Frequency Domain Controller Design by Linear Programming Guaranteeing Quadratic Stability

In a recent work, a frequency method based on linear programming is proposed to design fixed-order linearly parameterized controllers for stable linear multi- model SISO systems. The method is based on the shaping of the open-loop transfer functions in the Nyquist diagram under a set of linear constraints guaranteeing a lower bound on the crossover frequency and a linear stability margin. In this paper, this method is extended to guarantee quadratic stability. For this purpose, new linear constraints based on the phase difference of the characteristic polynomials of the models are added in the Nyquist diagram. A simulation example illustrates the effectiveness of the proposed approach.


Published in:
Conference on Decision and Control, 345-350
Presented at:
Conference on Decision and Control, Cancun, Mexico, December 9-11, 2008
Year:
2008
Publisher:
IEEE
Keywords:
Note:
Prj_ControllerDesignLinProg
Laboratories:


Note: The status of this file is: Involved Laboratories Only


 Record created 2008-03-19, last modified 2018-01-28

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