Static Output Feedback in an Anisotropic Norm Setup Revisited

TL;DR

This paper revisits static output feedback controller synthesis within an anisotropic norm framework, proposing an iterative convex optimization approach that balances control performance and feedback gains, demonstrated on a flight control problem.

Contribution

It introduces a tractable iterative method for static output feedback synthesis in the anisotropic norm setting, extending existing H-infinity techniques.

Findings

The method effectively balances response and feedback gains.

Application to flight control demonstrates practical utility.

Duality between control and filtering LMIs is exploited.

Abstract

The synthesis problem of static output feedback controllers within the anistropic-norm setup is revisited. A tractable synthesis approach involving iterations over a convex optimization problem is suggested, similarly to existing results for the Hinfinity-norm minimization case. The results are formulated by a couple of Linear Matrix Inequalities coupled via a bilinear equality, revealing, as in the Hinfinity case, the duality between the control-type and filtering type LMIs and allowing a tractable iterative method to cope with practical static output feedback synthesis problems. The resulting optimization scheme is then applied to a flight control problem, where the merit of the anisotropic norm setup is shown to provide a useful trade-off between closed loop response and feedback gains.