Guaranteed Output Bounds Using Performance Integral Quadratic Constraints

This paper adopts the dissipativity approach to robustness analysis using integral quadratic constraints (IQCs). The nominal part of the uncertain system is a discrete-time, linear time-varying system. Generalized performance criteria are defined using time-domain IQCs. The derived robust performance theorem allows for incorporating available knowledge about the disturbance sets by means of signal IQCs. A novel way to compute point-wise bounds on the performance outputs is proposed. The developed results are illustrated by examples.