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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 tex2html_wrap_inline3354 . 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