Aperiodic event-triggered model predictive control for perturbed LTI systems: A PID based approach

He, Ning; Li, Yuxiang; Li, Huiping; Xu, Zhongxian

doi:10.1016/j.ins.2022.10.055

Cited by 6 publications

(7 citation statements)

References 31 publications

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“…The critical duration  * is the maximum duration of DoS attacks that can be tolerated for the closed-loop system (11), such that if  ≤  * , then for all x 0 ∈  N , k ∈ N, w k ∈ , the constraints (2) are satisfied, robust asymptotic stability of the closed-loop system (11) is ensured.…”

Section: Definitionmentioning

confidence: 99%

“…Constraints (13) only address the equivalent form of (12) for a specific set of disturbance sequences {w 0|k , w 1|k , … }. To ensure the robustness of the closed-loop system (11) against the disturbances w k , it is necessary for the constraint (12) to account for all potential values of the disturbances, as detailed in (9a). This, in turn, provides the motivation for further adjustments to the constraints (13).…”

Section: Construction Of Implementable Optimization Problemmentioning

confidence: 99%

“…Theorem 2 (Critical time analysis). For a given closed-loop system (11) under DoS attacks, define a critical parameter 𝜃 as 28)-( 30) are satisfied}, (27) where conditions ( 28)-( 30) are expressed as…”

Section: Recursive Feasibilitymentioning

confidence: 99%

“…The time intervals during which the C-A channel suffers DoS attacks are N [2,6] and N [11,15] . The terminal region X 𝜀 , and sets X r and X f , the feasible region  N , the state constraint set , and the state trajectory under Algorithm 1 are shown in Figure 1, which are calculated by using MPT3, YALMIP 32 toolboxes and Gurobi solver.…”

Section: Comparison Between Resilient Mpc Algorithm and No Resilient ...mentioning

confidence: 99%

“…Model predictive control (MPC) can effectively handle constraints in the system because MPC not only incorporates constraints directly into the optimization problem but also anticipates potential constraint violations in the future, allowing it to adjust control actions at the current moment to prevent system constraint violations. 11 Furthermore, MPC has also inherent advantages in dealing with cyber attacks. The MPC-based controllers solve optimization problems online, enabling the use of optimal predicted input and state sequences for devising resilient control strategies, including mitigating data loss or tampering attributable to attackers.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Dual‐mode resilient model predictive control for cyber‐physical systems against DoS attacks

Yang,

Dai,

Xie

et al. 2024

Intl J Robust & Nonlinear

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In this article, a resilient model predictive control algorithm incorporating a dual‐mode control strategy is proposed for a class of cyber‐physical systems subject to state and input constraints, additive disturbances and denial‐of‐service (DoS) attacks. An adversary aims to disrupt the controller‐to‐actuator channel by deploying adversarial jamming signals. By exploring the prediction uncertainty between a nominal model and an actual model and utilizing a constraint tightening technique, a novel set of constraints is developed, which guarantees robust constraint satisfaction in open‐loop mode caused by DoS attacks. A robust positive invariant set is designed, which allows the control mode to switch from rolling optimization to a state‐feedback control law when the state enters its interior, thus saving computational resources. We explicitly determine a critical duration for DoS attacks and, through theoretical analysis, establish that when the duration of DoS attacks falls below this critical value, the proposed algorithm ensures guaranteed recursive feasibility and robust asymptotic stability. Finally, some comparisons are provided to illustrate the effectiveness of the proposed approach.

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Section: Definitionmentioning

confidence: 99%