  This paper proposes a procedure to control an uncertain discrete-time
networked control system through a limited stabilizing input information. The
system is primarily affected by the time-varying, norm bounded, mismatched
parametric uncertainty. The input information is limited due to unreliability
of communicating networks. An event-triggered based robust control strategy is
adopted to capture the network unreliability. In event-triggered control the
control input is computed and updated at the system end only when a
pre-specified event condition is violated. The robust control input is derived
to stabilize the uncertain system by solving an optimal control problem based
on a virtual nominal dynamics and a modified cost-functional. The designed
robust control law with limited information ensures input-to-sate stability
(ISS) of original system under presence of mismatched uncertainty. Deriving the
event-triggering condition for discrete-time uncertain system and ensuring the
stability of such system analytically are the key contributions of this paper.
A numerical example is given to prove the efficacy of the proposed event-based
control algorithm over the conventional periodic one.
