{"title":"Motion control of a nonhomogeneous rod with a boundary load","authors":"L. Akulenko, A. Gavrikov","doi":"10.1109/STAB.2018.8408335","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408335","url":null,"abstract":"In this paper, a hybrid vibration system is considered. It consists of a transversally oscillating nonhomogeneous rod with a boundary load at the end, and a distributed control force is applied to the system. It is required to transfer the system from some initial state to the desired one without excitation of vibrations. We suggest to implement this motion with the help of slow finite control functions after preliminary damping of the highest eigenmodes.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131691487","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}
{"title":"Evasion from pursuers in the problem of group pursuit with fractional derivatives and phase constraints","authors":"A. Bannikov","doi":"10.1109/STAB.2018.8408347","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408347","url":null,"abstract":"In this paper we consider the evasion problem from the group of pursuers in the finite-dimensional Euclidean space. The motion is describe by the linear system of fractional order (<sup>C</sup>D<sup>α</sup><inf>0+</inf> z<inf>i</inf>) = Az<inf>i</inf> + u<inf>i</inf> - v, Where <sup>C</sup>D<sup>α</sup><inf>0+</inf>f is the Caputo derivative of order α ∊ (0,1) of the function f and A is a simple matrix. The initial positions are given at the initial time. The set of admissible controls of all players is a convex compact. It is further assumed that the evader does not leave the convex polyhedron with nonempty interior. In terms of the initial positions and the parameters of the game, sufficient conditions for the solvability of the evasion problem are obtained.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132061669","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}
{"title":"Bringing a cart with oscillators to a given state in the presence of perturbations","authors":"I. Ananievski, T. Ishkhanyan","doi":"10.1109/STAB.2018.8408339","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408339","url":null,"abstract":"A control problem for a cart that moves along a horizontal straight line under a bounded steering force in the presence of unknown small perturbation is considered. Two linear oscillators are attached to the cart. We observe only the coordinate and velocity of the cart, while the phase states of the oscillators are unknown. A control law which in a finite time stops the cart at a given terminal state and then holds it there is proposed.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123171984","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}
{"title":"Robust trajectory tracking control for robot manipulators without velocity measurements","authors":"O. Peregudova","doi":"10.1109/STAB.2018.8408385","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408385","url":null,"abstract":"In the paper, the robust trajectory tracking control problem is investigated for robotic manipulators which are not equipped with the velocity sensors. Our contribution consists in establishing the ultimately boundedness in closed-loop system by using the dynamic position-feedback controller with feedforward. Using Lyapunov function method and comparison principle we construct the non-linear controller with variable gain matrices and first-order linear dynamic compensator such that the closed-loop system is ultimately bounded.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"336 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114401223","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}
{"title":"Problems of adaptive optimal robust control with linear-fractional performance indexes","authors":"V. Sokolov","doi":"10.1109/STAB.2018.8408403","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408403","url":null,"abstract":"This paper presents some problems of adaptive optimal robust control where control criteria are linear or linear-fractional functions of unknown and non-identifiable parameters of linear discrete-time systems under uncertainty and bounded exogenous disturbance. Set-membership estimation and optimal vector estimation of unknown parameters in these problems are reduced to recurrent linear programming and are computationally tractable in the case of a small number of estimated parameters.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"430 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116010656","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}
{"title":"Suboptimal anisotropy-based control for linear discrete-time systems with norm-bounded uncertainties","authors":"O. Andrianova, A. Belov","doi":"10.1109/STAB.2018.8408343","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408343","url":null,"abstract":"In this paper, suboptimal anisotropy-based control for linear discrete-time systems with norm-bounded paramet-ric uncertainties is designed. State-feedback and static output-feedback control laws, that guarantee a known level of rejection of random input disturbances, are constructed. A numerical example is given.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122580237","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}
{"title":"The application of a method of dynamic programming for the determination of the possibility for fuel economy during interregional flights","authors":"S. Kumakshev, A. Shmatkov","doi":"10.1109/STAB.2018.8408376","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408376","url":null,"abstract":"The comparison of the time-optimal and fuel-optimal trajectories of the medium-range aircraft was carried out. The optimization was implemented for the flight as a whole, without the decomposition into the sections of the climb, maintaining the flight level and descending. The mathematical model is realistic enough and involves numerous limitations on the phase coordinates and control parameters.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127794348","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}
{"title":"Systems with regime switching on manifolds","authors":"T. Averina, K. Rybakov","doi":"10.1109/STAB.2018.8408345","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408345","url":null,"abstract":"We propose an extension for the stochastic dynamoical systems whose trajectories belong to a given manifold. This extension is the stochastic systems with regime switching, namely the systems with a variable and random structure (stochastic hybrid systems, switching diffusions). The description, modeling and statistical analysis problems for such systems are considered.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132291573","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}
{"title":"On librations of a particle on a gantline fixed on a gravitationally stabilized space station","authors":"A. V. Rodnikov","doi":"10.1109/STAB.2018.8408393","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408393","url":null,"abstract":"We study dynamics of a particle moving along a gantline with ends fixed on endpoints of an extended space station which mass center describes a circular orbit in the central Newtonian force field. We restrict to the case of gravitationally oriented station, in other words, we suppose that the station is directed on the attracting center throughout the motion. Assuming that the gantline is weightless and unstretchable tether that realizes unilateral constraint, we establish that spacial motions of the particle are librations near the orbit plane generally. Such librations might be regular, including periodic ones, or chaotic. We note that, in general case, the gantline remains taut all the time for regular motions only.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132507119","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}
{"title":"On the property of proportional local assignability of the Lyapunov spectrum for discrete time-varying systems","authors":"S. Popova, I. Banshchikova","doi":"10.1109/STAB.2018.8408389","DOIUrl":"https://doi.org/10.1109/STAB.2018.8408389","url":null,"abstract":"We investigate the question of the proportional local assignability of the Lyapunov exponents of every system belonging to the Bebutov hull of a given linear control system with discrete time. We have obtained conditions that ensure the equivalence of the uniform complete controllability of a given system and the proportional local assignability of the Lyapunov spectrum of each system from the Bebutov hull of this given system.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121564598","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}