Dr. Simon Lam

B.A.Sc. (2003), M.A.Sc. (2005), Ph.D. (2010), University of Toronto, Canada.

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The real DFM radius and minimum norm plant perturbation for general control information flow constraints

Simon Lam and Edward J. Davison

Abstract

The real decentralized fixed mode radius measures how "near" a decentralized LTI system is from having a decentralized fixed mode (DFM) present. In this paper, some properties of the real DFM radius are discussed, a procedure for computing the actual system parametric perturbations that achieve the real DFM radius is presented, and the real DFM radius is extended to deal with structured perturbations and general information flow constraints. A study of applying the radius to determine how to pair system inputs and outputs to obtain a robust decentralized control system structure with respect to parametric perturbations is also presented.