This paper investigates the problem of sensor fault
estimation and fault-tolerant control for Markovian jump systems
with time delay and Lipschitz nonlinearities. The issues involved
here are: i) sensor faults; ii) model Lipchitz nonlinearities;
iii) system structure changes governed by Markovian jumping
parameters; and iv) time delay in system states. Such type of
mathematical models can represent a large number of practical
systems in the actual engineering. A new estimation technique
(named proportional and derivative sliding mode observer) is
developed to deal with this design problem. The proposed observer
is mode-dependent type in which a derivative gain and a
proportional gain are introduced to provide more design freedom,
and a discontinuous input term is introduced to eliminate the
effects of sensor faults. By employing the developed estimation
technique, the asymptotic estimations of system states and sensor
faults can be obtained simultaneously. Based on the estimation,
an observer-based fault-tolerant control scheme is developed to
stabilize the resulting closed-loop system. Finally, a numerical example
is presented to illustrate the effectiveness and applicability
of the proposed technique.