In this study, a novel sliding mode control (SMC)-based strategy is proposed for the constrained control and synchronization of second-order uncertain chaotic systems subject to external disturbances. The main contribution lies in the introduction of safe sliding manifolds, which enable the system to fulfill state constraints by ensuring that its trajectories avoid entering predefined forbidden regions. By surrounding these unsafe regions with multiple safe manifolds, a robust switching control law is developed to achieve chaos stabilization, regulation, and synchronization, all while strictly enforcing the safety constraints. Extensive simulation results demonstrate the high performance of the controller and validate its potential for real-world applications involving constrained chaotic dynamics.
