Synthesis of H/sup infinity / controllers based on conjugation

• Published in: Proceedings of the 27th IEEE Conference on Decision and Control pp. 7 - 13 vol.1
• Main Authors: Kimura, H., Kawatani, R.
• Format: Conference Proceeding
• Language: English; Japanese
• Published: IEEE 06.01.2003
• Subjects: Artificial intelligence; Control system synthesis; Controllability; Eigenvalues and eigenfunctions; Equations; H infinity control
• DOI: 10.1109/CDC.1988.194260

The authors consider the state-space characterization of the model-matching problem in H/sup infinity /. A simple characterization of the solutions is derived in the most general form, which covers the four-block problem, based on the notion of J-lossless conjugation. The derivation is elementary, simple, and straightforward, and it demonstrates that conjugation is a powerful tool for treating the model-matching problem in its most general form. The results are applied to the H/sup infinity / control problem to yield a simple controller with order identical to that of the plant order. The controller and the closed-loop system obtained do not depend on the selection of the stabilizing matrices used for obtaining the comprime factorization.< >