Observer-based Multirate Feedback Control Design for Two-time-scale System  

作　　者：Ravindra Munje Wei-Dong Zhang 

机构地区：[1]Department of Electrical Engineering,K.K.Wagh Institute of Engineering Education and Research,Nashik 422003,India [2]Department of Automation,Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《International Journal of Automation and computing》2021年第6期1007-1016,共10页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China (No. 61750110524);National Key R&D Program of China (No. 2017YFE0128500)。

摘　　要：The use of a lower sampling rate for designing a discrete-time state feedback-based controller fails to capture information of fast states in a two-time-scale system, while the use of a higher sampling rate increases the amount of computation considerably. Thus,the use of single-rate sampling for systems with slow and fast states has evident limitations. In this paper, multirate state feedback(MRSF) control for a linear time-invariant two-time-scale system is proposed. Here, multirate sampling refers to the sampling of slow and fast states at different sampling rates. Firstly, a block-triangular form of the original continuous two-time-scale system is constructed. Then, it is discretized with a smaller sampling period and feedback control is designed for the fast subsystem. Later, the system is block-diagonalized and equivalently represented into a system with a higher sampling period. Subsequently, feedback control is designed for the slow subsystem and overall MRSF control is derived. It is proved that the derived MRSF control stabilizes the full-order system. Being the transformed states of the original system, slow and fast states need to be estimated for the MRSF control realization.Hence, a sequential two-stage observer is formulated to estimate these states. Finally, the applicability of the design method is demonstrated with a numerical example and simulation results are compared with the single-rate sampling method. It is found that the proposed MRSF control and observer designs reduce computations without compromising closed-loop performance.

关 键 词：Feedback control multirate sampling sequential observer two-stage design two-time-scale system 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]