Stable H-2-optimal controller synthesis

This paper considers fixed-structure stable H-2-optimal controller synthesi s using a multiobjective optimization technique which provides a trade-off between closed-loop performance and the degree of controller stability. The problem is presented in a decentralized static output feedback framework d eveloped for fixed-structure dynamic controller synthesis. A quasi-Newton/c ontinuation algorithm is used to compute solutions to the necessary conditi ons. To demonstrate the approach, two numerical examples are considered. Th e first example is a second-order spring-mass-damper system and the second example is a fourth-order two-mass system, both of which are considered in the stable stabilization literature. The results are then compared with oth er methods of stable compensator synthesis. Copyright (C) 2000 John Wiley & Sons, Ltd.