Relative Sensitivity Matrices for Closed-Loop Interaction Analysis and Control Structure Synthesis

Abstract

All possible interactions in the closed-loop system are rigorously analyzed. Based on the analysis, new interaction measures—Type I and Type II Relative Output Sensitivity Matrices (ROSM) and Type I and Type II Relative Input Sensitivity Matrices (RISM)—which can measure corresponding actual interactions in the closed-loop system are presented. These new interaction measures can be used to assess directly the true closed-loop performance. A systematic methodology using the new interaction measures is proposed for analysis and synthesis of decentralized control systems. Examples are presented to illustrate the significance and usefulness of the proposed method.