Robust control of systems with hyperbolic partial differential equations

TL;DR

This paper explores methods to apply $H_ abla$-control techniques to systems modeled by hyperbolic partial differential equations, addressing challenges with non-sectorial pole patterns.

Contribution

It introduces strategies for implementing $H_ abla$-control in hyperbolic PDE systems with complex pole configurations, expanding control theory applications.

Findings

Developed control strategies for hyperbolic PDE systems

Extended $H_ abla$-control techniques to non-sectorial pole patterns

Provided theoretical framework for robust control in PDE systems

Abstract

We discuss strategies to bring $H_\infty$-control techniques into play when the system dynamics are modeled by hyperbolic partial differential equations, or more generally, by systems with non-sectorial pole pattern.