Adaptive Backstepping Sliding Mode Design for TCSC

Based on a nonlinear second-order model for a single-machine infinite-bus system with TCSC, two kinds of nonlinear controller were designed using backstepping sliding mode methods. With backstepping sliding mode, the origin nonlinear system doesn´t need to be linearized and the closed-loop error system is guaranteed to be asymptotically stable. When damping coefficients can´t be measured inaccurately, a dynamic feedback controller can be designed using adaptive backstepping sliding mode containing the real-time estimation of uncertainty parameter. The design procedure reveals that the controller designed by backstepping sliding mode method has good performances and robustness