Adaptive control for H_∞ tracking of uncertain dynamical systems

Distributed adaptive control for H∞ tracking of uncertain interconnected dynamical systems

“…For example, a paper 7 considers a distributed adaptive control for large‐scale systems, where boundedness of the internal signals is investigated, while any performance guarantee related to nominal tracking is not provided. In this regard, the authors of the present paper evaluate the performance degradation caused by adaptation in terms of the performance index which is used for designing the reference model as LQ optimal tracking 10 . Here, an appropriate selection of control input which incorporates the evaluation of performance degradation is needed so that the tracking error is minimized for the nominal system and an explicit error bound of the optimal tracking is obtained.…”

“…This paper follows this line of research 10 . We focus on a class of interconnected dynamical systems that is characterized by sets of uncertain dynamics with an unknown physical interconnection between these dynamics.…”

“…A preliminary version of this paper was presented at a conference, 14 where an adaptive $$$ {H}_{\infty } $$$ tracking of a single plant is considered for a step‐type reference signal. On the other hand, the present paper deals with a distributed adaptive $$$ {H}_{\infty } $$$ tracking of an interconnected system for a general reference signal, which clarifies a possible performance guarantee for a type of adaptive control law.…”

“…In this regard, the authors of the present paper evaluate the performance degradation caused by adaptation in terms of the performance index which is used for designing the reference model as LQ optimal tracking. 10 Here, an appropriate selection of control input which incorporates the evaluation of performance degradation is needed so that the tracking error is minimized for the nominal system and an explicit error bound of the optimal tracking is obtained.…”

“…This paper follows this line of research. 10 We focus on a class of interconnected dynamical systems that is characterized by sets of uncertain dynamics with an unknown physical interconnection between these dynamics. Specifically, we propose a distributed adaptive control for realizing a robust tracking of uncertain dynamical systems.…”