Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140679
D. Rumyantsev, K. Tsarkov
Here we study a number of examples, which establish the fact that well-known certainty equivalence property is not hold for a generalization of LQ decentralized control problem – information constrained problem – even when certainty equivalence principle gives a critical point in the problem, and the admissible control set contains linear controllers only.
{"title":"On Certainty Equivalence Property in Deterministic LQ-problems with Random Initial Data and Information Constraints","authors":"D. Rumyantsev, K. Tsarkov","doi":"10.1109/STAB49150.2020.9140679","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140679","url":null,"abstract":"Here we study a number of examples, which establish the fact that well-known certainty equivalence property is not hold for a generalization of LQ decentralized control problem – information constrained problem – even when certainty equivalence principle gives a critical point in the problem, and the admissible control set contains linear controllers only.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"53 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":"130228695","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}
Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140529
D. Krasnov
For nonlinear single-channel systems with unmatched disturbances that can be represented in a triangular "input – output" form, a decomposition procedure for the synthesis of dynamic feedback is developed within the framework of the block approach. The procedure involves the synthesis of discontinuous control, providing tracking of the output variable of the command signal under the assumption of the smoothness of external influences; synthesis of a lower-order high-gain observer, which, based on measurements of the tracking error, estimates a mixed variable by which feedback is formed.
{"title":"Dynamic Feedback Synthesis in Tracking Single-Channel Systems under the Influence of Uncontrolled Disturbances","authors":"D. Krasnov","doi":"10.1109/STAB49150.2020.9140529","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140529","url":null,"abstract":"For nonlinear single-channel systems with unmatched disturbances that can be represented in a triangular \"input – output\" form, a decomposition procedure for the synthesis of dynamic feedback is developed within the framework of the block approach. The procedure involves the synthesis of discontinuous control, providing tracking of the output variable of the command signal under the assumption of the smoothness of external influences; synthesis of a lower-order high-gain observer, which, based on measurements of the tracking error, estimates a mixed variable by which feedback is formed.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"11 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":"130373444","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}
Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140618
A. V. Rodnikov
Motions of a spacecraft equipped with a solar sail and tethered to a heliocentric station is considered. The problems of the spacecraft motion along plane sections of a sphere, restricting its motion with respect to the station, are studied as analogs of perturbed librations of a spherical pendulum or as some generalizations of them.
{"title":"Pendulum Motions of a Spacecraft Equipped with a Solar Sail and Tethered to a Heliocentric Space Station","authors":"A. V. Rodnikov","doi":"10.1109/STAB49150.2020.9140618","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140618","url":null,"abstract":"Motions of a spacecraft equipped with a solar sail and tethered to a heliocentric station is considered. The problems of the spacecraft motion along plane sections of a sphere, restricting its motion with respect to the station, are studied as analogs of perturbed librations of a spherical pendulum or as some generalizations of them.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"44 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":"117003294","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}
Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140581
A. Galyaev, P. Lysenko
The work is devoted to the study of the phenomenon of synchronization of a large number of weakly coupled oscillators in the presence of dissipative bonds. These bonds are included in the system dynamics equations in the form of diffusion matrices, providing asymptotically stable oscillation of the oscillator ensemble as a whole. Three types of interaction known as "identical all-to-all", "nearest neighbors" and "nearest neighbors in a circle" are considered as examples.
{"title":"About Synchronization Problem of Group of Weakly Coupled Identical Oscillators","authors":"A. Galyaev, P. Lysenko","doi":"10.1109/STAB49150.2020.9140581","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140581","url":null,"abstract":"The work is devoted to the study of the phenomenon of synchronization of a large number of weakly coupled oscillators in the presence of dissipative bonds. These bonds are included in the system dynamics equations in the form of diffusion matrices, providing asymptotically stable oscillation of the oscillator ensemble as a whole. Three types of interaction known as \"identical all-to-all\", \"nearest neighbors\" and \"nearest neighbors in a circle\" are considered as examples.","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":"131219775","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}
Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140704
N. Sedova, O. Druzhinina
The possibility is studied of reducing the stabilization problem for delay differential nonlinear system to optimization problems with known numerical procedures for solving. Assuming a triangular structure of the system, algorithms are proposed for constructing a stabilizing control. The description of the subsystems in the form of Takagi–Sugeno models is used. Given the state and control constraints, as well as the properties of weight functions, the stabilization problem is reduced to some optimization problems, including LMIs. The obtained controls retain stabilizing properties for non-stationary weight functions, as well as for perturbed systems. Chances of numerical implementation of algorithms based on standard procedures of computational software are considered.
