Low Order Controller Synthesis for Interval System

This brief considers the problem of controller synthesis for interval system using the method of order reduction technique and model matching concept. The order reduction is accomplished by using the combined benefits of approximate generalized time moment (AGTM) matching and optimization procedure. Luus-Jaakola (LJ) optimization procedure is used for minimizing the performance index subject to the constraints. Using this method, controller of any order can be obtained with guaranteed stability and performance. The illustrated example demonstrates the effectiveness of the projected method.