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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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Synthesis of controllers for target problems of hybrid systems using appropriate computation

Pang, Y. and Spathopoulos, M.P. (2005) Synthesis of controllers for target problems of hybrid systems using appropriate computation. International Journal of Control, 78 (18). pp. 1466-1485. ISSN 0020-7179

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Abstract

This paper presents methodologies based on approximate computations for the target control problem of hybrid systems modelled by hybrid automata. The problem of backward reachability and its relation to the control synthesis is studied using approximate analysis techniques. The reachability operators, considering non-linear and linear dynamics with affine disturbances, are under-approximated using state space discretization that involves hyper-cubes. The timing information provided by the backward reachability computation is used in order to design a sub-optimal controller. The computational techniques are applied to the batch evaporator benchmark process which has practical interest.