On ?∞, robust stability and performance with ?2 and ?∞ perturbations |
| |
| Authors: | Mohammed Dahleh Alexandre Megretski Bassam Bamieh |
| |
| Affiliation: | aDepartment of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA 93106, USA;bElectrical Engineering and Computer Engineering, Iowa State University, Ames, IA 50011, USA;cCoordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA |
| |
| Abstract: | In this paper we will consider systems with linear time-invariant perturbations. We will analyze robust performance in the ?2 and ?∞ settings. The ?2 setting gives rise to the familiar case of structured singular values, and a stability criterion is given by the “small μ” theorem. We show that although the necessary and sufficient criterion of robust stability for the ?∞ case (?∞ stability with structured ?∞-gain bounded perturbations) is the same “small μ” criterion, a system with ?2-gain bounded perturbations is never ?∞ stable. |
| |
| Keywords: | Stability analysis Robust stability Robust performance |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
