Abstract:
This paper considers a set of multiple independent control systems that are each connected over a nonstationary wireless channel. The goal is to maximize control performa...Show MoreMetadata
Abstract:
This paper considers a set of multiple independent control systems that are each connected over a nonstationary wireless channel. The goal is to maximize control performance over all the systems through the allocation of transmitting power within a fixed budget. This can be formulated as a constrained optimization problem examined using Lagrangian duality. By taking samples of the unknown wireless channel at every time instance, the resulting problem takes on the form of empirical risk minimization, a well-studied problem in machine learning. Due to the nonstationarity of wireless channels, optimal allocations must be continuously learned and updated as the channel evolves. The quadratic convergence property of Newton's method motivates its use in learning approximately optimal power allocation policies over the sampled dual function as the channel evolves over time. Conditions are established under which Newton's method learns approximate solutions with a single update, and the subsequent suboptimality of the control problem is further characterized. Numerical simulations illustrate the near-optimal performance of the method and resulting stability on a wireless control problem.
Published in: IEEE Transactions on Signal Processing ( Volume: 67, Issue: 5, March 2019)
Funding Agency:
Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA
Mark Eisen received the B.Sc. degree in electrical engineering from the University of Pennsylvania, Philadelphia, PA, USA, in 2014. He is now currently working toward the Ph.D. degree from the Department of Electrical and Systems Engineering, University of Pennsylvania. His research interests include distributed optimization and machine learning. In the summer of 2013, he was a research intern with the Institute for Mathe...Show More
Mark Eisen received the B.Sc. degree in electrical engineering from the University of Pennsylvania, Philadelphia, PA, USA, in 2014. He is now currently working toward the Ph.D. degree from the Department of Electrical and Systems Engineering, University of Pennsylvania. His research interests include distributed optimization and machine learning. In the summer of 2013, he was a research intern with the Institute for Mathe...View more
Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA
Konstantinos Gatsis (S’10–M’16) received the Ph.D. degree in electrical and systems engineering from the University of Pennsylvania, Philadelphia, PA, USA, in 2016.
He is currently a Postdoctoral Researcher with the Department of Electrical and Systems Engineering, University of Pennsylvania. His research interests include safe, secure, autonomous applications in the Internet-of-Things developing control, learning, communi...Show More
Konstantinos Gatsis (S’10–M’16) received the Ph.D. degree in electrical and systems engineering from the University of Pennsylvania, Philadelphia, PA, USA, in 2016.
He is currently a Postdoctoral Researcher with the Department of Electrical and Systems Engineering, University of Pennsylvania. His research interests include safe, secure, autonomous applications in the Internet-of-Things developing control, learning, communi...View more
Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA
George J. Pappas (F’09) is the Joseph Moore Professor and Chair of the Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA. He also holds a secondary appointment with the Departments of Computer and Information Sciences, and Mechanical Engineering and Applied Mechanics. He is member of the GRASP Lab and the PRECISE Center. He has previously served as the Deputy Dean for Rese...Show More
George J. Pappas (F’09) is the Joseph Moore Professor and Chair of the Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA. He also holds a secondary appointment with the Departments of Computer and Information Sciences, and Mechanical Engineering and Applied Mechanics. He is member of the GRASP Lab and the PRECISE Center. He has previously served as the Deputy Dean for Rese...View more
Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA
Alejandro Ribeiro received the B.Sc. degree in electrical engineering from the Universidad de la Republica Oriental del Uruguay, Montevideo, Uruguay, in 1998 and the M.Sc. and Ph.D. degrees in electrical engineering from the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA, in 2005 and 2007, respectively. From 1998 to 2003, he was a member of the technical staff with Bellsou...Show More
Alejandro Ribeiro received the B.Sc. degree in electrical engineering from the Universidad de la Republica Oriental del Uruguay, Montevideo, Uruguay, in 1998 and the M.Sc. and Ph.D. degrees in electrical engineering from the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA, in 2005 and 2007, respectively. From 1998 to 2003, he was a member of the technical staff with Bellsou...View more
Contents Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA
Mark Eisen received the B.Sc. degree in electrical engineering from the University of Pennsylvania, Philadelphia, PA, USA, in 2014. He is now currently working toward the Ph.D. degree from the Department of Electrical and Systems Engineering, University of Pennsylvania. His research interests include distributed optimization and machine learning. In the summer of 2013, he was a research intern with the Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN, USA. Mr. Eisen was a recipient of the Outstanding Student Presentation at the 2014 Joint Mathematics Meeting, as well as the recipient of the 2016 Penn Outstanding Undergraduate Research Mentor Award.
Mark Eisen received the B.Sc. degree in electrical engineering from the University of Pennsylvania, Philadelphia, PA, USA, in 2014. He is now currently working toward the Ph.D. degree from the Department of Electrical and Systems Engineering, University of Pennsylvania. His research interests include distributed optimization and machine learning. In the summer of 2013, he was a research intern with the Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN, USA. Mr. Eisen was a recipient of the Outstanding Student Presentation at the 2014 Joint Mathematics Meeting, as well as the recipient of the 2016 Penn Outstanding Undergraduate Research Mentor Award.View more
Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA
Konstantinos Gatsis (S’10–M’16) received the Ph.D. degree in electrical and systems engineering from the University of Pennsylvania, Philadelphia, PA, USA, in 2016.
He is currently a Postdoctoral Researcher with the Department of Electrical and Systems Engineering, University of Pennsylvania. His research interests include safe, secure, autonomous applications in the Internet-of-Things developing control, learning, communication, optimization, and security tools.
