论文信息 - A LINEAR PROGRAMMING APPROACH FOR CALCULATION OF ALL STABILIZING PARAMETERS OF LEAD/LAG CONTROLLERS

A LINEAR PROGRAMMING APPROACH FOR CALCULATION OF ALL STABILIZING PARAMETERS OF LEAD/LAG CONTROLLERS

Lead/Lag controllers are used extensively in industry and there is no straight forward and general solution to the problem of calculating all stabilizing parameters of Lead/Lag controllers. In this paper, a linear programming approach is proposed to calculate all stabilizing parameters of Lead/Lag type controllers for a given continuous-time plant from an arbitrary order. The proposed method is based on the extension of Hermite-Biehler Theorem, which has been proposed for calculating all stabilizing PID gains for a given continues-time system in [6]. The linear programming nature of the proposed approach is its main advantage, which leads to the computer-aided computation of the above problem. The applicability of the method is verified through a numerical example.

Mahdi Jalili | Babak Nadjar Araabi

[1] P. N. Paraskevopoulos,et al. Modern Control Engineering , 2001 .

[2] M.C.M. Teixeira. Direct expressions for Ogata's lead-lag design method using root locus , 1994 .

[3] Shankar P. Bhattacharyya,et al. A generalization of the Hermite Biehler theorem , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[4] Shankar P. Bhattacharyya,et al. Robust Control: The Parametric Approach , 1995 .

[5] Murat Akgül,et al. Fuzzy controller design for parametric controllers , 1997 .

[6] S. Bhattacharyya,et al. A new approach to feedback stabilization , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[7] Shankar P. Bhattacharyya,et al. Generalizations of the Hermite–Biehler theorem , 1999 .

[8] Katsuhiko Ogata,et al. Modern control engineering (3rd ed.) , 1996 .

[9] Shankar P. Bhattacharyya,et al. A linear programming characterization of all stabilizing PID controllers , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).