Abstract
This paper presents an analysis of hybrid systems performance with respect to the variation of switching manifold parameters. The problem presented here has two aspects: (i) the general hybrid control problem and (ii) the variation of the switching manifold configurations which determine the autonomous (uncontrolled) discrete state switchings. The optimal cost variation (i.e. derivative) as a function of the switching manifold parameters is described by the solution of a set of differential equations generating the state and costate sensitivity functions. An example is presented to illustrate the main result of the paper.
This work was supported by an NSERC Discovery Grant.
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Taringoo, F., Caines, P.E. (2009). The Sensitivity of Hybrid Systems Optimal Cost Functions with Respect to Switching Manifold Parameters. In: Majumdar, R., Tabuada, P. (eds) Hybrid Systems: Computation and Control. HSCC 2009. Lecture Notes in Computer Science, vol 5469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00602-9_38
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DOI: https://doi.org/10.1007/978-3-642-00602-9_38
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