Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2012; 10(1): 150-157

Published online February 4, 2012

https://doi.org/10.1007/s12555-012-0117-y

© The International Journal of Control, Automation, and Systems

Fault Diagnosis and Optimal Fault-Tolerant Control for Systems with Delayed Measurements and States

Juan Li, Hong-Wei Gao, Peng Zhang, and Da-Rong Huang

Qingdao Agricultural University, China

Abstract

This note deals with the problems of fault diagnosis and fault-tolerant control for systems with delayed measurements and states. The main contribution consists in two aspects. First, by solving the Riccati equation and Sylvester equation, an optimal fault-tolerant control law is designed for systems with delayed measurements and states. The existence and uniqueness of the optimal fault-tolerant control law are proved. Second, the physically unrealizable problem of the optimal fault-tolerant con-trol law is solved by proposing a novel fault diagnoser for systems with delayed measurements and states. Finally, a numerical example is given to demonstrate the feasibility and validity of the proposed schemes.

Keywords Fault diagnosis, fault-tolerant control, optimal control, time-delay systems.

Article

Technical Notes and Correspondence

International Journal of Control, Automation and Systems 2012; 10(1): 150-157

Published online February 1, 2012 https://doi.org/10.1007/s12555-012-0117-y

Copyright © The International Journal of Control, Automation, and Systems.

Fault Diagnosis and Optimal Fault-Tolerant Control for Systems with Delayed Measurements and States

Juan Li, Hong-Wei Gao, Peng Zhang, and Da-Rong Huang

Qingdao Agricultural University, China

Abstract

This note deals with the problems of fault diagnosis and fault-tolerant control for systems with delayed measurements and states. The main contribution consists in two aspects. First, by solving the Riccati equation and Sylvester equation, an optimal fault-tolerant control law is designed for systems with delayed measurements and states. The existence and uniqueness of the optimal fault-tolerant control law are proved. Second, the physically unrealizable problem of the optimal fault-tolerant con-trol law is solved by proposing a novel fault diagnoser for systems with delayed measurements and states. Finally, a numerical example is given to demonstrate the feasibility and validity of the proposed schemes.

Keywords: Fault diagnosis, fault-tolerant control, optimal control, time-delay systems.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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