Variable-structure control of nonlinear systems

Abstract A class of nonlinear systems expressed by nonlinear differential equations with uncertain parameters is investigated. The nonlinear model is transformed into a linear model with parameters varying in definite intervals. Variable-structure control in sliding mode is designed. The sliding mode is realized with respect to an auxiliary variable. The theoretical results are proved by computer simulations of the designed variable-structure control in sliding mode for nonlinear fermentation processes.