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Hierarchical Hybrid Control Systems

*E. Lemch, P.E. Caines*
Many complex control systems in engineering, such as air traffic management
systems, complex robotic systems, and intelligent highway systems, have
a hierarchical-hybrid nature in the sense that at a low level they can
be characterized by systems with discrete and continuous states, and at
a high level they are organized as a discrete supervisory system. In this
work a hybrid (base) system is modelled via a state space which is the
direct product of a discrete state space and a continuous state space,
together with continuous and discrete dynamics and controls. Based upon
previous work of Y-J. Wei and P.E. Caines the notion of dynamical consistency
is extended to hybrid systems so as to define the hybrid partition machines
associated with a system
. This then permits the development of a control theory and associated
algorithms for the design and operation of hierarchical control systems
for complex hybrid systems.

*Annual Report*

*Fri Nov 26 23:00:32 GMT 1999*