Continuous Feedback Control Design for a Class of Singular High-Order Nonlinear Systems

Abstract

nherently nonlinear systems may not be stabilized, even locally by any smooth feedback but continuously stabilizable. This paper studies the design of continuous state feedback controllers for a class of singular high order non-linear systems. A systematic design method which combines backstepping theory with the idea of adding a power integrator is presented for globally stabilizing controllers of this class of systems.