On the relative observability of a linear system.
onrelativeobserv00marq.pdf (5.065Mb)Abstract
The problem of identification of essential states is considered, leading to the
definition of the concept of relative observability. Two analytical methods and two
graphical methods to evaluate the relative degree of observability of a linear time-invariant
system are presented and three algorithms are derived to rapidly evaluate the
relative degree of observability for high order systems. Numerical examples are tested
using a computer program. An approach for improving the degree of observability of a
specific state variable is proposed for the single output regulator problem, multi-output
servo and regulator problems. The improvement algorithm is tested on a single output
regulator problem.
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