{"title":"Convergence of distributed averaging and maximizing algorithms Part II: State-dependent graphs","authors":"Guodong Shi, K. Johansson","doi":"10.1109/ACC.2013.6580916","DOIUrl":"https://doi.org/10.1109/ACC.2013.6580916","url":null,"abstract":"In this paper, we formulate and investigate a generalized consensus algorithm which makes an attempt to unify distributed averaging and maximizing algorithms considered in the literature. Each node iteratively updates its state as a time-varying weighted average of its own state, the minimal state, and the maximal state of its neighbors. In Part I of the paper, time-dependent graphs are studied. This part of the paper focuses on state-dependent graphs. We use a μ-nearest-neighbor rule, where each node interacts with its μ nearest smaller neighbors and the μ nearest larger neighbors. It is shown that μ+1 is a critical threshold on the total number of nodes for the transit from finite-time to asymptotic convergence for averaging, in the absence of node self-confidence. The threshold is 2μ if each node chooses to connect only to neighbors with unique values. The results characterize some similarities and differences between distributed averaging and maximizing algorithms.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126885260","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":"Fault diagnosis and fault tolerant control for the non-Gaussian time-delayed stochastic distribution control system","authors":"L. Yao, Bo Peng","doi":"10.1109/ACC.2013.6580683","DOIUrl":"https://doi.org/10.1109/ACC.2013.6580683","url":null,"abstract":"The main feature of the stochastic distribution control system is the output probability density function rather than the real value. The effectiveness of the fault detection, diagnosis and fault tolerant control will be reduced when time delay exists in control systems. In this paper, the rational square-root B-spline is used to approach the output probability density function. In order to diagnose the fault in the dynamic part of such systems, it is then followed by the novel design of a nonlinear neural network observer-based fault diagnosis algorithm. Based on the fault diagnosis information, a new fault tolerant control based on PI tracking control scheme is designed to make the post-fault probability density function still track the given distribution. Finally, simulations for the particle distribution control problem are given to show the effectiveness of the proposed approach.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129208120","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":"Language evolution in a noisy environment","authors":"B. Touri, Cédric Langbort","doi":"10.1109/ACC.2013.6580119","DOIUrl":"https://doi.org/10.1109/ACC.2013.6580119","url":null,"abstract":"We study language formation through reinforcement learning in a signaling game over a noisy channel. We show that under the general assumption of memory-less channel, many of the results that hold for similar dynamics in a noiseless environment, hold in the presence of a noisy channel. In particular, we show that conditioned on the existence of the solution for the fluid dynamics, such dynamics admits a weak Lyapunov function. Furthermore, we show that original dynamics is convergent to the zero set of the derivative of this Lyapunov function along the trajectories of the dynamics.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130620764","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":"Modeling and analysis of a rotating turret winder in roll-to-roll manufacturing systems","authors":"A. Seshadri, P. Pagilla","doi":"10.1109/ACC.2013.6580886","DOIUrl":"https://doi.org/10.1109/ACC.2013.6580886","url":null,"abstract":"The process of manufacturing products using roll-to-roll (R2R) methods involves unwinding of thin, flexible material in rolled form into machinery for processing and winding of the processed material into a roll. This paper describes modeling and control of a rotating turret winder in the rewind section of a R2R printing press. Governing equations for web speed and web tension within the rewind section are described by taking into consideration the motion of the rotating turret winder. Data from production runs of an industrial R2R printing press are analyzed to determine web behavior during a wound roll change sequence accomplished by the rotating turret. Model simulations are conducted and data from these simulations are compared with typical data from production runs. The key challenges associated with controlling web speed and web tension in a rewind section containing a rotating turret winder are discussed along with recommendations for machine and control design to achieve improved regulation of process parameters.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"422 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123856038","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":"Mining PMU data for real-time insights into grid power flow properties","authors":"C. DeMarco","doi":"10.1109/ACC.2013.6580902","DOIUrl":"https://doi.org/10.1109/ACC.2013.6580902","url":null,"abstract":"Summary form only given. A synchronous power grid in steady state operation is a power flow solution engine: its inputs are the demanded and injected powers at load and generation buses, its outputs the sinusoidal (quasi-) steady state behavior of voltages at all buses in the network. With wide-spread deployment of phasor measurement units, grid operators are able to monitor the time varying, windowed Fourier component of these voltages about the 50 or 60 Hz fundamental. In traditional power flow studies, these voltage phasors would be estimated by solving the power flow equations, given power demands and injections. The premise of this work is that phasor measurements will allow real-time, “model free” monitoring of the properties of the power flow. On an fast time scale, load variation includes a broad-bandwidth stochastic component that excites the system over a wide range of input directions. In this framework, a widowed array of output vectors (i.e., the phasor measurements) carries information regarding the conditioning of the powerflow. The work here develops a “model free” computation of the largest singular value of a PMU measurement array, and shows it closely tracks the largest singular value of the power flow Jacobian inverse, as computed with full system model information.