Constrained stabilization for a class of nonlinear systems using dynamic surface control

In this paper, a new method to estimate the initial condition set which guarantees the quadratic stability for a class of uncertain nonlinear systems via dynamic surface control (DSC) without control input saturation has been studied. The set can be enlarged to allow some degree of the control input saturation, while preserving the quadratic stability of the system in the domain. An algorithm to obtain ellipsoidal initial condition sets via a linear matrix inequality (LMI) approach as well as an illustrative example will be presented.