The paper discusses that applying of CNO and IRNO type weighting functions results different TP models, including controller and observer. Selection of weighting functions has influence on the TP model transformation and the LMI based design. Present paper introduces the LMI based observer and controller design of the inverted pendulum via the TP model transformation based method using CNO and IRNO type weighting functions. The TP transformation is accomplished by qLPV modeling and HOSVD method. The paper gives a conclusion and a comparison of the original and estimated state variables and the impact of applying two types of weighting functions. The aim of present paper is to prove that using different type of weighting functions influences the TP models and LMI methods, but LMIs still result feasible solution for controller and observer design. Furthermore the modification allows to choose the better controller/observer.