Dr. Gatsis was a recipient of the Joseph, D16, and Rosaline Wolf Award for Best Doctoral Dissertation from the Department of Electrical and Systems Engineering, University of Pennsylvania, the 2014 O. Hugo Schuck Best Paper Award, the Student Best Paper Award at the 2013 American Control Conference, and was a Best Paper Award Finalist at the 2014 ACM/IEEE International Conference on Cyber-Physical Systems.
Konstantinos Gatsis (S’10–M’16) received the Ph.D. degree in electrical and systems engineering from the University of Pennsylvania, Philadelphia, PA, USA, in 2016.
He is currently a Postdoctoral Researcher with the Department of Electrical and Systems Engineering, University of Pennsylvania. His research interests include safe, secure, autonomous applications in the Internet-of-Things developing control, learning, communication, optimization, and security tools.
Dr. Gatsis was a recipient of the Joseph, D16, and Rosaline Wolf Award for Best Doctoral Dissertation from the Department of Electrical and Systems Engineering, University of Pennsylvania, the 2014 O. Hugo Schuck Best Paper Award, the Student Best Paper Award at the 2013 American Control Conference, and was a Best Paper Award Finalist at the 2014 ACM/IEEE International Conference on Cyber-Physical Systems.View more
Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA
George J. Pappas (F’09) is the Joseph Moore Professor and Chair of the Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA. He also holds a secondary appointment with the Departments of Computer and Information Sciences, and Mechanical Engineering and Applied Mechanics. He is member of the GRASP Lab and the PRECISE Center. He has previously served as the Deputy Dean for Research with the School of Engineering and Applied Science. His research focuses on control theory and in particular, hybrid systems, embedded systems, hierarchical and distributed control systems, with applications to unmanned aerial vehicles, distributed robotics, green buildings, and biomolecular networks. He was a recipient of various awards, such as the Antonio Ruberti Young Researcher Prize, the George S. Axelby Award, the O. Hugo Schuck Best Paper Award, the National Science Foundation PECASE, and the George H. Heilmeier Faculty Excellence Award.
George J. Pappas (F’09) is the Joseph Moore Professor and Chair of the Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA. He also holds a secondary appointment with the Departments of Computer and Information Sciences, and Mechanical Engineering and Applied Mechanics. He is member of the GRASP Lab and the PRECISE Center. He has previously served as the Deputy Dean for Research with the School of Engineering and Applied Science. His research focuses on control theory and in particular, hybrid systems, embedded systems, hierarchical and distributed control systems, with applications to unmanned aerial vehicles, distributed robotics, green buildings, and biomolecular networks. He was a recipient of various awards, such as the Antonio Ruberti Young Researcher Prize, the George S. Axelby Award, the O. Hugo Schuck Best Paper Award, the National Science Foundation PECASE, and the George H. Heilmeier Faculty Excellence Award.View more
Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA, USA
Alejandro Ribeiro received the B.Sc. degree in electrical engineering from the Universidad de la Republica Oriental del Uruguay, Montevideo, Uruguay, in 1998 and the M.Sc. and Ph.D. degrees in electrical engineering from the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA, in 2005 and 2007, respectively. From 1998 to 2003, he was a member of the technical staff with Bellsouth, Montevideo, Uruguay. After his M.Sc. and Ph.D studies, in 2008, he joined the University of Pennsylvania, Philadelphia, PA, USA, where he is currently the Rosenbluth Associate Professor with the Department of Electrical and Systems Engineering. His research interests include applications of statistical signal processing to the study of networks and networked phenomena. His focus is on structured representations of networked data structures, graph signal processing, network optimization, robot teams, and networked control. Dr. Ribeiro is a Fulbright scholar and a Penn Fellow. He was a recipient of the 2014 O. Hugo Schuck best paper award, the 2012 S. Reid Warren, Jr. Award presented by Penn's undergraduate student body for outstanding teaching, the NSF CAREER Award in 2010, and paper awards at the 2016 SSP Workshop, 2016 SAM Workshop, 2015 Asilomar SSC Conference, ACC 2013, ICASSP 2006, and ICASSP 2005.
Alejandro Ribeiro received the B.Sc. degree in electrical engineering from the Universidad de la Republica Oriental del Uruguay, Montevideo, Uruguay, in 1998 and the M.Sc. and Ph.D. degrees in electrical engineering from the Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA, in 2005 and 2007, respectively. From 1998 to 2003, he was a member of the technical staff with Bellsouth, Montevideo, Uruguay. After his M.Sc. and Ph.D studies, in 2008, he joined the University of Pennsylvania, Philadelphia, PA, USA, where he is currently the Rosenbluth Associate Professor with the Department of Electrical and Systems Engineering. His research interests include applications of statistical signal processing to the study of networks and networked phenomena. His focus is on structured representations of networked data structures, graph signal processing, network optimization, robot teams, and networked control. Dr. Ribeiro is a Fulbright scholar and a Penn Fellow. He was a recipient of the 2014 O. Hugo Schuck best paper award, the 2012 S. Reid Warren, Jr. Award presented by Penn's undergraduate student body for outstanding teaching, the NSF CAREER Award in 2010, and paper awards at the 2016 SSP Workshop, 2016 SAM Workshop, 2015 Asilomar SSC Conference, ACC 2013, ICASSP 2006, and ICASSP 2005.View more
