TY - JOUR
T1 - A Mixed-Integer Programming Approach to Networked Control Systems
AU - G. Zhang, X. Chen & T. Chen
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 590
EP - 611
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/828.html
KW - model predictive control, networked control systems, non-convexity, mixed-integer programming, mixed logical dynamical systems, hybrid systems.
AB - <p style="text-align: justify;">This paper studies the problem of controller design for
networked control systems regulated by a network data transmission
protocol proposed in [50]. In this framework, the plant is first
formulated as a mixed logical dynamical (MLD) system, then model
predictive control (MPC) based on the mixed-integer programming is
adopted to design a controller to guarantee certain control performance.
It is shown that the solvability of the finite-horizon MPC is not
equivalent to that of the infinite-horizon MPC, which is normally true
for most existing MPC methods. The non-convexity feature of this type of
networked control systems rules out explicit piecewise affine
controllers that are designable for linear convex control systems.
Notwithstanding these difficulties, controller design is still feasible
due to the special nature of the data transmission strategy, i.e., only
a small number of logic values are involved. Furthermore, control of
higher-order systems and tracking of more complicated signals can be
readily dealt with using this new approach. Two examples are presented
to illustrate the strength of the proposed approach.</p>