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Supervisory control of hybrid systems via l-complete approximations

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Raisch,  J.
Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

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Citation

Moor, T., Raisch, J., & O'Young, S. D. (1998). Supervisory control of hybrid systems via l-complete approximations. In A. Giua (Ed.), Proceedings / WODES '98 - 4th International Workshop on Discrete Event Systems (pp. 426-431).


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-A328-6
Abstract
This contribution addresses the synthesis of supervisory control for hybrid systems with discrete external signals. Such systems are in general neither l-complete nor can they be represented by finite state machines. We find an l-complete approximation (abstraction) Σl for Σ, represent it by a finite state machine, and investigate the control problem for the approximation. If a solution exists, we synthesize the maximally permissive supervisor for Σl. We show that it also solves the control problem for the hybrid system Σ. If no solution exists, approximation accuracy can be increased by computing a k-complete abstraction Σk, k > l. This paper is entirely set within the framework of Willems' behavioural systems theory.