A Unifying Integral ISS Framework for Stability of Nonlinear Cascades

Authors:
Murat Arcak;David Angeli;Eduardo Sontag
Affiliations:
-;-;-
Venue:
SIAM Journal on Control and Optimization
Year:
2001

Citing 0
Cited 4

Uniform semiglobal practical asymptotic stability for non-autonomous cascaded systems and applications

Automatica (Journal of IFAC)
Stability of cascaded fuzzy systems and observers

IEEE Transactions on Fuzzy Systems
Robust stabilization of nonlinear cascaded systems

Automatica (Journal of IFAC)
Changing supply rates for input-output to state stable discrete-time nonlinear systems with applications

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.01

Visualization

Abstract

We analyze nonlinear cascades in which the driven subsystem is integral input-to-state stable (ISS), and we characterize the admissible integral ISS gains for stability. This characterization makes use of the convergence speed of the driving subsystem and allows a larger class of gain functions when the convergence is faster. We show that our integral ISS gain characterization unifies different approaches in the literature which restrict the nonlinear growth of the driven subsystem and the convergence speed of the driving subsystem. The result is used to develop a new observer-based backstepping design in which the growth of the nonlinear damping terms is reduced.