Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140696
T. Lycheva, S. Lychev
While solving contact problems for "soft" materials, it is necessary to take into account non-linear effects related to changing the shape and texture of contact bodies. The work develops numerical and analytical methods of modelling similar non-linear problems and optimization of shape and texture of contact surfaces.
{"title":"Modeling and Optimization of the Shape of Contacting Solids at Finite Deformations","authors":"T. Lycheva, S. Lychev","doi":"10.1109/STAB49150.2020.9140696","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140696","url":null,"abstract":"While solving contact problems for \"soft\" materials, it is necessary to take into account non-linear effects related to changing the shape and texture of contact bodies. The work develops numerical and analytical methods of modelling similar non-linear problems and optimization of shape and texture of contact surfaces.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"31 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":"130637427","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/STAB49150.2020.9140568
Y. Kokunko, S. Krasnova, S. Pivneva
For an unmanned aerial vehicle under the influence of external uncontrolled disturbances, the problem of synthesis the control law in the form of dynamic feedback which ensures the movement of the center of mass along a given spatial trajectory is considered. Within the framework of the block approach, a hierarchical procedure for the synthesis of S-shaped sigmoidal feedbacks has been developed that ensures ε-invariance of tracking errors to external disturbances, taking into account design restrictions on speed and overload. A lower-order observer is constructed for estimating derivative tracking errors from measurements of tracking errors. The results of numerical modeling of the developed algorithms are presented.
{"title":"Feedback Synthesis for UAVs Based on the Control Hierarchy Method","authors":"Y. Kokunko, S. Krasnova, S. Pivneva","doi":"10.1109/STAB49150.2020.9140568","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140568","url":null,"abstract":"For an unmanned aerial vehicle under the influence of external uncontrolled disturbances, the problem of synthesis the control law in the form of dynamic feedback which ensures the movement of the center of mass along a given spatial trajectory is considered. Within the framework of the block approach, a hierarchical procedure for the synthesis of S-shaped sigmoidal feedbacks has been developed that ensures ε-invariance of tracking errors to external disturbances, taking into account design restrictions on speed and overload. A lower-order observer is constructed for estimating derivative tracking errors from measurements of tracking errors. The results of numerical modeling of the developed algorithms are presented.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"29 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":"132467314","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/STAB49150.2020.9140572
V. Kamenetskiy
Systems with switching between four linear autonomous discrete subsystems are considered. Two new sufficient conditions for the stability of such systems are obtained. An example is given on which the conditions obtained are compared with previously known ones. The obtained conditions are generalized to the case of systems with switching between a larger number of linear subsystems.
{"title":"Stability Conditions for Systems with Switching Between Four Linear Discrete Subsystems","authors":"V. Kamenetskiy","doi":"10.1109/STAB49150.2020.9140572","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140572","url":null,"abstract":"Systems with switching between four linear autonomous discrete subsystems are considered. Two new sufficient conditions for the stability of such systems are obtained. An example is given on which the conditions obtained are compared with previously known ones. The obtained conditions are generalized to the case of systems with switching between a larger number of linear subsystems.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"21 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":"126775041","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/STAB49150.2020.9140589
I. Ananievski
The law of a bounded control is constructed, which allows to bring a platform with elastic elements to a given state of rest under incomplete information about the phase state of the system and in the presence of external disturbances.
{"title":"Controlled Motion of a Platform with Elastic Elements","authors":"I. Ananievski","doi":"10.1109/STAB49150.2020.9140589","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140589","url":null,"abstract":"The law of a bounded control is constructed, which allows to bring a platform with elastic elements to a given state of rest under incomplete information about the phase state of the system and in the presence of external disturbances.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"70 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":"123365880","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/STAB49150.2020.9140666
G. Kostin
Plane rotations of an elastic link, which is controlled by an electric driver at one end and loaded by a point mass at the other, are studied. An optimal control problem is considered to turn the link into the desired state with damping elastic vibrations by the voltage supplied to the motor winding. According to the method of integro-differential relations, a generalized statement of the control problem is given for the dynamical system with distributed and lumped parameters, and consistent approximations for unknown lateral displacements, momentum density, and bending moment are proposed. The procedure minimizing the cost function and regularizing the numerical error is discussed.
