PID controller design for robust performance

This note is devoted to the problem of synthesizing proportional-integral-derivative (PID) controllers for robust performance for a given single-input-single-output plant in the presence of uncertainty. First, the problem of robust performance design is converted into simultaneous stabilization of a...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2003-08, Vol.48 (8), p.1404-1409
Main Authors: HO, Ming-Tzu, LIN, Chia-Yi
Format: Article
Language:English
Subjects:
Applied sciences
Automatic control
Computation
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control theory. Systems
Delay effects
Exact sciences and technology
Gain
Linear programming
Optimization methods
Performance gain
Polynomials
Proportional control
Proportional integral derivative
Robust control
Robustness
Stabilization
System theory
Three-term control
Uncertainty
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Summary:This note is devoted to the problem of synthesizing proportional-integral-derivative (PID) controllers for robust performance for a given single-input-single-output plant in the presence of uncertainty. First, the problem of robust performance design is converted into simultaneous stabilization of a complex polynomial family. An extension of the results on PID stabilization is then used to devise a linear programming design procedure for determining all admissible PID gain settings. The most important feature of the proposed approach is that it computationally characterizes the entire set of the admissible PID gain values for an arbitrary plant.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2003.815028