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123882562","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":"Adaptive control via embedding in reproducing kernel Hilbert spaces","authors":"A. Kurdila, Yun-qi Lei","doi":"10.1109/ACC.2013.6580354","DOIUrl":"https://doi.org/10.1109/ACC.2013.6580354","url":null,"abstract":"This paper derives a formulation of an adaptive tracking control problem for systems having uncertain nonlinear dynamics by embedding an original L1 adaptive control problem in a reproducing kernel Hilbert space (RKHS). This paper proves the well-posedness of the closed loop evolution laws in the RKHS and derives sufficient conditions for stability and tracking convergence. When the uncertainty in the dynamics is represented in a RKHS that satisfies certain fundamental smoothness properties, the adaptive controller yields a closed loop system whose stability and convergence properties are analogous to that obtained for conventional model reference and L1 control for systems of ordinary differential equations.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124173740","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":"Design of structured discrete-time LPV gain-scheduling controllers through state augmentation and partial state feedback","authors":"Xinyu Shu, Pablo Ballesteros, W. Heins, C. Bohn","doi":"10.1109/ACC.2013.6580793","DOIUrl":"https://doi.org/10.1109/ACC.2013.6580793","url":null,"abstract":"A method to design discrete-time linear parameter-varying (LPV) gain-scheduling controllers with prescribed order through state augmentation and partial state feedback is presented. Prescribed polytopic linear parameter-varying (pLPV) dynamics are added to the plant for the control design using state augmentation. Static state-feedback gains are calculated via convex linear matrix inequalities (LMIs) and interpolated with pLPV techniques. The resulting controller consists of the prescribed pLPV dynamics and the time-varying gains. The order of the controller is fixed and reduced compared to existing approaches. As an example, a sixth-order controller for suppression of a harmonic disturbance with three time-varying frequencies is designed and implemented in real time in an active vibration control (AVC) test bench.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"213 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124203326","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 path planning and power allocation for a long endurance solar-powered UAV","authors":"Saghar Hosseini, R. Dai, M. Mesbahi","doi":"10.1109/ACC.2013.6580224","DOIUrl":"https://doi.org/10.1109/ACC.2013.6580224","url":null,"abstract":"In this paper the problem of optimal path planning and power allocation for an Unmanned Aerial Vehicle (UAV) is explored. The UAV is equipped with photovoltaic cells on top of its wings and its energy sources are solar power and rechargeable batteries. The Sun incidence angle on the photovoltaic cells, which subsequently affects energy harvesting, is determined by the attitude of the UAV and the Sun position. The desired optimal path between two given boundary points, is aimed at increasing the amount of energy storage at the final point. Meanwhile, the charging state of the battery, resulting from the power allocation, needs to be determined along with the path planning procedure. Two approaches, nonlinear programming and model reduction, are proposed and their corresponding simulation results are presented and compared.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123206469","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. Basin, M. Jiménez-Lizárraga, P. Rodriguez-Ramirez, Victoria Celeste Rodríguez Carreón
{"title":"Optimal control for a polynomial system with a quadratic criterion over infinite horizon","authors":"M. Basin, M. Jiménez-Lizárraga, P. Rodriguez-Ramirez, Victoria Celeste Rodríguez Carreón","doi":"10.1080/00207721.2013.823528","DOIUrl":"https://doi.org/10.1080/00207721.2013.823528","url":null,"abstract":"This paper proposes an optimal control algorithm for a polynomial system with a quadratic criterion over infinite horizon. The designed regulator gives a closed form solution to the infinite horizon optimal control problem for a polynomial system with a quadratic criterion. The obtained solution consists in a feedback control law obtained by solving a Riccati algebraic equation dependent on the state. Numerical simulations in the example show advantages of the developed algorithm.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121187239","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}
Anthony J. Marasco, S. Givigi, C. Rabbath, A. Beaulieu
{"title":"Dynamic encirclement of a moving target using decentralized nonlinear Model Predictive Control","authors":"Anthony J. Marasco, S. Givigi, C. Rabbath, A. Beaulieu","doi":"10.1109/ACC.2013.6580445","DOIUrl":"https://doi.org/10.1109/ACC.2013.6580445","url":null,"abstract":"Dynamic encirclement is a tactic which can be employed by a group of UAVs to neutralize a target by restricting its movement, or provide constant surveillance of a target. The aim of the UAVs in the formation is to move into a position close to the target and establish a moving formation around the target. In this paper, the problem of creating a dynamic circular formation around a moving target is considered, and a Decentralized Model Predictive Control (DMPC) policy is formulated. Using theoretical results, a stabilizing control policy is derived, and the policy is validated through simulation results. Furthermore, we examine the effects of communications between the UAVs and the use of a model target on the performance of the UAVs. The contributions of this paper are the extension of the dynamic encirclement tactic to the case of a group of UAVs and a moving target, the consideration of a target model and communications, and the application of theoretical stability analysis to the problem.","PeriodicalId":145065,"journal":{"name":"2013 American Control Conference","volume":"188 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114116954","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}