Variable Structure Control for Hybrid System with Sliding Sector

摘要

This paper proposes a variable structure controller with sliding sector for hybrid systems. The sliding sector is defined as a subset of the state space inside which a norm of the state decreases. A sliding sector is designed for each subsystem of the hybrid system so that each state in the state space is inside at least one sliding sector with its corresponding subsystem. Then the variable structure control law is designed to switch the hybrid system among subsystems to ensure the decrease of the norm in the state space. The resulted VS control system is quadratically stable as there exists a Lyapunov function which decreases in the state space. Simulation results are given to show the efficiency of the proposed VS controller.