Parallel eigenstructure assignment via LQR design and genetic algorithms

Abstract

Eigenstructure assignment difficulties through linear quadratic regulator (LQR) control designs are associated to the weighting matrices Q and R determination for the algebraic Riccati equation (ARE), whose solutions give the controller K gains, that are able to assign specified eigenvalues and eigenvectors. This work proposes a methodology to solve these difficulties, and based on it and on parallel hybrid genetic algorithms and parallel solutions of the LQR problems, an efficient approach is also developed. Finally, the controller performance is verified on an aircraft model.