Design of decentralized robust load-frequency controller based on SVD method (Q1964008)

The authors propose a design procedure for robust stabilization of large scale uncertain systems using decentralized linear controllers whose gains are found by the solution to an augmented algebraic Riccati equation. This equation reduces to an ordinary Riccati equation for a system without uncertainty. The design parameters included in the augmented Riccati equation to ensure robustness for parametric uncertainty are chosen in some trial and error process. The structured uncertainties are represented by bounds imposed on some parameters resulting from the rank one type decomposition of the system parameter variations. To choose the rank one representation of uncertainty, the authors propose to use the singular value decomposition (SVD) of parameters which are involved in the Riccati equation. The stability of the closed loop system resulting from the design procedure is proved using Lyapunov stability theory. The effectiveness of the proposed technique is illustrated by a numerical example in which a two-area interconnected power system with the load-frequency control is considered.