Tuning an H-Infinity Controller with a Given Order and a Structure for Interconnected Systems with Delays

Abstract

An eigenvalue based framework is developed for the H-infinity norm analysis and its norm minimization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations (DDAEs). For these equations H-infinity norms are analyzed and their sensitivity with respect to small delay perturbations is studied. Subsequently, numerical methods for the H-infinity norm computation and for designing controllers minimizing the H-infinity norm with a prescribed structure or order, based on a direct optimization approach, are briefly addressed. The effectiveness of the approach is illustrated with a software demo. The chapter concludes by pointing out the similarities with the computation and optimization of characteristic roots of DDAEs.

arXiv commentarXiv admin note: substantial text overlap with arXiv:2003.09252, arXiv:2003.04695, arXiv:2003.05728

References in corpus (5)

• Fixed-order H-infinity control for interconnected systems using delay differential algebraic equations
• Fixed-Order H-infinity Controller Design via HIFOO, a Specialized Nonsmooth Optimization Package
• Characterization and computation of H-infinity norms for time-delay systems
• Fixed-Order H-infinity Optimization of Time-Delay Systems
• Eigenvalue based algorithms and software for the design of fixed-order stabilizing controllers for interconnected systems with time-delays