Compensators for singular control systems with small delays in outputs
Henríquez, Hernán R.
Castillo, Genaro A.
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.