Compensator-Based Output Feedback Stabilizers for a Class of Planar Systems with Unknown Structures and Measurements

This note considers the problem of output feedback stabilization for a class of nonlinear planar systems with unknown structures and measurements which prevent the construction of conventional state observers. By taking advantage of the stability-increasing capability of a lead compensator, we propose a dynamic output feedback controller to globally stabilize the uncertain planar systems. For the special case of linear planar systems with unknown coefficients, a finite-time output feedback stabilizer based on a nonlinear compensator is constructed for a faster convergence rate.