Asymptotic regulation of minimum phase nonlinear systems using output feedback

We consider a single-input/single-output (SISO) nonlinear system which has a well-defined normal form with asymptotically stable zero dynamics. We allow the system's equation to depend on constant uncertain parameters and disturbance inputs which do not change the relative degree. Our goal is t...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1996-10, Vol.41 (10), p.1402-1412
Main Authors: Mahmoud, N.A., Khalil, H.K.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control systems
Control theory. Systems
Error correction
Exact sciences and technology
Integral equations
Linear systems
Nonlinear dynamical systems
Nonlinear equations
Nonlinear systems
Output feedback
Robust control
Servomechanisms
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Summary:We consider a single-input/single-output (SISO) nonlinear system which has a well-defined normal form with asymptotically stable zero dynamics. We allow the system's equation to depend on constant uncertain parameters and disturbance inputs which do not change the relative degree. Our goal is to design an output feedback controller which regulates the output to a constant reference. The integral of the regulation error is augmented to the system equation, and a robust output feedback controller is designed to bring the state of the closed-loop system to a positively invariant set. Once inside this set, the trajectories approach a unique equilibrium point at which the regulation error is zero. We give regional as well as semiglobal results.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.539423