Model Predictive Control with Memory-based Discrete Search for Switched Linear Systems

Larsen, Rie B.; Atasoy, Bilge; Negenborn, Rudy R.

doi:10.1016/j.ifacol.2020.12.325

Cited by 2 publications

(2 citation statements)

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“…Such result lays a foundation for the MPC techniques of hybrid systems. According to this, distributed MPC [20], observer-based MPC [21], parallelizable MPC [22], and robust tube-based MPC [23] are designed for the switched systems. The design of event-triggered MPC has also obtained lots of results.…”

Section: Introductionmentioning

confidence: 99%

“…This is new in the literature. (ii) Different from the existing results [21,22], in which the performance index coefficients are set as 1, we introduce a new index coefficient to the quadratic cost function relying on the increasing/decreasing rate of Lyapunov function to deal with the complex mode mismatch between the system and controller sides. On this basis, the transformation of the optimization problem is realized.…”

Section: Introductionmentioning

confidence: 99%

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Event‐triggered model predictive control of switched systems with denial‐of‐service attacks

Yan

Shi

Xia

et al. 2023

Asian Journal of Control

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Observer‐based model predictive control (MPC) for the discrete‐time switched systems suffered by event‐triggered mechanism and denial‐of‐service (DoS) attacks is discussed in this paper. We assume that the switch is slow enough and the attacker's energy is limited. To save network resources, an event‐triggered mechanism is designed based on dwell time and triggered error. Under the coupled influence of attack and trigger, a complex mismatch of system mode and controller mode occurs, which brings difficulties to the transformation of MPC optimization problem. To address this problem, a new performance index coefficient is designed by using the increasing/decreasing law of Lyapunov function. On this basis, the transformation of the optimization problem is realized. Then, the controller gain and observer gain for the attack‐free case are designed to guarantee the exponential convergence of the closed‐loop system. In the presence of attacks, we obtain the upper bound of attack duty cycle, below which the exponential convergence of the system can still be archived. An example is illustrated at last to verify the validity of the main results.

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