, N. Stepenko","doi":"10.1109/STAB49150.2020.9140472","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140472","url":null,"abstract":"The features of a solar sail Spacecraft control and the possibilities to take into account the translational and rotational motion are considered. Based on the approximation of the motion equations for various orbits and body parameters, control possibilities and conditions for the stability of motion in given orbits as well as in the vicinity of libration points are discussed.To control the Spacecraft motion you can change the size, shape, surface properties or orientation of the sail elements relative to the flow of sunlight. The equations of motion can be presented based on a model of the problem of two bodies moving in a Central gravitational field, taking into account perturbations. When creating geosynchronous orbits in the vicinity of the Earth or for placing the Sun-Earth-Spacecraft system at libration points, a more general model of the photogravitational restricted three-body problem should be used.To obtain control capabilities and stability conditions for the motion in the specified orbits, as well as in the vicinity of collinear or triangular libration points, we do approximation of the perturbed motion equations system for different orbits and parameters of the main bodies. The stability of the Spacecraft sails system orientation is provided by the forces moments relative to the center of mass.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"143 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124551325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Polynomial-Based Trajectory Planning for Affine Dynamical Systems under State and Input Constraints 状态和输入约束下仿射动力系统基于多项式的轨迹规划
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140697
A. Golubev, N. V. Utkina
{"title":"Polynomial-Based Trajectory Planning for Affine Dynamical Systems under State and Input Constraints","authors":"A. Golubev, N. V. Utkina","doi":"10.1109/STAB49150.2020.9140697","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140697","url":null,"abstract":"In this note we deal with analytical time polynomial based motion planning considerations. A class of differentially flat affine dynamical systems that can be rendered as a set of second-order controlled subsystems is analyzed. It is shown that state and input box constraints can be readily accounted for by proper choice of time of motion or/and initial or final values of some of the state variables and their time derivatives.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132813326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Finding Switching Instants for Control of Discrete-time Dynamical Polysystems by Using Continued Fractions 用连分式寻找离散动态多系统控制的切换瞬间
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140678
S. Khryashchev
{"title":"On Finding Switching Instants for Control of Discrete-time Dynamical Polysystems by Using Continued Fractions","authors":"S. Khryashchev","doi":"10.1109/STAB49150.2020.9140678","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140678","url":null,"abstract":"In this paper, dynamical polysystems with piecewise constant controls are considered. Provided that the dynamical system is controllable in continuous time, the question of its controllability in discrete time is also studied. Controls in discrete time are constructed by using the theory of multidimensional continued fractions. These continued fractions approximate the control switching instants for continuous time.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131454759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 Application of the Averaging Method in the Problem of Lorentz Stabilization of a Satellite on a Slightly Inclined Orbit 平均法在微倾斜轨道卫星洛伦兹稳定问题中的应用
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140567
A. Aleksandrov, A. Tikhonov
{"title":"On the Application of the Averaging Method in the Problem of Lorentz Stabilization of a Satellite on a Slightly Inclined Orbit","authors":"A. Aleksandrov, A. Tikhonov","doi":"10.1109/STAB49150.2020.9140567","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140567","url":null,"abstract":"The problem of Lorentz stabilization of a satellite in the orbital coordinate system on an orbit of small inclination under conditions of a disturbing gravitational torque is studied. To solve this problem, which is characterized by incomplete control, the averaging technique for differential equations is developed. An original construction of a Lyapunov function is used.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"48 3-4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114046749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Anisotropic Norm Computation for Time-invariant Random System 定常随机系统的各向异性范数计算
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140681
A. Kustov, V. Timin, A. Yurchenkov
{"title":"Anisotropic Norm Computation for Time-invariant Random System","authors":"A. Kustov, V. Timin, A. Yurchenkov","doi":"10.1109/STAB49150.2020.9140681","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140681","url":null,"abstract":"In this paper, anisotropy-based analysis for linear time-invariant systems with random matrices is studied. Matrices of the system are supposed to be stationary random process. The necessary and sufficient condition of innerness for considered system is derived. Anisotropic norm computation algorithm based on state space representation is developed.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121037935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Two-cascade multiloop control system of a plasma shape in a tokamak with decoupling and robust PID-controllers 具有解耦和鲁棒pid控制器的托卡马克等离子体形状双级联多环控制系统
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140722
Y. Mitrishkin, V. I. Kruzhkov
{"title":"Two-cascade multiloop control system of a plasma shape in a tokamak with decoupling and robust PID-controllers","authors":"Y. Mitrishkin, V. I. Kruzhkov","doi":"10.1109/STAB49150.2020.9140722","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140722","url":null,"abstract":"Two-cascade plasma shape control system with decoupling was designed for a linear model of a vertically elongated tokamak Globus-M2. The inner multivariable cascade controls currents in poloidal field coils, outer multivariable cascade controls plasma shape. In both cascades a decoupling matrix is used. The idea of decoupling is in reversing of matrix relationship between inputs and outputs of the system in steady-state regime. PID-controllers in the system were tuned by the QFT approach (Quantitative Feedback Theory). The obtained control system with the linear plasma model and non-linear models of current invertors as actuators for plasma position control is simulated in MatLab/Simulink environment.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126598997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Extremal Controls in the Sub-Riemannian Problem on the Group of Rigid Body Motions 刚体运动群亚黎曼问题的极值控制
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI: 10.1109/STAB49150.2020.9140718
Alexey Pavlovich Mashtakov
{"title":"On Extremal Controls in the Sub-Riemannian Problem on the Group of Rigid Body Motions","authors":"Alexey Pavlovich Mashtakov","doi":"10.1109/STAB49150.2020.9140718","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140718","url":null,"abstract":"We consider the sub-Riemannian problem on the group of rigid body motions in three–dimensional space. Such a problem is encountered in the analysis of 3D images as well as in describing the motion of a solid body in a fluid. Mathematically, this problem reduces to solving a Hamiltonian system, the vertical part of which is a system of six differential equations with unknown functions — extremal controls. We derive an ordinary differential equation for one of the components of the extremal control vector. The obtained equation admits a solution in elliptic functions. Then we find the expression in the operator form for the remaining components of the extremal control vector.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129846938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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