Robust control system design for sampled-data feedback systems

In this paper, we consider an optimization problem for sampled data control systems in the sense of the L 2 induced norm of the linear operator with continuous-time inputs and outputs. The problem is a worst case design and a counterpart of the H ∞-optimization problem for purely continuous-time or discrete-time systems. Hence, it can be applied to the robust controller design taking account of the intersample behavior for sampled-data feedback systems. We show that the optimization problem for a 4-block generalized continuous-time plant with a digital controller can be solved with a γ-iteration on a certain discrete-time 4-block plant which depends on γ. The computation algorithm with three exponentiations is also derived.

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