Abstract
This paper discusses dissipative control for discrete-time systems and provides a design method for a controller to ensure specified stability margins (e.g. gain and phase margins). The paper extends an existing continuous-time dissipative control into the discrete-time case, with emphasis on quadratic dissipativeness of the loop-transfer function. Such dissipativeness ensures that the feedback system has a robust stability against some class of simultaneous perturbations on gain and phase inserted into the feedback loop. The class is characterized according to the metric Q of quadratic dissipativeness. It is shown that the Q can be suitably selected from specified gain and phase margins and if the loop-transfer function is quadratic dissipative with the Q then specified stability margins are ensured.
