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Hybrid systems have many applications in automotive, such as
engine, brake and stability control, air traffic control and
manufacturing plant control. The most effective hybrid control
algorithms are based on full state feedback. However, in most
cases, only partial information about the internal state of the
hybrid plant can be measured. Observability is of fundamental
importance to establish the conditions for reconstruction of the
state of a system and has been thoroughly investigated in the
continuous and discrete domain but not for hybrid systems. Written
in a tutorial style, this monograph reviews and places in context
how the continuous and the discrete dynamics, as well as their
interactions, intervene in the observability property of a quite
general class of hybrid systems: linear hybrid systems called
H-systems. It provides a tutorial on hybrid systems observability
in its various forms to students in control and its application as
well as to practitioners in the field.
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