Adaptive fault-delay accommodation for a class of state-delay systems with actuator faults

• Published in: IEEE/CAA journal of automatica sinica Vol. 7; no. 3; pp. 910 - 918
• Main Authors: Huang, Shengjuan, Li, Chunrong
• Format: Journal Article
• Language: English
• Published: Piscataway Chinese Association of Automation (CAA) 01.05.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Adaptive systems; Computer simulation; Control systems design; Controllers; Delay effects; Delays; Fault tolerance; Linear matrix inequalities; Linear systems; Norms; Optimization; Output feedback; Stability analysis; System effectiveness; Time lag
• ISSN: 2329-9266; 2329-9274
• DOI: 10.1109/JAS.2020.1003015

Fault and delay accommodating simultaneously for a class of linear systems subject to state delays, actuator faults and disturbances is investigated in this work. A matrix norm minimization technique is applied to minimize the norms of coefficient matrix on time delay terms of the system in consideration. Compared with the matrix inequality scaling technique, the minimization technique can relax substantially the obtained stability conditions for state delay systems, especially, when the coefficient matrices of time delay terms have a large order of magnitudes. An output feedback adaptive fault-delay tolerant controller &#x0028 AFDTC &#x0029 is designed subsequently to stabilize the plant with state delays and actuator faults. Compared with the conventional fault tolerant controller &#x0028 FTC &#x0029 , the designed output feedback AFDTC can be updated on-line to compensate the effect of both faults and delays on systems. Simulation results under two numerical examples exhibit the effectiveness and merits of the proposed method.