Data-Driven Analysis and Controller Design for Discrete-Time Systems Under Aperiodic Sampling

Data-driven Control of Event-triggered Linear Systems

“…In practice, the noise is always bounded. It is thus reasonable to make the following assumption on the noise, which has also been used in e.g., [25], [26].…”

“…The system (26) performs the same stability behavior as system (4), since they are equivalent algebraically. Imitating Theorem 1, the following stability criterion can be derived using the equivalent system (26).…”

“…We are now ready to provide a data-driven method for co-designing a full structure of the block controller gain K, and all matrices Ω i of the distributed triggering scheme for system (4) with unknown matrices A i , B i , A ij . Motivated by [25], [26], the core idea is to replace the model in ( 1) with a data-driven system expression only using the measurements {x i (T )} ρ T =0 and {u i (T )} ρ−1 T =0 . Following this line, a data-based stability condition is obtained by combining the data-driven parametrization in Lemma 1 and the stability guarantee in Theorem 2.…”

“…By joining the data-based system parametrization in [23] and the model-based analysis method in [24], a data-driven stability criterion was developed for continuous-time linear systems with sampled-data control in [25], which has also suggested a data-driven controller. This data-driven framework has been extended to discrete-time sampled-data systems in [26]. A data-driven resilient predictive controller against DoS attacks was developed in [27].…”

Data‐driven analysis and control of periodic event‐triggered continuous‐time systems

“…By invoking the data-based representation, the data-based MSI estimation of aperiodic sampled-data systems has been discussed. [19][20][21] The data-based analysis and control for dynamic ETC and self-triggered control systems were also considered. 22,23 It is known that the detecting interval needs to be chosen in advance for different triggering parameters in PETC.…”