IEEE Transactions on Automatic Control, Vol.48, No.10, 1793-1798, 2003
A switching algorithm for global exponential stabilization of uncertain chained systems
This note deals with chained form systems with strongly nonlinear unmodeled dynamics and external disturbances. The objective is to design a robust nonlinear state feedback law such that the closed-loop system is globally kappa-exponentially stable. We propose a novel switching control strategy involving the use of input/state scaling and integrator backstepping. The new features of our controllers include the ability to achieve Lyapunov stability, exponential convergence, and robustness to a set of uncertain drift terms.
Keywords:backstepping;chained form systems;exponential stabilization;input-state scaling;Lyapunov stability;robustness