Data Driven Strategy for Linear Parameter Varying Control Design

Abstract

In this paper, we propose a novel data driven strategy framework for linear parameter varying closed loop system which consists of linear parameter varying system and linear parameter varying controller simultaneously. Firstly, we consider the model based control framework whose controller design is dependent of the considered system. In particular, due to the unknown system and unknown controller, data driven strategy is applied to obtain the system and controller respectively in their nonparametric and parametric forms. Such two different forms are related with system identification, power spectral and numerical optimization,etc. with a choice of the optimal input signal design. Secondly, to avoid the identification process of that system, data driven strategy is modified to design the controller directly from the observed input-output data sequence without providing any priori information on the considered system. We show that various techniques for data driven strategy to identify system or design controller, such as system identification, numerical optimization, power spectral and optimal input design etc within the proposed general framework.

Keywords

• Linear parameter varying system or controller
• data driven strategy
• nonparametric and parametric estimation
• optimal input signal
• power spectral