On discrete-time H/sup infinity / control: a J-lossless coprime factorization approach

A relatively simple approach, based on chain scattering descriptions, to the synthesis of discrete-time controllers that result in a cost function with H/sup infinity / norm strictly less than a prespecified bound is presented. The approach relies on a J-lossless numerator and a conjugate J-lossless denominator. The approach also gives a connection at the transfer function level between three algebraic Riccati equations that are associated with the solution of a discrete-time H/sup infinity / control problem. The derivation is carried out in terms of transfer function matrices, although the final formulas are in state space.<
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