American Journal of Applied Sciences

Control of Hybrid Systems With Independent Continuous and Discrete Goals

M. De la Sen, J.C. Soto, A. Gallego and J.L. Malaina

DOI : 10.3844/ajassp.2008.97.105

American Journal of Applied Sciences

Volume 5, Issue 2

Pages 97-105


This paper deals with the control of a class of perfectly modelled linear hybrid systems which consist of two, in general coupled, subsystems one being continuous -time while the second one is digital. Both subsystems are driven by continuous time and sampled values of a control input. The description of the overall system is given through an extended hybrid system , which is purely discrete at sampling instants, which has two , in general, coupled continuous-time and discrete - time substates. The discrete -time substate is jointly defined by the digital substate and the samples of the continuous substate while being driven by the sampled input. The control objective has a double nature and it consists of the achievement of separate continuous-time and discrete-time model- matching objectives with respect to two predefined stable reference models . It is achieved by synthesizing a dynamic hybrid controller consisting of a continuous subcontroller and a discrete one. Each of those controllers has its own control objective.


© 2008 M. De la Sen, J.C. Soto, A. Gallego and J.L. Malaina. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.