Title :
Direct synthesis of first order controllers from frequency response measurements
Author :
Keel, L.H. ; Bhattacharyya, S.P.
Author_Institution :
Center of Excellence in Inf. Syst., Tennessee State Univ., Nashville, TN, USA
Abstract :
This paper gives a constructive algorithm to obtain the entire set of stabilizing first order controllers for a given single-input single-output linear time invariant system. Unlike earlier results, a mathematical model such as the transfer function or a state space model is not required. Instead, only the frequency response (Nyquist-Bode data) and knowledge of the number of RHP poles of the plant are utilized to solve the problem. The method is of practical importance especially when mathematical models are not available or identification is not desirable. We also show that the method can be extended to include various performance requirements such as guaranteed gain and phase margins, and guaranteed H∞ margin. An example is given for illustration.
Keywords :
control system synthesis; frequency response; linear systems; pole assignment; stability; H∞ margin; Nyquist-Bode data; RHP poles; direct synthesis; first order controller; frequency response measurement; gain margin; phase margin; single-input single-output linear time invariant system; Analytical models; Control design; Control systems; Frequency measurement; Frequency response; Mathematical model; Performance gain; Shape control; State-space methods; Transfer functions;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470124