IET Control Theory and Applications

This study tends to solve the finite‐time boundedness (FTB) problems for discrete switched singular systems with time‐varying delays via a non‐fragile sliding mode approach. The remarkable feature of the provided method is that a new sliding surface function is constructed such that a full‐order dynamic system is acquired. Thus, a non‐fragile sliding mode controller can be proposed to guarantee the FTB of the dynamic system. Therein, by employing the multiple Lyapunov‐like functions and dwell time (DT) method, sufficient conditions and the DT of switching signal are given to ensure the FTB of the sliding mode dynamics. These results are then applied to the FTB issue, being expressed as a solvable optimisation problem. Furthermore, by employing a discrete reaching condition, the proposed sliding mode controller can guarantee the reachability of the quasi‐sliding mode. The validity of the proposed theorems is verified through a numerical example.

The problem of detection and reconstruction of cyber‐attacks corrupting states and/or outputs of a linear cyber‐physical system is addressed. Robust state/sensor attack observers are designed able both to work as detection monitors with guaranteed performances, and to reconstruct the attacks within a finite‐time. Detection and reconstruction are performed robustly with respect to bounded modelling errors possibly affecting the state equation. Compensation of attacks is also addressed for square plants. An extensive simulation study using test‐cases taken from the literature is shown to support the theoretical findings.