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Hierarchical Hybrid Control Systems

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. Recent work has extended this work to the case
of systems subject to disturbances.
*E. Lemch, P.E. Caines*

*Annual Report*

*Mon Jun 26 21:22:20 GMT 2000*