Dennis S. Bernstein

Robust controller synthesis via shifted parameter-dependent and quadratic cost bounds

Parametrized Lyapunov bounds and shifted quadratic guaranteed cost bounds are merged to develop shifted parameter-dependent quadratic cost bounds for robust stability and robust performance. Robust fixed-order (i.e., full- and reduced-order) controllers are developed based on new shifted parameter-dependent bounding functions. A numerical example is presented to demonstrate the effectiveness of the proposed approach.

Stable H/sub 2/-optimal controller synthesis

This paper considers fixed-structure stable H/sub 2/-optimal controller synthesis using a multiobjective optimization technique. The problem is presented in a decentralized static output feedback framework developed for fixed-structure dynamic controller synthesis. A quasi-Newton/continuation algorithm is used to compute solutions to the necessary conditions. To demonstrate the approach, a numerical example is considered, which consists of a second-order spring-mass-damper system pulled from the stable stabilization literature. The results are then compared with other methods of stable compensator synthesis.