H-infinity CONTROL PROBLEM FOR DISCRETE-TIME ALGEBRAIC DYNAMICAL SYSTEMS

摘要

This paper considers the suboptimal H-infinity control problem for linear discrete-time algebraic dynamical systems. Such systems can be formally described as linear and time-invariant discrete-time systems, whose transfer function matrix is allowed to be improper or polynomial. The parametrization of output feedback controllers is given in a realization-based setting involving two generalized algebraic Riccati equations and features the same elegant simplicity of the standard (proper) case. Two relevant numerical examples prove the effectiveness of our approach.