Cost detectability and stability of adaptive control systems

作者：R. Wang, A. Paul, Margareta Stefanovic, Michael G. Safonov · 发表于：International Journal of Robust and Nonlinear Control · 年份：2006 · DOI：10.1002/rnc.1122 · 被引用次数：110 · 研究领域：Control Systems and Identification、Advanced Control Systems Optimization、Adaptive Control of Nonlinear Systems

Abstract Hysteresis switching adaptive control systems designed using certain types of 𝔏 2𝔢 ‐gain‐type cost functions are shown to be robustly stabilizing if and only if certain plant‐independent conditions are satisfied by the candidate controllers. These properties ensure closed‐loop stability for the switched multicontroller adaptive control (MCAC) system whenever stabilization is feasible. The result is a safe adaptive control system , which has the property that closing the adaptive loop can never induce instability provided only that at least one of the candidate controllers is capable of stabilizing the plant. Copyright © 2006 John Wiley & Sons, Ltd.