Nonlinear control providing the plant inputs and outputs in given sets

Abstract

The paper considers the design of a novel control law that guarantees to find inputs and outputs in given (prescribed) sets. The proposed method is based on two coordinate changes. The first coordinate change transforms the output variable into a new one whose dimension is equal to or less than the dimension of the input. The second coordinate change transforms a constrained control problem into an unconstrained one. The proposed method is obtained to the solution of two tasks. A state feedback control is considered for sector-bounded nonlinear systems with state and input constraints. An output feedback control is proposed for multi-input and multi-output sector-bounded nonlinear systems with input and output constraints. The simulations confirm the theoretical results and illustrate the efficiency of the proposed method.