Quantum mechanics

Sampled data systems

Control (management)

Output feedback

Nonlinear control

Engineering

Biology

Control system

Control engineering

Computer science

Controller (irrigation)

Physics

Nonlinear system

Homogeneous

Trajectory

Mathematics

Astronomy

Agronomy

Econometrics

Unobservable

Artificial intelligence

Observer (physics)

Combinatorics

Control theory (sociology)

Class (philosophy)

Feedback control

Electrical engineering

Automatica

This paper investigates the global asymptotical stabilization using sampled-data output feedback (i.e., not all state information is available at the output) for a class of nonlinear systems which have uncontrollable and unobservable linearizations around the origin. A homogeneous version of Gronwall–Bellman inequality is introduced as the essential tool to estimate trajectory of nonlinear sampled-data control systems between two successive sampling instants. With the help of this new tool as well as the homogeneous domination approach, a sampled-data observer-based controller is constructed to globally asymptotically stabilize the origin of the nonlinear system under a homogeneous growth condition.

Global sampled-data output feedback stabilization for a class of uncertain nonlinear systems