{"title":"Sufficient Epsilon-Optimality Conditions for Stochastic Systems Driven by Non-Poisson Impulses","authors":"K. Rybakov","doi":"10.1109/STAB49150.2020.9140690","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140690","url":null,"abstract":"For nonlinear stochastic systems driven by the Wiener process and non-Poisson impulses the sufficient epsilon-optimality conditions for the control problem are obtained. These conditions can be used to solve approximately the optimal control problem and to estimate an accuracy of the approximate solution in terms of the quality criterion.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"7 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":"128288047","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":"Biologically inspired optimization algorithm in satellite attitude control problems","authors":"A. Okhitina, D. Roldugin, S. Tkachev","doi":"10.1109/STAB49150.2020.9140565","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140565","url":null,"abstract":"The three-axis magnetic control for satellite angular motion is considered. The control torque cannot be applied along the geomagnetic induction vector. The system is ultimately controllable. However, the control construction or its parameters adjustment require specific procedures. Biologically inspired optimization algorithm is proposed to find the feedback control gains that accommodate the disturbances influence.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"27 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":"126436418","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":"Self-sustained oscillations of a double aerodynamic pendulum","authors":"A. Holub, Y. Selyutskiy, Shyh-Shin Hwang","doi":"10.1109/STAB49150.2020.9140608","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140608","url":null,"abstract":"A mechanical system is considered that represents an elastically mounted double aerodynamic pendulum. Conditions of instability of the trivial equilibrium of the pendulum (where both links are oriented along the flow) are obtained. When these conditions are met, the pendulum can perform oscillations, energy of which can be converted, e.g., into electric power. Dependence of characteristics of oscillatory regimes upon the external load is studied. The load is described by introducing damping into the first joint of the pendulum.","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":"126487486","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":"Construction of Lyapunov–Krasovskii Functionals for Nonlinear Mechanical Systems with Delay","authors":"A. Aleksandrov","doi":"10.1109/STAB49150.2020.9140569","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140569","url":null,"abstract":"New constructions of Lyapunov–Krasovskii functionals are proposed for certain classes of nonlinear mechanical systems with delay. With the aid of these functionals, stability conditions of equilibrium positions and estimates of transient times, as well as stability conditions for corresponding systems with switching force fields are obtained.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"113 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":"127703345","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":"Periodic Regimes of Motion of a Chain of Interacting Bodies in a Medium with Resistance","authors":"D. Knyazkov, T. Figurina","doi":"10.1109/STAB49150.2020.9140670","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140670","url":null,"abstract":"A system of bodies moving along a straight line in a resistive medium is considered. Distances between the bodies change periodically. Periodic regimes of motion of the system in which the velocities of all bodies are also periodic are studied. It is shown that for a wide class of laws of resistance of a medium, the periodic regime of motion exists, is unique, and is exponentially stable.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"3 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":"127094029","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":"Control of a Mechanical System Based on the Constraint Stabilization Technique","authors":"A. Pesterev, I. Matrosov, Yury V. Morozov","doi":"10.1109/STAB49150.2020.9140483","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140483","url":null,"abstract":"A method for stabilizing constrained mechanical systems that is based on the so-called constraint stabilization technique is proposed. It extends the approach that was earlier employed for numerical integration of equations governing motion of passive constrained mechanical systems to the case of controlled systems. In the framework of the suggested approach, control goals are treated as additional constraints, and the controls themselves, as constraint reactions. The application of the method to the problem of stabilizing a wheel rolling along a curvilinear profile is considered.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"16 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":"127178812","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":"Adaptive optimal robust tracking of discrete-time minimum-phase plant under biased disturbance","authors":"V. Sokolov","doi":"10.1109/STAB49150.2020.9140470","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140470","url":null,"abstract":"This paper addresses a problem of adaptive optimal robust tracking of discrete-time minimum-phase SISO plant under biased total disturbance in the form of output uncertainty and bounded external disturbance. Coefficients of nominal model, a gain of output uncertainty, an upper bound of external disturbance, and bias are unknown to controller designer. The control criterion in the form of the worst-case steady-state tracking error over permitted uncertainties and disturbances is used as an identification criterion. Solution of the problem is based on polyhedral estimation of data-consistent parameters and computation of optimal current estimates.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"8 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":"131768974","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 works of M. P. Kharlamov on the phase topology of the Kowalevski top in two constant fields","authors":"P. Ryabov","doi":"10.1109/STAB49150.2020.9140571","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140571","url":null,"abstract":"The report presents a retrospective analysis of the works of M.P. Kharlamov on the study of the phase topology of the Kowalevski top in a double field of forces (the case of integrability of A.G. Reiman–M.A. Semenov-Tyan-Shansky without a gyrostatic moment). We will review the method of critical subsystems for the generalized two fields gyrostat, which includes the Kowalevski top in two constant fields.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"13 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":"131799142","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":"Optimality Conditions for Impulsive Processes with Intermediate State Constraints","authors":"O. Samsonyuk, S. Sorokin","doi":"10.1109/STAB49150.2020.9140658","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140658","url":null,"abstract":"This paper is concerned with an optimal impulsive control problem under intermediate state constraints. The control system of this problem is bilinear with respect to states of bounded variation and impulsive controls given by vector Borel measures. We propose necessary and sufficient optimality conditions based on special functions of the Lyapunov type. These functions possess the property of strong and weak monotonicity with respect to the impulsive control system.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"169 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":"134194244","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":"Synthesis of a robust control system for an unstable plant using QFT","authors":"Y. Mitrishkin, S. Ivanova","doi":"10.1109/STAB49150.2020.9140454","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140454","url":null,"abstract":"The paper aims to synthesize by Quantitative Feedback Theory (QFT) a robust controller represented as a transfer function containing two left zeros and two left poles to stabilize a model of a plasma unstable vertical position in the T-15MD tokamak (Kurchatov Institute, Moscow, Russia). Due to the relatively large overshoot and oscillations of a transient response, the two-cascade robust control system of the plasma position with PID controllers was designed by the QFT. An inner cascade controls a current in a horizontal field coil and an outer cascade stabilizes the plasma vertical position. An actuator is a model of a 6-pulse multiphase thyristor rectifier.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"42 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":"134321002","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}