Preview controller design for constrained discrete-time systems with
In this work, the problem of preview saturated control (PSC) for
constrained discrete-time delayed systems (CD-TDS) was investigated.
First, using an input–output method, a discrete-time system with
time-varying delays was formally eliminated, and a discrete-time system
with constant time delay was obtained. Then, an augmented error system
(AES) was constructed through an auxiliary signal related to state
variables, which changed the problem of PSC transform into a problem of
robust stability for the interconnected subsystem. Afterward, using the
Lyapunov function and linear matrix inequality (LMI) technique,
sufficient conditions for the robust stability of the closed-loop system
and the design of the PSC laws were given. Finally, numerical
simulations were performed, and they demonstrated the validity of the
results presented in this paper.