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We show that the open-loop transfer functions and the stability margins may be defined within the recent model-free control setting. Several convincing computer experiments are presented including one which studies the robustness with respect to delays.
In this paper the optimal control problem for linear time-varying systems with delay in the control input is investigated, in the time-continuous framework. This note aims to propose a different functional approach, whose versatility could result successful in applying it to the case of time-varying delays. The optimal solution at the current time t is proven to be a feedback from the state of the...
In this paper, a sufficient condition for robust exponential stability with respect to small delays is obtained. As applications, an example is discussed.
The robustness with respect to small delays for exponential stability of a class of infinite-dimensional linear dynamical system with unbounded delay operator is studied in Banach space. In terms of the theory of fundamental operator family and the theory of operator-valued Fourier multipliers, a frequency-domain characterization for the robust exponential stability with respect to small delays is...
The robust servomechanism problem, which is to design a stabilizing controller such that the system output robustly tracks a given reference signal in the presence of certain disturbances, is considered for linear time-invariant time-delay systems of retarded type with discrete delays. The reference and the disturbance are assumed to satisfy a constant-coefficient linear delay-differential equation...
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