Adaptive Control System for Solution of Fault Tolerance Problem

Abstract

Adaptive control can provide desirable behavior of a process even though the process parameters are unknown or may vary with time. Conventional adaptive control requires that the speed of adaptation must be more rapid than that of the parameter changes. However, in practice, problems do arise when this is not the case. For example, when fault occurs in a process, the parameters may change very dramatically. A new approach based on simultaneous identification and adaptation of unknown parameters is suggested for compensation of rapidly changing parameters. High dynamic precision adaptive control can be used for the solution of a fault tolerance problem in complex and multivariable processes and systems.

Appendix

Markov parameters obtained from the experiment	Markov parameters of the reduced order model
0.0000000e + 00	0.0000000e + 00
6.5000000e − 02	6.4934730e − 02
1.4550000e − 01	1.4578163e − 01
1.6442500e − 01	1.6384913e − 01
1.5056000e − 01	1.5077128e − 01
1.2447038e − 01	1.2511681e − 01
9.7003263e − 02	9.7037520e − 02
7.2809279e − 02	7.1509116e − 02
5.3273657e − 02	5.0478548e − 02
2.7143404e − 02	3.4252666e − 02
1.9054881e − 02	2.2345734e − 02
1.3274250e − 02	1.3971877e − 02
9.1920232e − 03	8.3100499e − 03
6.3351771e − 03	4.6301281e − 03
4.3498142e − 03	2.3388797e − 03
2.9776238e − 03	9.8319708e − 04
2.0333343e − 03	2.3330942e − 04
1.3857582e − 03	−1.4099694e − 04
9.4289895e − 04	−2.9426412e − 04
6.4072233e − 04	−3.2618265e − 04