COMPENSATORS FOR SINGULAR CONTROL SYSTEMS WITH DELAYS IN OUTPUTS

Abstract

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(θ) = ᵩ(θ), - r ≤ θ ≤ 0.