ROBUST-CONTROL OF MULTIVARIABLE 2-TIME-SCALE NONLINEAR-SYSTEMS

This paper focuses on the synthesis of well-conditioned multivariable robust controllers for a broad class of multi-input multi-output two-t ime-scale nonlinear systems with time-varying uncertain variables, mod elled within the framework of singular perturbations. The proposed con troller stabilizes the fast dynamics, guarantees boundedness of trajec tories, and ensures that the ultimate discrepancy between the outputs and the external reference inputs in the closed-loop system can be mad e arbitrarily small by an appropriate choice of controller parameters, provided that the singular perturbation parameter is sufficiently sma ll. The developed control method is tested, through simulations, on a fluidized catalytic cracking reactor. (C) 1997 Elsevier Science Ltd.