A novel fault-tolerant control (FTC) scheme for linear systems (LS) under polynomial faults is presented in this paper, utilizing the control allocation (CA) technique. The scheme is applicable to control systems where the input matrix cannot be decomposed into two matrices with equal ranks and smaller sizes compared to the minimum number of columns and rows of the input matrix. The faults induced by the system are expressed as polynomial functions of time and are considered within the scheme. System state and fault are estimated using an observer, and the obtained virtual control signals are reassigned to fault-diagnosing controller. Numerical examples are provided to validate the results.
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