Global stabilization of nonlinear cascade systems
Systems & Control Letters
Passivity properties for stabilization of cascaded nonlinear systems
Automatica (Journal of IFAC)
Adding an integrator for the stabilization problem
Systems & Control Letters
Homogeneous Lyapunov function for homogeneous continuous vector field
Systems & Control Letters
Finite-Time Stability of Continuous Autonomous Systems
SIAM Journal on Control and Optimization
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Technical communique: Stabilization via homogeneous feedback controls
Automatica (Journal of IFAC)
Technical Communique: Global stabilization by output dynamic feedback for triangular systems
Automatica (Journal of IFAC)
Brief Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems
Automatica (Journal of IFAC)
Global finite-time stabilization of a class of uncertain nonlinear systems
Automatica (Journal of IFAC)
Hi-index | 22.14 |
A global nonsmooth stabilization scheme is presented for a class of nonlinear cascaded systems with uncontrollable linearization. A stepwise constructive control methodology is proposed for the driving subsystem by using the adding a power integrator technique. Under suitable conditions and based on homogeneous properties, it is proved that the stabilization of the driving subsystem implies the stabilization of the overall cascaded system. Due to the versatility of the adding a power integrator technique and homogeneous properties, the proposed controller not only can be used to stabilize the cascaded system asymptotically, but also is able to lead to an interesting result of finite-time stabilization under appropriate conditions.