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Creators/Authors contains: "Gray, W. Steven"

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  1. ( , 2020 59th IEEE Conference on Decision and Control)
    null (Ed.)
    A class of nonlinear matched filters is introduced suitable for detection problems using Chen–Fliess functional series. Such series can be viewed as a noncommutative analogue of Taylor series. They are written in terms of a weighted sum of iterated integrals indexed by words over a noncommuting set of symbols. The primary goal is to identify within this class the set of filters which maximizes the signal-to-noise ratio at a given time instant in order to provide a statistic for detecting a known signal. 
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  2. ; ( , Systems & Control Letters)
    null (Ed.)
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  3. ; ( , Proc. 24st International Conference on System Theory, Control and Computing)
    null (Ed.)
    The notion of a shuffle-rational formal power series is introduced. Then two equivalent characterizations are presented, one in terms of an analogue of Schützenberger’s recognizability of a series, and the other in the context of state space realizations of nonlinear input-output systems represented by Chen-Fliess series. An underlying computational framework is also described which employs the Hopf algebra associated with the shuffle group. As an application, it is shown how to model a bilinear system with output saturation in this context. 
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  4. ; ; ( , Proc. 24st International Conference on System Theory, Control and Computing)
    null (Ed.)
    A new learning methodology in terms of a discretization of a so-called Chen-Fliess series of a control affine nonlinear system was recently proposed, in part, for the purpose of systematically including system structure and expert knowledge into control strategies. The main objective of this paper is to appropriately embed this learning unit as a supporting predictive controller for power dynamical systems. In particular, an infinite bus system is used for the prototype design of a smart and active control policy to regulate voltage and frequency. It is demonstrated by simulation how a controller employing a Chen-Fliess learning unit can recover from a fault and address modeling mismatch. 
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  5. ; ; ( , Automatica)
    null (Ed.)
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  6. ( , Proc. 58th IEEE Conference on Decision and Control)
    null (Ed.)
    The goal of this paper is to use a flat coordinate system to show that a flat output for a SISO flat system can be written in terms of a certain composition of input-output operators. The work is partially motivated by the author’s recent work on computing the relative degree of interconnected systems. First the general smooth case is considered, followed by the control affine analytic case. The latter is more amenable to computations in terms of Chen-Fliess series. 
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  7. ; ; ( , Proceedings of the ... American Control Conference)
    Accepted Manuscript Full Text Available
  8. ; ( , Systems & Control Letters)
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  9. ; ; ( , 2019 53rd Annual Conference on Information Sciences and Systems (CISS))
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