The Design of QFT Robust Compensators with Magnitude and Phase Specifications

The frequency response is an important tool for practical and efficient design of control systems. Control techniques based on frequency response are of special interest to dealing with important subjects such as the bandwidth and the cost of feedback. Furthermore, these techniques are easily adapte...

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Bibliographic Details
Published in:Mathematical Problems in Engineering 2010-01, Vol.2010 (1), p.45-64-003
Main Authors: Moreno, José Carlos, Baños, Alfonso, Berenguel, Manuel
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Closed loops
Compensators
Control systems design
Cost analysis
Design
Design engineering
Feedback control
Frequency domain analysis
Frequency response
Linear control
Loop transfer functions
Mathematical problems
Quantitative feedback theory
Robust control
Specifications
Spectrum allocation
Studies
Uncertainty analysis
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Summary:The frequency response is an important tool for practical and efficient design of control systems. Control techniques based on frequency response are of special interest to dealing with important subjects such as the bandwidth and the cost of feedback. Furthermore, these techniques are easily adapted to deal with the uncertainty of the process to control. Quantitative feedback theory (QFT) is an engineering design technique of uncertain feedback systems that uses frequency domain specifications. This paper analyzes the phase specifications problem in frequency domain using QFT. This type of specification is not commonly taken into account due to the fundamental limitations of the linear control given by Bode's integral. An algorithm is proposed aimed at achieving prespecified closed-loop transfer function phase and magnitude variations, taking into account the plant uncertainty. A two-degrees-of-freedom feedback control structure is used and a new type of boundary is defined to satisfy these objectives. As the control effort heavily depends on a good estimation of these boundaries, the proposed algorithm allows avoiding overdesign.
ISSN:1024-123X
1563-5147
DOI:10.1155/2010/105143