Compensators for singular control systems with small delays in outputs
DOI:
https://doi.org/10.22199/S07160917.1998.0001.00003Keywords:
Singular Control Systems, Asymptotic Observators, Asymptotic Compensators, Asymptotic RegulatorsAbstract
In this paper we study the design of dynamic compensators for linear singular control systems described by the equation Ex' ( t) = Ax(t) + Bu(t) with time delayed observed output y(t) = Cx(t- r).
The proposed compensators are applied to solve the regulator problema for the mentioned systems with controlled output z(t) = Dx(t). We also establish a result of existence of exponentially bounded solutions of the retarded singular differential equation Ex' ( t) = Ax(t) + Rx(t-r) + f(t), t > 0, with initial condition x(?) = ?(?), - r ? ? ? 0.
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