Decentralized Model Reference Adaptive Control problems are investigated for a class of linear time-invariant two time-scale model, having fast and slow dynamics and unmatched interconnections. Design of full state feedback controller is a critical task to the system having interrelated dynamics and nonlinear interconnections of time varying lags, however, can be addressed by singular perturbation procedures and time scale modeling. In this research, full order observer-based state feedback control is designed to two-time scale system to ensure the stability of the closed loop system. Then, decentralized model reference adaptive controller with the novel reference model is designed to individual subsystems. It is found that the proposed design enforces the system states to track the reference state asymptotically. To investigate the proposed design, an example of drying process is considered. Simulation results are analyzed to confirm the efficacy of the proposed control scheme.

中文翻译：

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非线性大规模系统的自适应分散跟踪控制

研究了一类线性时不变两时标模型的分散模型参考自适应控制问题，该模型具有快慢动力学和不匹配的互连。全状态反馈控制器的设计对于具有相互关联的动力学和时变滞后的非线性互连的系统来说是一项关键任务，然而，可以通过奇异扰动程序和时间尺度建模来解决。本研究针对二时间尺度系统设计了基于全阶观测器的状态反馈控制，以保证闭环系统的稳定性。然后，针对各个子系统设计了具有新颖参考模型的分散模型参考自适应控制器。发现所提出的设计强制系统状态渐近跟踪参考状态。为了研究所提出的设计，我们考虑了一个干燥过程的例子。对仿真结果进行分析，以确认所提出的控制方案的有效性。