{"title":"Stabilization of Constrained Nonlinear Triangular Delay Systems Using Convex Optimization","authors":"N. Sedova, O. Druzhinina","doi":"10.1109/STAB49150.2020.9140704","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140704","url":null,"abstract":"The possibility is studied of reducing the stabilization problem for delay differential nonlinear system to optimization problems with known numerical procedures for solving. Assuming a triangular structure of the system, algorithms are proposed for constructing a stabilizing control. The description of the subsystems in the form of Takagi–Sugeno models is used. Given the state and control constraints, as well as the properties of weight functions, the stabilization problem is reduced to some optimization problems, including LMIs. The obtained controls retain stabilizing properties for non-stationary weight functions, as well as for perturbed systems. Chances of numerical implementation of algorithms based on standard procedures of computational software are considered.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"2 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":"131713872","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}
Pub Date : 2020-06-01DOI: 10.1109/stab49150.2020.9140523
Evgeniy Serafimovich Pyatnitskiy
By the end of 1980-ies Pyatnitskiy conceived an idea to gather scientists of all leading schools specialized in the stability theory. Pyatnitskiy proposed to organize a forum where scientists could present their new results, exchange ideas, discuss the future directions of the development of the stability theory. It was then that the Workshop ‘Stability and Oscillation of Nonlinear Control Systems’ was born. Now scientists who take part in the Workshop regularly call it just ‘Pyatnitskiy’s conference’.
{"title":"Pyatnitskiy’s Conference","authors":"Evgeniy Serafimovich Pyatnitskiy","doi":"10.1109/stab49150.2020.9140523","DOIUrl":"https://doi.org/10.1109/stab49150.2020.9140523","url":null,"abstract":"By the end of 1980-ies Pyatnitskiy conceived an idea to gather scientists of all leading schools specialized in the stability theory. Pyatnitskiy proposed to organize a forum where scientists could present their new results, exchange ideas, discuss the future directions of the development of the stability theory. It was then that the Workshop ‘Stability and Oscillation of Nonlinear Control Systems’ was born. Now scientists who take part in the Workshop regularly call it just ‘Pyatnitskiy’s conference’.","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":"123641849","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}
Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140605
V. Poliakov, V. Saurin
The paper discusses the problem of optimal design (stationary optimal control) for multi body dynamic system. The system includes a train and track superstructure interacting with a beam bridge. It is regarded that the speed of the train can reach 400 km/h. The problem of optimal stiffness distribution for continual subsystem – rail bed – is considered. The aim of the optimization is decreasing of irregularity of rail bed loading under constraint on minimal vertical wheel-rail contact force that prevents derailment.
{"title":"The stationary optimal control in combined discrete and continuous system","authors":"V. Poliakov, V. Saurin","doi":"10.1109/STAB49150.2020.9140605","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140605","url":null,"abstract":"The paper discusses the problem of optimal design (stationary optimal control) for multi body dynamic system. The system includes a train and track superstructure interacting with a beam bridge. It is regarded that the speed of the train can reach 400 km/h. The problem of optimal stiffness distribution for continual subsystem – rail bed – is considered. The aim of the optimization is decreasing of irregularity of rail bed loading under constraint on minimal vertical wheel-rail contact force that prevents derailment.","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":"124777421","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}
Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140586
N. Pavlova, Z. Zhukovskaya, S. Zhukovskiy
The existence of equilibrium price vector functions in continuous dynamic models of the market is studied. The sufficient conditions for the existence of the equilibrium in such models are obtained as corollaries of the existence theorems for coincidence points of covering and Lipschitz continuous mappings acting in metric spaces.
{"title":"Equilibrium in continuous dynamic market models","authors":"N. Pavlova, Z. Zhukovskaya, S. Zhukovskiy","doi":"10.1109/STAB49150.2020.9140586","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140586","url":null,"abstract":"The existence of equilibrium price vector functions in continuous dynamic models of the market is studied. The sufficient conditions for the existence of the equilibrium in such models are obtained as corollaries of the existence theorems for coincidence points of covering and Lipschitz continuous mappings acting in metric spaces.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"84 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":"123932351","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}
Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140670
D. Knyazkov, T. Figurina
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.
{"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}
Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140483
A. Pesterev, I. Matrosov, Yury V. Morozov
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.
{"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}
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