LTM factor-based static output feedback FTC for Lipschitz nonlinear systems: An integral type fault decomposition approach

• Published in: Journal of the Franklin Institute Vol. 362; no. 1; p. 107439
• Main Authors: Wang, Hong-Jun, Huang, Sheng-Juan
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.01.2025
• Subjects: Fault tolerant control (FTC); Integral type fault decomposition; Linear matrix inequality (LMI); Linear transformation matrix (LTM); Lipschitz nonlinear systems; Lipschitz nonlinear systems; Linear transformation matrix (LTM); Linear matrix inequality (LMI); Integral type fault decomposition; Fault tolerant control (FTC)
• ISSN: 0016-0032
• DOI: 10.1016/j.jfranklin.2024.107439

For a class of Lipschitz nonlinear systems beset by actuator faults, an observer-based static output feedback fault tolerant control (FTC) scheme is employed to compensate the faults and stabilize the system. In the procedure, an integral type fault virtual decomposition is introduced for the first time to induce a multi-parameter state-fault-observer with good flexibility. Then, the multi-parameter observer is embedded into a static output feedback controller, so as to compensate the faults and stabilize the system. An overall closed-loop system embedded a multi-parameter error dynamics is obtained. Stability conditions for the closed-loop system are expressed in terms of multi-parameter matrix inequalities, ensuring uniformly ultimate boundedness of states. Here, to determine the controller gain and observer gains, a linear transformation matrix (LTM) factor-based Lyapunov function is introduced to eliminate the coupling term in the obtained multi-parameter matrix inequalities, so as to derive the multi-parameter LMI-based stability conditions with less conservativeness. Two illustrative numerical examples test the proposed observer-based static output feedback FTC strategy.