{"title":"Switched linear system stabilization under parametric uncertainty","authors":"A. Fursov, Yu. M. Mosolova","doi":"10.1109/STAB49150.2020.9140499","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140499","url":null,"abstract":"We propose an algorithm for the synthesis of a digital stabilizer for a switched interval system. The stabilization algorithm includes the following steps: constructing a continuous-time/discrete-time closed-loop system with a digital controller; passing to its discrete-time model; designing of a simultaneously stabilizing controller for the finite family of interval discrete-time systems.","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":"121285365","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":"Stability Analysis for Nonlinear Mechanical Systems with Non-stationary Potential Forces","authors":"A. Platonov","doi":"10.1109/STAB49150.2020.9140552","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140552","url":null,"abstract":"In the paper, the stability problem for mechanical systems under the influence of nonlinear dissipative, gyroscopic and potential forces is investigated. It is assumed that there is a non-stationary piecewise monotone coefficient at potential forces. Both single and multiple Lyapunov functions are used for the analysis. Considered approach allows to generalize the known results obtained earlier for such classes of systems.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"155 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":"116408301","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":"Observer Based Decentralized Control for Interconnected Systems with Uncertain Disturbances","authors":"A. Malikov","doi":"10.1109/STAB49150.2020.9140656","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140656","url":null,"abstract":"Method for observer based decentralized control design is proposed which provide the finite time boundedness of the original system and estimation error with respect to given sets of initial states and admissible trajectories for time-varying continuous interconnected systems. It is based on the numerical solution of optimization problems with differential linear matrix inequalities. The results are illustrated by two coupled inverted pendulums.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"51 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":"126915975","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":"One approximation in the optimal stabilization problem for the system of periodic delayed differential equations","authors":"R. I. Shevchenko","doi":"10.1109/STAB49150.2020.9140603","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140603","url":null,"abstract":"We consider the optimal stabilization problem for a system of differential equations with periodic coefficients and delay. New approximation scheme is proposed to replace the initial infinite-dimensional problem with the finite-dimensional problem. Within the special set of admissible controls the approximating continuous optimal stabilization problem is reduced to the equivalent discrete optimal stabilization problem. Formulas for the optimal control law are obtained.","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":"126459660","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 Condition of Complete Controllability of Stage-by-Stage Changing Linear Dynamic Systems with Varying Dimension of the Control Vector","authors":"V. Barseghyan","doi":"10.1109/STAB49150.2020.9140703","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140703","url":null,"abstract":"The control problem of stage-by-stage changing linear dynamic systems with varying dimension of the control vector is considered. A necessary and sufficient condition for complete controllability of the stage-by-stage changing linear non-stationary systems with varying dimension of the control vector is obtained; when the condition is satisfied the system can be transferred from any given initial state specified at the first stage to any final state specified for the last stage with the corresponding control actions. The condition of complete controllability for a stage-by-stage changing linear stationary system is expressed directly through the initial parameters of the system and is comparable with the well-known Kalman condition for the ordinary systems. The qualitative properties of controllability of such systems are revealed.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"112 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":"123527505","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":"Modeling and Optimization for Oriented Growing Solids","authors":"S. Lychev, K. Koifman, Anton Petrenko, D. Bout","doi":"10.1109/STAB49150.2020.9140700","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140700","url":null,"abstract":"In the present paper the model for growing oriented solid is developed. Such solids have no global stress-free shape in Euclidean physical space due to the distributed defects, \"recorded\" into the solid during growing process. Nonetheless, in the framework of geometric approach in continuum mechanics the desired stress-free reference shape can be found in non-Euclidean space with specific (material) connection. For oriented solids, whose particles have to be identified with positions and orientations, such space can be represented by a submanifold in total space of principal bundle, defined over basic (conventional) material manifold. In such a case the deformation of growing solid can be generalized as smooth embedding from such space to total space of physical principal bundle. Invariants of connection on material principal bundle characterize the incompatibility of local deformations and can serve as cost functions in optimization problems.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"118 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":"131541860","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 influence of the average frequency of oscillations of the Earth’s pole on the accuracy of predicting its position","authors":"V. Perepelkin, D. Rumyantsev","doi":"10.1109/STAB49150.2020.9140555","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140555","url":null,"abstract":"A method is proposed for determining the time interval at which a significant change in the ratio of the amplitudes of the Chandler and annual components of the Earth’s pole motion (the point of intersection of the instantaneous Earth’s rotation axis with the Earth’s surface) occurs. So for several decades one model or a family of forecasting models can work successfully, but when the amplitude ratio changes, they become inapplicable and other models should be taken that are more consistent to the new movement. The result is used to refine the model of the Earth’s rotation and to select a strategy for predicting the pole position, whose oscillation due to the atmosphere and the ocean circulation is non-linear.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"5 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":"130878476","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":"Time-optimal movement of an elliptical pendulum","authors":"O. Kayumov","doi":"10.1109/STAB49150.2020.9140628","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140628","url":null,"abstract":"The problem of the optimal speed of horizontal movement of the pendulum on the trolley (at the required distance from the lower state of equilibrium to a similar one) under the action of one limited control force applied to the trolley is solved. For different mass ratios, trajectories that satisfy the necessary optimality conditions, are constructed numerically.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"36 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":"129415552","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 attitude control of an electrodynamic tether system interacting with near-Earth plasma","authors":"A. Tikhonov, A. B. Yakovlev","doi":"10.1109/STAB49150.2020.9140674","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140674","url":null,"abstract":"The problem of attitude stabilization of the space electrodynamic tether system (EDTS) in a local vertical position is considered. EDTS includes a negatively charged collector at the lower end of the tether and a positively charged collector at the upper end. The magnitude of the negative charge is controllable. The interaction of charged collectors with near-Earth plasma is analyzed.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"1 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":"129360538","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":"Local Solvability of Control Systems with Implicit Dynamics","authors":"A. Arutyunov, Z. Zhukovskaya, S. Zhukovskiy","doi":"10.1109/STAB49150.2020.9140537","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140537","url":null,"abstract":"Control systems with implicit set-valued dynamics, mixed constraints and geometric constraints on the control are considered. Sufficient conditions for local and global solvability of these systems are obtained. The question on existence of continuous admissible controls is studied.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"50 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":"126824734","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}