Negative imaginary synthesis via dynamic output feedback and static state feedback: A Riccati approach

Abstract:

This paper is concerned with the study of strictly negative imaginary (SNI) systems and the problem of synthesizing a controller rendering a linear fractional system SNI. First, a set of necessary and sufficient conditions are developed for an SNI lemma without imposing minimality assumptions. The proposed lemma supports both the analysis and synthesis of SNI systems. Then, a set of sufficient conditions, based on the solution of algebraic Riccati equations, is provided for the solution of the SNI synthesis problem. Finally, an illustrative example demonstrates the usefulness of the results given herein.

Año de publicación:

2019

Keywords:

• Control system synthesis
• Negative imaginary systems
• Algebraic Riccati equations
• Positive real
• output feedback
• Uncertain dynamic systems
• Robust control

Fuente:

scopus

google