A mathematical model of a physical system is never perfect; therefore, robust control laws are necessary for guaranteed stabilization of the nominal model and also "nearby" systems, including hopefully the actual physical system. We consider the computation of a robust control law for large-scale finite dimensional linear systems and a class of linear distributed parameter systems. The controller is robust with respect to left coprime factor perturbations of the nominal system. We present an algorithm based on balanced proper orthogonal decomposition to compute the nonstandard features of this robust control law. Numerical results are presented for a convection diffusion partial differential equation.
J. R. Singler and B. A. Batten, "Balanced POD Algorithm for Robust Control Design for Linear Distributed Parameter Systems," Proceedings of the 2010 American Control Conference (2010: June 30 - July 2, Baltimore, MD), Institute of Electrical and Electronics Engineers (IEEE), Jan 2010.
The definitive version is available at https://doi.org/10.1109/ACC.2010.5530909
2010 American Control Conference (2010: June 30 - July 2, Baltimore, MD)
Mathematics and Statistics
Article - Conference proceedings
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