This is a response to the rebuttal by A. Cushman regarding our paper "Fault-tolerant sliding mode attitude control for flexible spacecraft under loss of actuator effectiveness" (Nonlinear Dyn.
Case without actuator saturationThere exists a mistake in the symbol in (9) of our paper [2]. It should be changed towhere A(·) is modified asAccordingly, the second inequality in (11) is modified asThen, the development ofV 2 in (17) is correct.
Case with actuator saturationThe Lyapunov function in (25) of our paper [2] should be modified asAnd, accordingly, the time derivative of (25) can be expressed aṡMoreover, (27) is modified aṡ