{"title":"Interconnection and composition of Dirac structures for Lagrange-Dirac systems","authors":"H. Jacobs, Hiroaki Yoshimura","doi":"10.1109/CDC.2011.6160480","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160480","url":null,"abstract":"There is much known on the port-Hamiltonian theory of interconnection of Dirac structures through shared variables. This interconnection is known as Composition of Dirac structures. In this paper, we will show an alternative interconnection of Dirac structures called Bowtie interconnection in the context of Lagrange-Dirac dynamical systems. In particular, we try to illustrate the following two things: Firstly, how composition of Dirac structures may be used in the Lagrangian theory of LC-circuits. Secondly, how composition of Dirac structures may be linked with bowtie interconnection.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124648991","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":"Closed form Navigation Functions based on harmonic potentials","authors":"S. Loizou","doi":"10.1109/CDC.2011.6161438","DOIUrl":"https://doi.org/10.1109/CDC.2011.6161438","url":null,"abstract":"This paper proposes a new class of smooth closed form Navigation Functions that are derived from harmonic functions. The resulting functions are by construction free of local minima. Utilizing the underlying structure of harmonic functions a tuning controller is proposed to establish the non-degeneracy of critical points. The construction of this new class of Navigation Functions was made possible due to the recently introduced Navigation Transformation. In addition to the theoretical guarantees, the effectiveness of the proposed Navigation Functions is demonstrated through non-trivial computer simulations with systems with first and second order dynamics in a non-trivial workspace.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"111 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124743198","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":"Power allocation policy for distributed estimation in wireless networks","authors":"I. Matei, J. Baras","doi":"10.1109/CDC.2011.6160910","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160910","url":null,"abstract":"We consider a sensor network monitoring a stochastic process. The sensors exchange information over wireless communication channels affected by noise. The goal of the sensors is to compute accurate estimates of the state of the stochastic process under limited energy available for communications. We introduce a distributed algorithm which computes a power allocation scheme aimed at ensuring accurate state estimates and at saving communication energy. The distributed algorithm arise from solving an approximate convex optimization problem with constraints. We present how the power allocation scheme can be used for performing distributed estimation in the case where measurements are shared between sensors.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130416790","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":"Comparison of various linear discriminant analysis techniques for fault diagnosis of Re-usable Launch Vehicle","authors":"Akilez Krishnamurthy A., M. Belur, D. Chakraborty","doi":"10.1109/CDC.2011.6161032","DOIUrl":"https://doi.org/10.1109/CDC.2011.6161032","url":null,"abstract":"In this paper, we use Linear Discriminant Analysis (LDA) techniques to diagnose Reaction Control System (RCS) thruster faults in a Re-usable Launch Vehicle (RLV) upon re-enrty. An RCS thruster operates in binary mode i.e. either ON or OFF. A mode is a particular combination of thruster ON/OFF values which is commanded by the controller. Different Linear Discriminant Analysis (LDA) techniques like CLDA (Classical LDA), FSLDA (Foley- Sammon LDA), ULDA (Uncorrelated LDA) are implemented in Matlab and used here to estimate the mode in which the vehicle lies based on the double derivative of pitch, roll and yaw angles. If the estimated mode is not same as the commanded mode then it implies a fault. Misclassification percentage of each of the LDA techniques with respect to percentage of training samples used, number of loading vectors, number of nearest modes and number of instances dropped after a mode change has occurred are evaluated and are compared to decide the one that suits the application. A thorough comparison of the three LDA techniques brings out a contrasting conclusion: unlike reported in LDA literature, CLDA performs better than FSLDA and ULDA for this RCS fault application, though FSLDA and ULDA are advanced variants of the CLDA.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126920578","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}
M. Corradini, A. Cristofaro, R. Giambò, S. Pettinari
{"title":"A Lyapunov-based diagnosis signal for fault detection robust tracking problem of a class of sampled-data systems","authors":"M. Corradini, A. Cristofaro, R. Giambò, S. Pettinari","doi":"10.1109/CDC.2011.6161285","DOIUrl":"https://doi.org/10.1109/CDC.2011.6161285","url":null,"abstract":"This paper addresses a novel Lyapunov-based diagnosis signal design for the Robust Fault Detection of a class of Sampled Data systems whose output vector has to follow an assigned reference. The only signal available for measurements is the output variable. A simulation study on a vehicle suspension system is also reported.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127040581","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}
