{"title":"Model structure learning: A support vector machine approach for LPV linear-regression models","authors":"R. Tóth, V. Laurain, W. Zheng, K. Poolla","doi":"10.1109/CDC.2011.6160564","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160564","url":null,"abstract":"Accurate parametric identification of Linear Parameter-Varying (LPV) systems requires an optimal prior selection of a set of functional dependencies for the parametrization of the model coefficients. Inaccurate selection leads to structural bias while over-parametrization results in a variance increase of the estimates. This corresponds to the classical bias-variance trade-off, but with a significantly larger degree of freedom and sensitivity in the LPV case. Hence, it is attractive to estimate the underlying model structure of LPV systems based on measured data, i.e., to learn the underlying dependencies of the model coefficients together with model orders etc. In this paper a Least-Squares Support Vector Machine (LS-SVM) approach is introduced which is capable of reconstructing the dependency structure for linear regression based LPV models even in case of rational dynamic dependency. The properties of the approach are analyzed in the prediction error setting and its performance is evaluated on representative examples.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123756418","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":"Robust control under weakened real-time constraints","authors":"Patrick Jocelyn Andrianiaina, A. Seuret, D. Simon","doi":"10.1109/CDC.2011.6161104","DOIUrl":"https://doi.org/10.1109/CDC.2011.6161104","url":null,"abstract":"A weakened implementation scheme for real-time feedback controllers is proposed to reduce the conservatism due to traditional worst-cases considerations, while preserving the stability and control performance. Based on recent results to assess stability of linear systems with delayed and sampled-data inputs, this paper takes into account both the effects of deadline misses of control tasks and uncertainties in the plant. The methodology is applied to the pitch control of an aircraft, showing that weakening the real-time constraints allows for saving computing power while preserving the system's stability.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122322866","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":"Best-effort highway traffic congestion control via variable speed limits","authors":"C. C. Wit","doi":"10.1109/CDC.2011.6160267","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160267","url":null,"abstract":"The problem of controlling the congestion front in a single link road section is considered in this paper. For this purpose, we introduce a new variable-length two-cell lumped model composed of; one congested cell, and another in free flow. This model has the advantage of having few states while preserving the vehicle conservation property. This model is used as a basis to design a simple “best-effort” controller that regulates (at its best) the congestion front to some pre-specified value. The control law can be implemented using only information about the congestion front position.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114195200","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":"Reducing computational load in Moving-Horizon Observers using partial explicit map inversion","authors":"O. Omar, M. Alamir","doi":"10.1109/CDC.2011.6161328","DOIUrl":"https://doi.org/10.1109/CDC.2011.6161328","url":null,"abstract":"This paper proposes a novel approach that may help reducing the computational burden when using the Nonlinear Moving-Horizon Observer/ Estimator (MHE) technique. This technique is often used to reconstruct unmeasured quantities of a dynamic system. The latter may include both the state and the vector of parameters that are involved in the system model. The proposed approach is based on the use of partial explicit inversion maps that express a part of the problem unknowns as a function of the remaining ones. The Moving-Horizon Estimators can therefore concentrate on the latter reduced dimensional unknown vector. The paper shows how explicit inversion maps can be derived based on a recently developed graphical-signature-based technique. Two illustrative examples are proposed to show the efficiency of the proposed solution.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"181 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126013131","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":"Iterative fault tolerant control based on Stochastic Distribution","authors":"Z. Skaf, A. Al-Bayati, Hong Wang, Aiping Wang","doi":"10.1109/CDC.2011.6160203","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160203","url":null,"abstract":"A new design of a fault tolerant control (FTC)-based an adaptive, fixed-structure PI controller, with constraints on the state vector for nonlinear discrete-time system subject to stochastic non-Gaussian disturbance is studied. The objective of the reliable control algorithm scheme is to design a control signal such that the actual probability density function (PDF) of the system is made as close as possible to a desired PDF, and make the tracking performance converge to zero, not only when all components are functional but also in case of admissible faults. A Linear Matrix Inequality (LMI)-based FTC method is presented to ensure that the fault can be estimated and compensated for. A radial basis function (RBF) neural network is used to approximate the output PDF of the system. Thus, the aim of the output PDF control will be a RBF weight control with an adaptive tuning of the basis function parameters. The key issue here is to divide the control horizon into a number of equal time intervals called batches. Within each interval, there are a fixed number of sample points. The design procedure is divided into two main algorithms, within each batch, and between any two adjacent batches. A P-type ILC law is employed to tune the parameters of the RBF neural network so that the PDF tracking error decreases along with the batches. Sufficient conditions for the proposed fault tolerance are expressed as LMIs. An analysis of the ILC convergence is carried out. Finally, the effectiveness of the proposed method is demonstrated with an illustrated example.