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Fundamental Trade-Offs in Robust Control with Heterogeneous Uncertainty

Speaker: Dr. Tamer Basar, University of Illinois at Urbana-Champaign

Thursday, February 9, 2017  |  12:30 PM CST

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Abstract

The paradigm of networked control systems, where the feedback loop is closed over heterogeneous networks, has opened up a vast number of opportunities for applications in different fields while creating also a number of challenges with regard to reliability, robustness, and security of control operations. This talk will address these challenges, where networks providing sensor measurements to controller(s) and those carrying control signals to the plant as well as the plant itself are vulnerable to stochastic as well as adversarial disturbances and sporadic failure of channel connectivity. The question of interest is the extent to which the plant, measured in terms of a performance metric, can tolerate such disturbances and failures, which themselves are also quantified in terms of some appropriate metrics.

Following a general overview of networked control problems, the talk will focus on linear-quadratic systems, with norm-bounded deterministic (adversarial) disturbance inputs and hybrid stochastic uncertainty, both of which impact network channels, where the latter is characterized by additive Gaussian noise and Bernoulli type failures. Explicit results for both the estimation problem and the control problem will be discussed under the TCP (Transmission Control Protocol) type information structure (which leads to certainty-equivalance, but not to separation of estimation and control), and the trade-offs between control performance, disturbance energy, and channel failure rates (that is, channel reliability) will be quantified. Under the UDP (User Datagram Protocol) type packet loss acknowledgement process, on the other hand, there is no certainty-equivalance, but still some trade-off results can be obtained. The talk will conclude with a discussion of future directions of research in this topical area and the challenges that lie ahead.


Biography

Tamer Başar has been with the University of Illinois at Urbana-Champaign since 1981, where he holds the academic positions of Swanlund Endowed Chair; Center for Advanced Study Professor of Electrical and Computer Engineering; Professor, Coordinated Science Laboratory; Professor, Information Trust Institute; and Affiliate Professor, Mechanical Sciences and Engineering. He is also the Director of the Center for Advanced Study. He is a member of the US National Academy of Engineering and the European Academy of Sciences; Fellow of IEEE, IFAC, and SIAM; a past president of the IEEE Control Systems Society (CSS), the founding president of the International Society of Dynamic Games (ISDG), and a past president of the American Automatic Control Council (AACC). He has received several awards and recognitions over the years, including the highest awards of IEEE CSS, IFAC, AACC, and ISDG, the IEEE Control Systems Technical Field Award, and a number of international honorary doctorates and professorships. Dr. Başar has over 700 publications in systems, control, communications, optimization, and dynamic games, including books on non-cooperative dynamic game theory, robust control, network security, wireless and communication networks, and stochastic networks. He is editor of several book series.