TP Transformation Based Observer and Controller Design of 2DoF Aeroelastic Wing Section Model

Abstract

This paper presents a Tensor Product (TP) model based observer and controller design via Linear Matrix In-equality (LMI) method of 2DoF aeroelastic wing section model. The transformation is based on the Higher Order Singular Value Decomposition HOSVD methodology and the generated linear time-invariant (LTI) vertex systems describe the nonlinear model. The aim of the paper is to investigate that selecting and varying the transformation space and weighting functions have influence on the feasibility regions of LMI based observer and controller. The paper gives a comparison between the controller and observer performance. The proposed method results globally asymptotically stable system, and the LMI gives feasible solution for the observer and controller design if the transformation space and weighting functions are selected adequately.