Fault detection of switched systems with repeated scalar non‐linearities

Switched control of repeated scalar non‐linear systems via sliding mode control technique

“…Based on the points discussed above, numerous researchers developed have put a significant amount of effort into improving the stability and system performance for these non‐linear systems, and a large number of results, thus, have been reported in the literature on repeated scalar non‐linearities in recent years. To mention a few, the solutions of the system performance analysis and stabilisation problems are represented in [3, 4], the finite‐time state feedback controllers and output feedback fuzzy controllers are designed in [5, 6], the generalised filtering problems are investigated in [7, 8], and the proposed results in [9] solve the model reduction/approximation problems by constructing appropriate system parameters.…”

Fault estimation for discrete-time switched nonlinear systems with discrete and distributed delays

“…A fault detection problem for switched systems under asynchronous switching is investigated in . A generalized fault detection problem of discrete‐time switched systems with repeated scalar nonlinearities has been investigated in .…”

“…A fault detection problem for switched systems under asynchronous switching is investigated in [22]. A generalized H 2 fault detection problem of discrete-time switched systems with repeated scalar nonlinearities has been investigated in [23].Besides switching properties, practical processes always involve time-delay, and its presence may lead to instability and poor performance of control systems [24]. Further, it is reported that the switched time-delay systems have various applications for practical engineering systems, for example, autonomous transmission systems, computer disc drivers, room temperature control, and various networked control systems.…”

“…By solving the convex optimization problem(23), the observer gain matrices are obtained as with an optimized minimum H 1 performance level D 2:1884 and an estimate for the state decay as ke k k 6 4:996e 0:0029.k k 0 / k k l . To show the efficiency, we have shown the simulations of step-wise fault f k and its estimation O f k inFigure 5.…”