Singular perturbation analysis of cheap control problem for sampled data systems

This paper studies the discrete-time cheap control problem for sampled data systems using the theory of singular perturbations. It is shown, by using the two time-scale property of singularly perturbed systems, that the probl em can be solved in terms of two reduced-order subproblems for which comput ations can be done in parallel, thus increasing the computational speed. Si milarly to the continuous-time case, the singular perturbation approach ena bles the decomposition of the algebraic Riccati equation into two reduced-o rder pure-slow and pure-fast continuous-time algebraic equations.