Sliding Mode Control for Strict-Feedback Nonlinear Impulsive Systems With Matched Disturbances

In this brief, a novel gain-scaling-based sliding mode control (SMC) strategy is proposed for a class of strict-feedback nonlinear impulsive systems with matched time-varying disturbances. First, by constructing gain-scaling-based state transformation, the original systems are transformed into new equivalent systems. Second, by designing a suitable sliding surface and applying the average impulsive interval technique, a novel SMC strategy is delicately proposed to counteract the essential difficulties caused by impulsive disturbances and matched time-varying disturbances. It is shown that under the proposed control strategy, the system states can reach and maintain on the sliding surface and exponentially converge to the origin. Finally, a practical example of controlled Chua’s circuit verifies the effectiveness of the control strategy.