Pole assignment for uncertain systems in a specified disk by state feedback

This paper presents a method for assigning the poles in a specified disk by state feedback for a linear discrete or continuous time uncertain system, the uncertainty being norm bounded. For this the "quadratic d stabilizability" concept which is the counterpart of quadratic stabilizability...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1995-01, Vol.40 (1), p.184-190
Main Authors: Garcia, G., Bernussou, J.
Format: Article
Language:English
Subjects:
Adaptive control
Applied sciences
Automatic control
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Geometry
Linear systems
Polynomials
Riccati equations
Robust control
Robust stability
State feedback
System theory
Uncertain systems
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Summary:This paper presents a method for assigning the poles in a specified disk by state feedback for a linear discrete or continuous time uncertain system, the uncertainty being norm bounded. For this the "quadratic d stabilizability" concept which is the counterpart of quadratic stabilizability in the context of pole placement is defined and a necessary and sufficient condition for quadratic d stabilizability derived. This condition expressed as a parameter dependent discrete Riccati equation enables one to design the control gain matrix by solving iteratively a discrete Riccati equation.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.362872