Abstract
In this paper, we consider the problem of going from high-level specifications of complex control tasks for cyber-physical systems to their actual implementation and execution on physical devices. This transition between abstraction levels inevitably results in a specification-to-execution gap, and we discuss two sources for this gap; namely model based and constraint based. For both of these two types of sources, we show how hybrid control techniques provide the tools needed to compile high-level control programs in such a way that the specification-to-execution gap is removed. The solutions involve introducing new control modes into nominal strings of control modes as well as adjusting the control modes themselves.
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Notes
Since our Lyapunov functions are conservative estimates of the region of attraction around each point, it may still be possible to execute an MDL string even if \(\sigma \notin \mathcal{F}\).
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Martin, P., Egerstedt, M.B. Hybrid systems tools for compiling controllers for cyber-physical systems. Discrete Event Dyn Syst 22, 101–119 (2012). https://doi.org/10.1007/s10626-011-0117-8
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DOI: https://doi.org/10.1007/s10626-011-0117-8