Robust asymptotic stabilization of nonlinear systems by state feedback
- Resource Type
- Authors
- Laurent Praly; François Poulain
- Source
- Preprints of the 8th IFAC Symposium on Nonlinear Control Systems
8th IFAC Symposium on Nonlinear Control Systems
8th IFAC Symposium on Nonlinear Control Systems, Sep 2010, Bologna, Italy. pp.653-658
- Subject
- 0209 industrial biotechnology
Asymptotic stability
robust stability
PID controller
02 engineering and technology
Nonlinear control
01 natural sciences
[SPI.AUTO]Engineering Sciences [physics]/Automatic
020901 industrial engineering & automation
Exponential stability
Control theory
uncertain dynamic system
0101 mathematics
Mathematics
Plane (geometry)
010102 general mathematics
Process (computing)
non-minimum phase systems
regulation
General Medicine
Nonlinear system
Integrator
forwarding
nonlinear control
Constant (mathematics)
Integral action
- Language
- ISSN
- 1474-6670
International audience; We show that regulation to a constant value of the output of a process can be achieved robustly by designing a stabilizer for a model augmented with an integrator of the output and by having the model dynamics close enough to the process ones. This is nothing but the PI controller paradigm extended to the case of nonlinear systems. We recall also that the forwarding technique is well suited for this particular stabilizer design. Finally we illustrate our result with solving the problem of regulating the flight path angle of the longitudinal mode of a plane.