ANZIAM J.
46 (2004), 67-77
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Singular perturbation methods for a class of initial and boundary value problems in multi-parameter classical digital control systems
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Abstract
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A stable linear time-invariant classical digital
control system with several widely different
small coefficients multiplying the lowest
functions is considered. It is formulated as a
multi-parameter singularly perturbed system.
Perturbation methods are developed for both
initial and boundary value problems based on
asymptotic expansions of the perturbation
parameters. The approximate solution consists of
an outer solution and a number of boundary layer
correction solutions equal to the number of
initial conditions lost in the process of
degeneration. An example is provided for
illustration.
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