Title :
On a New Method for
-Based Decomposition
Author :
Nobakhti, Amin ; Wang, Hong
Author_Institution :
Control Syst. Center, Manchester Univ.
Abstract :
This note proposes a simple linear matrix inequality (LMI) system for the design of static precompensators to reduce the interactions of a multivariable system. The approach is based on minimizing the H2 norm of a modified system and the LMIs are derived from the well known technique of pseudodiagonalisation. The approach is applied to two complex real-life benchmark problems with high levels of interaction. It is shown that its performance is significantly better than previously proposed LMI optimization techniques for designing static precompensators
Keywords :
control system synthesis; linear matrix inequalities; multivariable control systems; optimisation; H2-based decomposition; LMI; linear matrix inequality; multivariable system; optimization techniques; pseudodiagonalisation; static precompensators; Automatic control; Computational efficiency; Control system synthesis; Control systems; Educational institutions; Evolutionary computation; Frequency; Optimization methods; Power engineering and energy; Transfer functions; $H_{2}$ optimization; Decentralized control; large-scale systems; linear matrix inequality (LMI); pseudodiagonalisation;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.886512