Title: Survey and tutorial on multiple model methodologies in modelling, identification and control

Authors: Weicun Zhang; Li Zhao

Addresses: School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China ' National Engineering Research Centre of Advanced Rolling, University of Science and Technology Beijing, Beijing 100083, China

Abstract: Multiple model methodology is an important approach in modelling, identification and control of complicated systems with large uncertainties (parameter uncertainty or even model structure uncertainties). It agrees with the idea of 'divide and conquer' in solving engineering problems. There are two representative strategies with scheduling the multiple models, i.e., switching strategy and weighting strategy. Theses two strategies can be alternatively viewed as 'identification' of correct model/controller. Consequently, any reasonable control system design methods can be incorporated with switching or weighting methodology to formulate robust and adaptive control schemes. This survey paper gives a brief historical review of the development of multiple model adaptive estimation (MMAE) and multiple model adaptive control (MMAC), then moves focus onto the new progress of weighted MMAC (WMMAC) that has emerged in recent years including the weighting algorithm and stability analysis of WMMAC systems, based on virtual equivalent system (VES) theory.

Keywords: multiple model adaptive estimation; MMAE; multiple model adaptive control; MMAC; stability; convergence; weighting algorithm; virtual equivalent system; VES.

DOI: 10.1504/IJMIC.2019.101955

International Journal of Modelling, Identification and Control, 2019 Vol.32 No.1, pp.1 - 9

Received: 15 Aug 2018
Accepted: 15 Aug 2018

Published online: 02 Sep 2019 *

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