On the relative observability of a linear system.
Marques, Antonio Jose Gameiro
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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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