A new control approach for a class of linear switched systems with time-varying delay

In this paper, a new method for designing controller for linear switching systems with varying delay is presented concerning the Hurwitz-Convex combination. For stability analysis the Lyapunov-Krasovskii function is used. The stability analysis results are given based on the linear matrix inequalities (LMIs), and it is possible to obtain upper delay bound that guarantees the stability of system by solving the linear matrix inequalities. Compared with the other methods, the proposed controller can be used to get a less conservative criterion and ensures the stability of linear switching systems with time-varying delay in which delay has way larger upper bound in comparison with the delay bounds that are considered in other methods. Numerical examples are given to demonstrate the effectiveness of proposed method.

Hybrid sliding mode observer for uncertain linear switching system with actuator faults

This paper investigates the problem of designing a hybrid sliding mode observer for mode identification and actuator fault reconstruction, applicable for a class of linear switching systems. For each operating mode constituting the whole system, only one observer is doomed to accomplish the two aforementioned tasks in the presence of exogenous disturbances. The method uses [Formula: see text] concept in the design of the sliding motion so that the effect of uncertainties on the residuals generation for mode recognition and on the reconstruction of the actuator faults will be minimized. Simulation results highlight the efficiency and the effectiveness of the proposed method.