关联大系统的分散自适应控制：孤立子系统动力学已知情况

On Decentralized Adaptive Control of Interconnected Systems with a priori Knowledge of Isolated Subsystems

中文关键词  关联大系统  ；分散自适应控制；状态调节；模型跟踪；多输入多输出

英文关键词  interconnected systems  decentralized control  adaptive control  regulation  model tracking

中文摘要

      本文研究了一类关联大系统的分散自适应控制问题，拓广了分散自适应控制的应用范围。在孤立子系统（MIMO）动力学信息已知，关联强度未知的情况下，论文提出了结构相当简单的分散自适应控制策略。它可保证闭环的分散自适应控制系统具有良好的动力学行为：系统的所有信号都全局有界，进一步，在状态调节情况下，关联大系统状态趋向于零；在模型跟踪情况下，跟踪误差可以通过控制器的设计使之任意小。

英文摘要

      The paper presents some decentralized adaptive control schemes for a wide class of interconnected systems with a priori knowledge on isolated subsystems. The use of these schemes has proved to successfully relax the constraints on the structure of the interconnections, thereby widening the application area of decentralized adaptive control. The resulting adaptive control systems are stable in the sense that the state of the interconnected system goes to zero in the case of regulation, and all signals are globally ultimately bounded in the case of model-tracking regardless of the size of the interconnections. The adaptive control schemes will automatically adjust the adaptation gain to neutralize the interconnections, and force the state of the interconnected system to go to zero or to track the state of the reference model. Qualitatively, the steady- state tracking error can be made arbitrarily small by adjusting the design parameters. The a priori knowledge benefits us in two ways. First, it enables us to implement very simple decentralized adaptive controller, in which only one adapted parameter per subsystem is necessary. Secondly, we are now able to deal with MIMO subsystems without any further difficulties.