Decentralized HINF controller design for nonlinear systems

Abstract

Considering a nonlinear system ∑ described by a specified system of equations for i=1,...q where x ∈ X ⊂ Rn with 0 ∈ Rn is the state; ui ∈ Rm(i) local control; yi ∈ Rp(i) local measurement; w0 and wi's square-integrable disturbances; and z regulated output. The functions f(x), g1(x), h1(x), g2i(x) and h2i(x) (i = 1, ···, q) are all known and smooth in X with f(0) = 0, h1(0) = 0 and h2i(0) = 0 (i = 1, ···, q). A Decentralized H∞ Controller Design (DHCD) was evaluated to find the controllers of the form qq given the system of ∑ of (1)-(3) and a positive constant γ. A design method for local observer gains Li(ξi) (i = 1, ···, q) was presented to the nonlinear matrix inequality.