Iterative Restoration Algorithms For Nonlinear Constraint Computing

1986 ◽  
Author(s):  
Harold Szu
2010 ◽  
Author(s):  
Chao Yang ◽  
Huimin Yan ◽  
Xiuda Zhang ◽  
Wangpin Shangguan ◽  
Heng Su

Author(s):  
A. Katsaggelos ◽  
J. Biemond ◽  
R. Mersereau ◽  
R. Schafer

1981 ◽  
Vol 69 (4) ◽  
pp. 432-450 ◽  
Author(s):  
R.W. Schafer ◽  
R.M. Mersereau ◽  
M.A. Richards

2013 ◽  
Vol 2013 ◽  
pp. 1-22 ◽  
Author(s):  
XianHong Li ◽  
HaiBin Yu ◽  
MingZhe Yuan

This paper presents a design method of the optimal proportional-integral-derivative (PID) controller withɛ-Routh stability for different processes through Lyapunov approach. The optimal PID controller could be acquired by minimizing an augmented integral squared error (AISE) performance index which contains control error and at least first-order error derivative, or even may containnth-order error derivative. The optimal control problem could be transformed into a nonlinear constraint optimization (NLCO) problem via Lyapunov theorems. Therefore, optimal PID controller could be obtained by solving NLCO problem through interior method or other optimization methods. The proposed method can be applied for different processes, and optimal PID controllers under various control weight matrices andɛ-Routh stability are presented for different processes. Control weight matrix andɛ-Routh stability’s effects on system performances are studied, and different tuning methods’ system performances are also discussed.ɛ-Routh stability’s effects on disturbance rejection ability are investigated, and different tuning methods’ disturbances rejection ability is studied. To further illustrate the proposed method, experimental results of coupled water tank system (CWTS) under different set points are presented. Both simulation results and experiment results show the effectiveness and usefulness of the proposed method.


1988 ◽  
Author(s):  
Serafim N. Efstratiadis ◽  
Aggelos K. Katsaggelos

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