Title :
A frequency response parametrization of all stabilizing controllers for continuous time systems
Author :
Keel, L.H. ; Shafai, B. ; Bhattacharyya, S.P.
Author_Institution :
Center of Excellence in Inf. Syst., Tennessee State Univ., Nashville, TN, USA
Abstract :
In this paper, we present an alternative and new interpretation of the Nyquist criterion in terms of Bode plots of the plant and the controller. This result gives a nonparametric characterization of the frequency response of arbitrary order stabilizing controllers. The result shows that the frequency response of any stabilizing controller must satisfy constraints on its magnitude, phase, and rate of change of phase at certain frequencies that are imposed by the frequency response of the inverse plant.
Keywords :
Bode diagrams; Nyquist criterion; closed loop systems; continuous time systems; frequency response; stability; Nyquist criterion; arbitrary order stabilizing controllers; continuous time systems; frequency response parametrization; nonparametric characterization; Continuous time systems; Control system synthesis; Control systems; Feedback loop; Frequency response; Open loop systems; Robustness; Stability criteria; System testing; Transfer functions;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5160533
