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2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)最新文献

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Self-boundedness and self-hiddenness for implicit two-dimensional systems 隐式二维系统的自有界性和自隐藏性
2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS) Pub Date : 2015-11-23 DOI: 10.1109/NDS.2015.7332638
L. Ntogramatzidis
{"title":"Self-boundedness and self-hiddenness for implicit two-dimensional systems","authors":"L. Ntogramatzidis","doi":"10.1109/NDS.2015.7332638","DOIUrl":"https://doi.org/10.1109/NDS.2015.7332638","url":null,"abstract":"In this paper we introduce and develop the concepts of self-boundedness and self-hiddenness for implicit two-dimensional systems. The aim of this note is to show that when extending such concepts to a multidimensional setting, a richer structure arises than in the one-dimensional case.","PeriodicalId":284922,"journal":{"name":"2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130327968","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}
引用次数: 0
Guaranteed cost iterative learning control — An application to control of Permanent Magnet Synchronous Motors 保证成本迭代学习控制——在永磁同步电机控制中的应用
2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS) Pub Date : 2015-11-23 DOI: 10.1109/NDS.2015.7332639
S. Mandra, K. Gałkowski, H. Aschemann, A. Rauh
{"title":"Guaranteed cost iterative learning control — An application to control of Permanent Magnet Synchronous Motors","authors":"S. Mandra, K. Gałkowski, H. Aschemann, A. Rauh","doi":"10.1109/NDS.2015.7332639","DOIUrl":"https://doi.org/10.1109/NDS.2015.7332639","url":null,"abstract":"This paper addresses the design of iterative learning control laws (ILC) for both trial-to-trial error convergence and along-the-trial performance. It is shown how these control laws can be designed using the theory of discrete linear repetitive processes in combination with a guaranteed cost control approach. The parameterization of the controllers is performed by the solution of linear matrix inequalities (LMIs). The paper is concluded with experimental results for the position control of a Permanent Magnet Synchronous Motor (PMSM).","PeriodicalId":284922,"journal":{"name":"2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134350855","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}
引用次数: 10
Computer algebra methods for testing the structural stability of multidimensional systems 测试多维系统结构稳定性的计算机代数方法
2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS) Pub Date : 2015-11-23 DOI: 10.1109/NDS.2015.7332633
Yacine Bouzidi, A. Quadrat, F. Rouillier
{"title":"Computer algebra methods for testing the structural stability of multidimensional systems","authors":"Yacine Bouzidi, A. Quadrat, F. Rouillier","doi":"10.1109/NDS.2015.7332633","DOIUrl":"https://doi.org/10.1109/NDS.2015.7332633","url":null,"abstract":"In this paper, we present new computer algebra based methods for testing the structural stability of n-D discrete linear systems (with n ≥ 2). More precisely, starting from the usual stability conditions which resumes to deciding if an hypersurface has points in the unit polydisk, we show that the problem is equivalent to deciding if an algebraic set has real points and use state-of-the-art algorithms for this purpose. Our strategy has been implemented in Maple and its relevance demonstrated through numerous experimentations.","PeriodicalId":284922,"journal":{"name":"2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114240464","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}
引用次数: 25
Newton's method for modularity-preserving multidimensional wave digital filters 保模多维波数字滤波器的牛顿方法
2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS) Pub Date : 2015-09-01 DOI: 10.1109/NDS.2015.7332656
Tim Schwerdtfeger, A. Kummert
{"title":"Newton's method for modularity-preserving multidimensional wave digital filters","authors":"Tim Schwerdtfeger, A. Kummert","doi":"10.1109/NDS.2015.7332656","DOIUrl":"https://doi.org/10.1109/NDS.2015.7332656","url":null,"abstract":"Wave Digital Filter (WDF) theory provides an immediate method to derive robust, stable and real-time capable discretizations of one- or multidimensional prototype networks. However, there are realization constraints for certain types of structures, e.g. the presence of multiple nonlinearities, which result in non-computable implicit relations. A common approach to circumvent this restriction is wave-based modeling with state-space-like structures, where implicit equations are solved iteratively by Newton's method or similar approaches. Unfortunately, these concepts generally give up the modular structure of the WDF, thus the reusability, extendability and topology of the prototype network. In this paper, two multidimensional iteration methods based on Newton's method are proposed that are strictly modular and fit well into the modular concept of WDFs.","PeriodicalId":284922,"journal":{"name":"2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127378132","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}
引用次数: 14
An unconditionally stable finite difference scheme systems described by second order partial differential equations 一类由二阶偏微分方程描述的无条件稳定有限差分格式系统
2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS) Pub Date : 2015-09-01 DOI: 10.1109/NDS.2015.7332655
P. Augusta, B. Cichy, K. Gałkowski, E. Rogers
{"title":"An unconditionally stable finite difference scheme systems described by second order partial differential equations","authors":"P. Augusta, B. Cichy, K. Gałkowski, E. Rogers","doi":"10.1109/NDS.2015.7332655","DOIUrl":"https://doi.org/10.1109/NDS.2015.7332655","url":null,"abstract":"An unconditionally stable finite difference scheme for systems whose dynamics are described by a second-order partial differential equation is developed. The scheme is motivated by the well-known Crank-Nicolson discretization which was developed for first-order systems. The stability of the finite-difference scheme is analysed by von Neumann's method. Using the new scheme, a discrete in time and space model of a deformable mirror is derived as the basis for control law design. The convergence of this scheme for various values of the discretization parameters is checked by numerical simulations.","PeriodicalId":284922,"journal":{"name":"2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)","volume":"137 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121404215","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}
引用次数: 9
Application specific stability of 3-D Roesser-like model realizations 三维类罗塞模型实现的特定应用稳定性
2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS) Pub Date : 2015-09-01 DOI: 10.1109/NDS.2015.7332651
J. Velten, A. Kummert, Alexandros Gavriilidis, K. Gałkowski
{"title":"Application specific stability of 3-D Roesser-like model realizations","authors":"J. Velten, A. Kummert, Alexandros Gavriilidis, K. Gałkowski","doi":"10.1109/NDS.2015.7332651","DOIUrl":"https://doi.org/10.1109/NDS.2015.7332651","url":null,"abstract":"Stability of multidimensional (k-D) systems is still a challenging field of work. Well known and established stability measures may lead to complex mathematical problems, while simple tests are restricted to special cases of n-D systems. A new stability test for certain discrete 3-D system realizations given in a Roesser-like model description is proposed. This test is suitable for signals bounded with respect to all three coordinate directions, like spatio temporal video image signals. The 3-D system is observed in real operation, i.e. considering a sequence of processing, which leads to a 1-D state space description, allowing for application of a 1-D stability test. Since application of 1-D stability tests to higher dimensional problems is not a completely new approach, main contribution of this paper is the regular and well structured decomposition of a discrete 3-D system description into a classical 1-D state space description.","PeriodicalId":284922,"journal":{"name":"2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128514226","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}
引用次数: 1
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