MODEL REDUCTION OF LINEAR PARAMETER VARYING SYSTEMS BASED ON LINEAR MATRIX INEQUALITIES

• Main Author: Wakhid Musthofa (NIM 20105016), Muhammad
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/6515
• Institution: Institut Teknologi Bandung

ABSTRACT: <br /> <br /> <br /> <br /> <br /> In this thesis, a model reduction for Linear Parameter Varying (LPV) systems based on Linear Matrix Inequalities (LMIs) is studied. Firstly, we derive a theorem that gives sufficient conditions for the existence of the model reduction for LPV systems and by using its solution, the reduced-order model can be obtained. But it is difficult to solve it since the conditions are not convex. A local solution may be obtained by using the alternating projection method. The initial values of the alternating projection method obtained from the balanced truncation method. The quadratic stability of the reduced-order can be guaranted if the full-order system is quadratic stabil. The proposed method is applied to fourth-order LPV system for reducing the system to third and second-order. From the simulation result, we obtain that the bahavior of the reduced-systems are similar to the full-order system