A. Trofino, C. C. Scharlau, T. Dezuo, M. D. Oliveira
{"title":"Stabilizing switching rule design for affine switched systems","authors":"A. Trofino, C. C. Scharlau, T. Dezuo, M. D. Oliveira","doi":"10.1109/CDC.2011.6160249","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160249","url":null,"abstract":"We propose a method for designing switching rules that can drive the state of the switched dynamic system to a desired equilibrium point. The method deals with the class of switched systems where each sub-system has an affine vector field. The results are given in terms of linear matrix inequalities and they guarantee global asymptotic stability of the tracking error dynamics even if sliding motion occurs along a switching surface of the system. The switching rules are based on complete and partial state measurements. Two examples are used to illustrate the approach.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"1945 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129208443","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":"A new approach for planar tracking in a nongaussian setting","authors":"Francesco Conte, V. Cusimano, A. Germani","doi":"10.1109/CDC.2011.6161155","DOIUrl":"https://doi.org/10.1109/CDC.2011.6161155","url":null,"abstract":"This paper describes a new efficient approach to the conventional nonlinear tracking problem in a nongaussian setting that consists in the transformation of the nonlinear output measurement function in a linear form by the definition of a virtual measurement process. Such a procedure leads to the use of an efficient filter capable to take into account the nongaussanity of the transformed measurement noise process. This key feature is also exploited to consider and suitably manage a nongaussian and more realistic motion behaviour of the target object. Compared with the traditional approaches (e.g., extended Kalman filter (EKF) and unscented Kalman filter (UKF)) used in passive localization, the proposed method has potential advantages in robustness, convergence speed, and tracking accuracy.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130619587","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":"Optimal state estimation over gaussian channels with noiseless feedback","authors":"Dapeng Li, N. Hovakimyan","doi":"10.1109/CDC.2011.6161479","DOIUrl":"https://doi.org/10.1109/CDC.2011.6161479","url":null,"abstract":"This paper addresses an optimal state estimation problem in the presence of limited communication and noiseless feedback. In this setup, the state dynamics is estimated via an additive white Gaussian channel with input power constraint. We present a new communication and estimation strategy based on Kalman-Bucy filtering theory and water filling optimization algorithm. The optimality is established with respect to the minimal mean-square estimation error. As an example, we propose an analogue amplitude modulation scheme for state-estimation of a linear planar dynamics.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130635739","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":"A smooth vector field for saddle point problems","authors":"Hans-Bernd Dürr, C. Ebenbauer","doi":"10.1109/CDC.2011.6161102","DOIUrl":"https://doi.org/10.1109/CDC.2011.6161102","url":null,"abstract":"In this paper we propose a novel smooth vector field whose trajectories globally converge to the saddle point of the Lagrangian associated with a convex and constrained optimization problem. Under suitable assumptions, we prove global convergence of the trajectories for the class of strictly convex problems and we propose a vector field for linear programs.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123648517","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":"Network clustering: A dynamical systems and saddle-point perspective","authors":"Mathias Bürger, Daniel Zelazo, F. Allgöwer","doi":"10.1109/CDC.2011.6161045","DOIUrl":"https://doi.org/10.1109/CDC.2011.6161045","url":null,"abstract":"This paper studies a class of cooperative networks that exhibit clustering in their steady-state behavior. We consider a collection of agents with heterogeneous dynamics and a bounded interaction rule between neighboring systems. We relate the steady state-behavior of the dynamical network to a static saddle-point problem. The saddle-point description of the system allows for a precise characterization of clustering. We show that the graph forms clusters along edges that are saturated and the corresponding cluster values depend only on these edges and the objective functions of each agent. We then provide a Lyapunov stability proof connecting the steady-state behavior of the dynamic system to the solution of the static saddle-point problem.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120874591","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}