A New Algorithm for Searching Reciprocal Matrices in LMI Based Control Design

Authors:	Kogan Mark, Architecture and Civil Engineering University, Russian Federation Balandin Dmitry, Nizhny Novgorod State University, Russian Federation
Topic:	2.2 Linear Control Systems
Session:	Analysis and Synthesis of Linear Control Systems I
Keywords:	reduced-order output controller, linear matrix inequalities, reciprocal matrices

Abstract

This paper deals with a new heuristic algorithm for reduced-ordercontrol problems using linear matrix inequalities.The algorithm is implemented in MATLABas an iterative procedure on each iteration of which the problemof minimizing a linear function under LMI constraints is solved.The convergence of this procedure is proved. Numerical resultsfor an inverted pendulum are given.