{"title":"Analysis and Optimization of Rotation of an Elastic Loaded Link with an Electric Drive","authors":"G. Kostin","doi":"10.1109/STAB49150.2020.9140666","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140666","url":null,"abstract":"Plane rotations of an elastic link, which is controlled by an electric driver at one end and loaded by a point mass at the other, are studied. An optimal control problem is considered to turn the link into the desired state with damping elastic vibrations by the voltage supplied to the motor winding. According to the method of integro-differential relations, a generalized statement of the control problem is given for the dynamical system with distributed and lumped parameters, and consistent approximations for unknown lateral displacements, momentum density, and bending moment are proposed. The procedure minimizing the cost function and regularizing the numerical error is discussed.","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":"121981395","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/stab49150.2020.9140520
{"title":"STAB 2020 Copyright Page","authors":"","doi":"10.1109/stab49150.2020.9140520","DOIUrl":"https://doi.org/10.1109/stab49150.2020.9140520","url":null,"abstract":"","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"445 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":"122806993","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/STAB49150.2020.9140458
T. Filippova
The control and estimation problems for a nonlinear control system with uncertainty in initial states and in the matrix of linear members of the state velocities of a dynamic system are considered. It is assumed that the values of the uncertain initial states and admissible controls are constrained by related ellipsoids. Based on the application of the results and methods of the theory of ellipsoidal estimation for set-valued motions of a system of this type, the problems of guaranteed control of a tube of trajectories of a nonlinear dynamic system with uncertainty are studied.
{"title":"Control of a Bilinear System in Conditions of Uncertainty","authors":"T. Filippova","doi":"10.1109/STAB49150.2020.9140458","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140458","url":null,"abstract":"The control and estimation problems for a nonlinear control system with uncertainty in initial states and in the matrix of linear members of the state velocities of a dynamic system are considered. It is assumed that the values of the uncertain initial states and admissible controls are constrained by related ellipsoids. Based on the application of the results and methods of the theory of ellipsoidal estimation for set-valued motions of a system of this type, the problems of guaranteed control of a tube of trajectories of a nonlinear dynamic system with uncertainty are studied.","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":"125893334","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/STAB49150.2020.9140659
B. Ananyev
Multistage stochastic inclusions are considered in the product of two at most denumerable phase spaces. The state projection to one of them is considered observable, and to another is not observable. The right part of the inclusion is a multimapping depending on the previous state and a random element of some probability space. Random transition on each step does not depend from previous steps. Three ways of estimation of not observed states are considered which are based on different types of forming of the set of transitional probabilities. It is shown that these ways, generally speaking, lead to various sets of conditional distributions for not observed states of the process. In the case of non-atomic probability spaces the theorem of sufficiency for coincidence of the considered schemes of filtration is proved.
{"title":"Estimation of Stochastic Multistage Inclusions in Denumerable Sets","authors":"B. Ananyev","doi":"10.1109/STAB49150.2020.9140659","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140659","url":null,"abstract":"Multistage stochastic inclusions are considered in the product of two at most denumerable phase spaces. The state projection to one of them is considered observable, and to another is not observable. The right part of the inclusion is a multimapping depending on the previous state and a random element of some probability space. Random transition on each step does not depend from previous steps. Three ways of estimation of not observed states are considered which are based on different types of forming of the set of transitional probabilities. It is shown that these ways, generally speaking, lead to various sets of conditional distributions for not observed states of the process. In the case of non-atomic probability spaces the theorem of sufficiency for coincidence of the considered schemes of filtration is proved.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"9 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":"129028723","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/STAB49150.2020.9140561
V. Korneev, S. Udin
The problem of protection of an object on a movable base from transient shock disturbances by means of an active shock isolator is considered. The maximal displacement of the object relative to the base is taken as the performance index to be minimized. Proceeding from the anticipating optimal control constructed for the instantaneous impact, a guaranteeing control with optimization of the starting instant is designed for a class of external disturbances. The control optimized with respect to the starting instant is compared in terms of the performance index with other control strategies.
{"title":"Control of Anticipation and Delay in the Problem of Shock Isolation of an Object on a Movable Base","authors":"V. Korneev, S. Udin","doi":"10.1109/STAB49150.2020.9140561","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140561","url":null,"abstract":"The problem of protection of an object on a movable base from transient shock disturbances by means of an active shock isolator is considered. The maximal displacement of the object relative to the base is taken as the performance index to be minimized. Proceeding from the anticipating optimal control constructed for the instantaneous impact, a guaranteeing control with optimization of the starting instant is designed for a class of external disturbances. The control optimized with respect to the starting instant is compared in terms of the performance index with other control strategies.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"45 9-10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134363642","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/STAB49150.2020.9140709
O. Kholostova
The motion of a near-autonomous, time-periodic two-degree-of-freedom Hamiltonian system in the vicinity of the trivial equilibrium is considered. Nonlinear oscillations of the system in two cases of multiple parametric resonances are studied.
{"title":"Investigation of nonlinear oscillations of near-autonomous Hamiltonian systems in the cases of multiple parametric resonances","authors":"O. Kholostova","doi":"10.1109/STAB49150.2020.9140709","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140709","url":null,"abstract":"The motion of a near-autonomous, time-periodic two-degree-of-freedom Hamiltonian system in the vicinity of the trivial equilibrium is considered. Nonlinear oscillations of the system in two cases of multiple parametric resonances are studied.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"48 23","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131609928","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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