Robust fixed-structure controller synthesis using the implicit small-gain bound

In this paper we explore the applicability of the implicit small-gain guara nteed cost bound for controller synthesis. For flexibility in controller sy nthesis, we adopt the approach of fixed-structure controller design which a llows consideration of arbitrary controller structures, including order, in ternal structure, and decentralization. A numerical example that has been a ddressed in the literature by means of alternative guaranteed cost bounds i s presented to demonstrate the fixed-structure/implicit small-gain approach to robust controller synthesis. (C) 2000 The Franklin Institute. Published by Elsevier Science Ltd. All rights reserved.