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134290367","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":"An integration framework for Control/Communication/Computation (3C) co-design with application in fleet control of AUVs","authors":"A. Farhadi, C. C. Wit","doi":"10.1109/CDC.2011.6160603","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160603","url":null,"abstract":"In this paper we introduce an integration framework for Control/Communication/Computation (3C) co-design based on the motivating example of fleet control of Autonomous Underwater Vehicles (AUVs) supervised by an Autonomous Surface Vehicle (ASV). Specifically, we address the problem of almost sure stability of an unstable system with multiple observations over the packet erasure channel with emphasize on coding computational complexity. We look at the tradeoff between duty cycle for feedback channel use, coding computational complexity, and performance. We compare coding computational complexity and performance for two cases: a) No feedback channel at all, and b) Feedback channel all the time. It is shown that the strategy of using feedback channel results in a better performance.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"165 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120885382","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":"Joint stiffness identification from only motor force/torque data","authors":"M. Gautier, A. Janot, A. Jubien, P. Vandanjon","doi":"10.1109/CDC.2011.6160589","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160589","url":null,"abstract":"This paper deals with joint stiffness identification with only actual motor force/torque data instead of motor and load positions. The parameters are estimated by using the DIDIM method which needs only input data. This method was previously validated on a 6 DOF rigid robot and is now extended to flexible systems. The criterion to be minimized is the quadratic error between the measured actual motor force/torque and the simulated one. The optimal parameters are calculated with the Nelder - Mead simplex algorithm. An experimental setup exhibits the experimental identification results and shows the effectiveness of our approach.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122850541","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":"Collaborative estimation of gradient direction by a formation of AUVs under communication constraints","authors":"Lara Briñón-Arranz, A. Seuret, C. Canudas-de-Wit","doi":"10.1109/CDC.2011.6160776","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160776","url":null,"abstract":"This work deals with the source-seeking problem in which the task is to locate the source of some signal using a fleet of Autonomous Underwater Vehicles (AUVs). The present paper proposes a distributed solution in which a group of vehicles uniformly distributed in a fixed circular formation, estimates the gradient direction of the signal propagation. The distributed algorithm takes into account the communication constraints and depends on direct signal measurements. Our approach is based on the previous results in formation control to stabilize the fleet in a circular formation with time-varying center and in a collaborative source-seeking algorithm. The results are supported through computer simulations.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134123817","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":"Characterization of stability transitions and practical stability of planar singularly perturbed linear switched systems","authors":"Fouad El Hachemi, M. Sigalotti, J. Daafouz","doi":"10.1109/CDC.2011.6160234","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160234","url":null,"abstract":"This paper is concerned with the stability of planar linear singularly perturbed switched systems in continuous time. Based on a necessary and sufficient stability condition, we characterize all possible stability transitions for this class of switched systems and we propose a practical stability result. We answer the questions related to what happen as ∈, the singular perturbation parameter, grows and how many times the system can change its stability behavior (asymptotic stability, stability, instability) and which transitions are possible. Moreover, we analyze practical stability from the viewpoint of Tikhonov approach and in particular based on existing results obtained in the context of differential inclusions. We show that these approaches can be applied to singularly perturbed switched systems allowing to prove practical stability in some cases. This kind of stability focuses on the behavior of the system on compact time-intervals as ∈ tends to 0 (in particular, it does not ensure the asymptotic stability towards the origin). It is therefore different from the stability criteria where ∈ is fixed (arbitrarily small) and the asymptotic behavior for large times is considered. For planar systems, it turns out that when practical stability can be deduced from Tikhonov-type results, then global uniform asymptotic stability (for ∈ > 0 small) holds true. It is an open question whether this is still true for higher dimensional singularly perturbed switched systems.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134481030","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 robust algebraic approach to fault diagnosis of uncertain linear systems","authors":"A. M. Ali, C. Join, F. Hamelin","doi":"10.1109/CDC.2011.6160316","DOIUrl":"https://doi.org/10.1109/CDC.2011.6160316","url":null,"abstract":"This article proposes an algebraic method to fault diagnosis for uncertain linear systems. The main advantage of this new approach is to realize fault diagnosis only from knowledge of input and output measurements without identifying explicitly model parameters. Using tools and results of algebraic identification and pseudospectra analysis, the issues of robustness of the proposed approach compared to the model order and noise measurement are examined. Numerical examples are provided and discussed to illustrate the efficiency of the proposed fault diagnosis method.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125718334","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}