Discrete‐time sector based hands‐off control for nonlinear system

Abstract : This article presents a hands‐off control design for discrete‐time nonlinear system with a special type of nonlinear sector termed as “discrete‐time urn:x-wiley:rnc:media:rnc4888:rnc4888-math-0004 sector.” The design method to define the boundary of a discrete‐time urn:x-wiley:rnc:media:rnc4888:rnc4888-math-0005 sector is done with control‐Lyapunov function. The generalization of nonlinear system is viewed in the perspective of a comparison function. By means of a proposed sector, a switching control is designed such that no control action is experienced inside the sector thus, saving unnecessary control efforts. However, to study the robustness for discrete‐time system, a hands‐off control is modified to ensure the monotonic decrease in the energy of the system. Finally, the proposed approach is verified with the simulation results.