Nonlinear Pseudo State-Feedback Controller Design for Affine Fuzzy Large-Scale Systems with H_infinity Performance

This paper treats robust controller design for
Affine Fuzzy Large-Scale Systems (AFLSS) composed of
Takagi–Sugeno-Kang type fuzzy subsystems with offset
terms, disturbances, uncertainties, and interconnections.
Instead of fuzzy parallel distributed compensation, a
decentralized nonlinear pseudo state-feedback is developed
for each subsystem to stabilize the overall AFLSS. Using
Lyapunov stability, sufficient conditions with low codemputational
effort and free gains are derived in terms of
matrix inequalities. The proposed controller guarantees
asymptotic stability, robust stabilization, and H_infinity control
performance of the AFLSS. A numerical example is given
to illustrate the feasibility and effectiveness of the proposed
approach.