Control of piecewise-affine hybrid systems (Extended abstract)

P.J. Collins, L.C.G.J.M. Habets, M. Petreczky, J.H. Schuppen, van

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The character of this paper is an extended abstract of the approach developed by the authors for control of piecewise-affine hybrid systems. Control of hybrid systems is a wide ranging research topic with many theoretical problems. The authors have therefore decided early on to restrict attention to piecewise-affine hybrid systems on polytopes. The approach developed includes for affine systems on polytopes sufficient conditions for the problems (1) leaving the polytope in finite time through a prespecified set of facets; (2) remaining inside a particular polytope forever; and (3) converging to a fixed state inside a particular polytope. For piecewise-affine hybrid system on polytopes a procedure for reachability and control synthesis is proposed consisting of (1) for each discrete state the computation of all possible exit facets and exit events; (2) abstraction of the continuous dynamics to an automaton; and (3) the search of a path in the automaton from an initial discrete state to a target discrete state. Open research issues for control of hybrid systems are stated.
Originele taal-2Engels
TitelProceedings of the 3rd IFAC Conference on Analysis and Design of Hybrid Systems (Zaragoza, Spain, September 16-18, 2009)
RedacteurenA. Giua, C. Mahulea, M. Silva, J. Zatoon
UitgeverijIFAC
Pagina's234-237
StatusGepubliceerd - 2009

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