A novel completed LPV controller and observer scheme in order to control nonlinear compartmental systems

Abstract

The purpose of this study is to introduce a novel ”completed” LPV controller and observer design approach for control of particular class of nonlinear systems. The developed tools allow to use classical linear controller design theorems via LPV framework without the advanced Linear Matrix Inequality (LMI) theorems. The developed method combines the classical state feedback theorems and a supplementary controller and observer structure which basis is the special properties of the parameter space of the linear parameter varying (LPV) system. The main benefit of the proposed method is that the controller design does not require highly advanced mathematical tools and high computational capacity. We have proven the usability of the method in case of a highly nonlinear compartmental model. The results have shown that the completed LPV controller is able to handle the system with good performance.