Pub Date : 2020-06-01DOI: 10.1109/STAB49150.2020.9140464
L. Rapoport, T. Tormagov
The use of semidefinite relaxation in the problem of the sign-definiteness of a quadratic form under quadratic constraints allows one to obtain new sufficient conditions for the solvability of a linear matrix inequality (LMI) under quadratic constraints in the case when the S-procedure does not give an answer. Results are illustrated by an example.
{"title":"On the Solvability of Linear Matrix Inequalities under Quadratic Constraints","authors":"L. Rapoport, T. Tormagov","doi":"10.1109/STAB49150.2020.9140464","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140464","url":null,"abstract":"The use of semidefinite relaxation in the problem of the sign-definiteness of a quadratic form under quadratic constraints allows one to obtain new sufficient conditions for the solvability of a linear matrix inequality (LMI) under quadratic constraints in the case when the S-procedure does not give an answer. Results are illustrated by an example.","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":"131339707","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/STAB49150.2020.9140593
Olga Tkacheva, M. Vinogradova, A. Utkin
In the framework of the general problem of diagnosing pacemakers, the problem of estimating the propagation velocity of a transmembrane potential from its measurements is considered. Based on the mathematical model of a pacemaker, which is represented by a two-dimensional non-linear dynamic Van der Pol-Duffing system, methods for the synthesis of state observers of low and full order with non-linear and linear corrective actions are developed. The results of a comparative analysis of the quality of transmembrane potential velocity estimation using various observers and differentiating filter are presented. The comparison results are based on numerical modeling in MATLAB SIMULINK.
在诊断心脏起搏器的一般问题的框架内，考虑了从测量结果估计跨膜电位传播速度的问题。基于以二维非线性动态Van der Pol-Duffing系统为代表的起搏器数学模型，提出了具有非线性和线性校正作用的低阶和全阶状态观测器的综合方法。对不同观测器和微分滤波器的跨膜电位估计质量进行了比较分析。对比结果基于MATLAB SIMULINK的数值模拟。
{"title":"The comparison of approaches to estimating speed from position measurements in Van Der Pol-Duffing system","authors":"Olga Tkacheva, M. Vinogradova, A. Utkin","doi":"10.1109/STAB49150.2020.9140593","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140593","url":null,"abstract":"In the framework of the general problem of diagnosing pacemakers, the problem of estimating the propagation velocity of a transmembrane potential from its measurements is considered. Based on the mathematical model of a pacemaker, which is represented by a two-dimensional non-linear dynamic Van der Pol-Duffing system, methods for the synthesis of state observers of low and full order with non-linear and linear corrective actions are developed. The results of a comparative analysis of the quality of transmembrane potential velocity estimation using various observers and differentiating filter are presented. The comparison results are based on numerical modeling in MATLAB SIMULINK.","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":"131346717","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/STAB49150.2020.9140672
V. Smirnova, A. Proskurnikov, E. E. Pak, R. V. Titov
This paper is concerned with stability properties of a Lur’e system obtained by interconnection of a general linear time-invariant block (possibly, infinite-dimensional) and a periodic nonlinearity. Such systems usually have multiple equilibria. In the paper, two new frequency-algebraic stability criteria are established by using. Popov’s method of "a priori integral indices", Leonov’s method of nonlocal reduction and the Bakaev-Guzh technique.
{"title":"New criteria for gradient–like behavior of synchronization systems with distributed parameters","authors":"V. Smirnova, A. Proskurnikov, E. E. Pak, R. V. Titov","doi":"10.1109/STAB49150.2020.9140672","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140672","url":null,"abstract":"This paper is concerned with stability properties of a Lur’e system obtained by interconnection of a general linear time-invariant block (possibly, infinite-dimensional) and a periodic nonlinearity. Such systems usually have multiple equilibria. In the paper, two new frequency-algebraic stability criteria are established by using. Popov’s method of \"a priori integral indices\", Leonov’s method of nonlocal reduction and the Bakaev-Guzh technique.","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":"116534045","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/STAB49150.2020.9140453
A. Kustov, A. Yurchenkov
In this paper, the anisotropy-based filtering problem is studied for a class of linear discrete time varying finite horizon systems with measurement data packet dropout. The measurement packet dropout phenomenon is considered to be random, and is modeled as binary switching sequence of independent identically distributed scalar random variables. The estimator is designed to satisfy the upper bound constraint on the anisotropic norm chosen to quantitatively describe the performance index of the input-to-error system over the finite horizon. Given the measurements and estimates of the system outputs, the filter parameters are parameterized by means of the solution to a set of discrete linear (with a minor exception of one) matrix inequalities.
{"title":"Anisotropic Estimator Design for Time Varying System with Measurement Dropouts","authors":"A. Kustov, A. Yurchenkov","doi":"10.1109/STAB49150.2020.9140453","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140453","url":null,"abstract":"In this paper, the anisotropy-based filtering problem is studied for a class of linear discrete time varying finite horizon systems with measurement data packet dropout. The measurement packet dropout phenomenon is considered to be random, and is modeled as binary switching sequence of independent identically distributed scalar random variables. The estimator is designed to satisfy the upper bound constraint on the anisotropic norm chosen to quantitatively describe the performance index of the input-to-error system over the finite horizon. Given the measurements and estimates of the system outputs, the filter parameters are parameterized by means of the solution to a set of discrete linear (with a minor exception of one) matrix inequalities.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"43 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":"124041480","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/STAB49150.2020.9140514
I. Barabanov, V. Tkhai
We consider a nonlinear autonomous coupled system of a general type in the vicinity of equilibrium. It is assumed that the linear approximation matrix has a pair of purely imaginary eigenvalues; other eigenvalues are not multiples of the specified ones and are different from zero. We study the oscillations under the action of a periodic controls with a small regulator gain. The existence of a resonant oscillation of the controlled system is established, the oscillation amplitudes are estimated in terms of the value of regulator gain, the stability of the oscillation is analyzed. Previously, the result was known for the Lyapunov system.
{"title":"Resonant Oscillations of the Coupled Controlled System Near Equilibrium","authors":"I. Barabanov, V. Tkhai","doi":"10.1109/STAB49150.2020.9140514","DOIUrl":"https://doi.org/10.1109/STAB49150.2020.9140514","url":null,"abstract":"We consider a nonlinear autonomous coupled system of a general type in the vicinity of equilibrium. It is assumed that the linear approximation matrix has a pair of purely imaginary eigenvalues; other eigenvalues are not multiples of the specified ones and are different from zero. We study the oscillations under the action of a periodic controls with a small regulator gain. The existence of a resonant oscillation of the controlled system is established, the oscillation amplitudes are estimated in terms of the value of regulator gain, the stability of the oscillation is analyzed. Previously, the result was known for the Lyapunov system.","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":"128672249","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/stab49150.2020.9140647
{"title":"STAB 2020 Cover Page","authors":"","doi":"10.1109/stab49150.2020.9140647","DOIUrl":"https://doi.org/10.1109/stab49150.2020.9140647","url":null,"abstract":"","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"468 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":"124381249","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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