An Improvement of Transient Response of Dynamic Certainty Equivalent Model Reference Adaptive Control System Based on New Smooth Parameter Projection High Order Tuner
An Improvement of Transient Response of Dynamic Certainty Equivalent Model Reference Adaptive Control System Based on New Smooth Parameter Projection High Order Tuner
复制标题
基于新型平滑参数投影高阶调谐器的动态确定性等效模型参考自适应控制系统暂态响应的改进
DOI：
10.9746/jcmsi.6.243
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
K. Itamiya
中科院分区：
文献类型：
--
作者：
M. Sawada;K. Itamiya
在自适应控制系统中经常使用一种特殊的自适应律，这种自适应律能够将自适应控制器的可调参数约束到指定的凸空间（在下文中，这被称为投影自适应律）。特别地，保证可调参数的时间导数或高阶时间导数存在的投影自适应律被称为平滑投影自适应律，并且它用于基于自适应反推方法或动态确定性等效原理的自适应控制系统。在传统的投影自适应律中，为了实现自适应控制器、自适应环的有效估计和鲁棒稳定性，约束凸集为超矩形或超球面。本文提出了新的两个光滑自适应律（高阶调谐器），以改善控制系统的瞬态响应除了常规的约束能力。并提出了利用它们的模型参考自适应控制系统的设计方案。它们可以将可调整的参数约束到hyperplane的内部空间。理论分析和简单的数值仿真结果表明了该方案的有效性。
A special adaptation law which has the ability to constrain adjustable parameters of an adaptive controller to the specified convex space is often used in an adaptive control system (In the following, this is referred to as a projection adaptation law). In particular, the projection adaptation law which guarantees the existence of time derivative or high order time derivatives of adjustable parameters is referred to as a smooth projection adaptation law and it is used for an adaptive control system based on the adaptive back-stepping method or the dynamic certainty equivalent principle. In the conventional projection adaptation law, the convex set to be constrained is a hyper-rectangular or a hyper-sphere in order to accomplish a realization of an adaptive controller, an efficient estimation and robust stability of adaptation loop. This paper indicates new two smooth adaptation laws (high order tuner) to improve the transient response of a control system in addition to the ability of conventional restraint. Also, the authors propose design schemes of a model reference adaptive control system using them. They can constrain adjustable parameters to an internal space of hyperparallelogram. Effectiveness of the proposed scheme is illustrated by the theoretical analysis and simple numerical simulation results.