Performance analysis of resilient dynamic feedback H2 controllers

In this work, a procedure is presented for performance analysis of the resilience and H₂ property of continuous-time systems controlled by full-order dynamic feedback compensators. The resilience property is defined in terms of perturbations on both the controller and observer gains that will maintain controller and observer eigenvalues in disjoint vertical strips in the complex plane. Maximum gain perturbation bounds can be obtained based on the designer´s choices of controller and observer eigenvalue regions and the resulting H₂-norm bound is calculated. The linear matrix inequality technique is used throughout the analysis process. Illustrative examples are included to demonstrate the effectiveness of the proposed methodology.