Design of Inputs Without Data Informativity for Secure Model Predictive Control

This paper considers a control problem to prevent dynamic stealth attacks using interception data. The attacker can design a stealth attack signal from the trajectory of the system if the input data is persistently exciting (PE). Thus, this paper considers model predictive control using the input without PE. Since a design problem for the input without PE is a combinatorial optimization problem, nuclear and
$l2/l1$
norm optimization problems are proposed as alternative problems to obtain approximate solutions.