Sliding-Mode Control Variations

The purpose of this paper is to present a framework in which high-order control variations are employed in sliding mode control to modify the sliding dynamics and/or reduce the dimension of the sliding surface. Control variations are implemented as sampled data feedback controllers with the variations generated during the sample intervals. This approach can greatly simplify nonlinear controller design and achieve asymptotic or practical stabilization for systems which fall outside the scope of the standard treatment of sliding mode control