Time-constrained event-triggered Model Predictive Control for nonlinear continuous-time systems

Hashimoto, Kazumune; Adachi, Shuichi; Dimarogonas, Dimos V.

doi:10.1109/cdc.2015.7402894

Cited by 15 publications

(8 citation statements)

References 15 publications

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“…Lemma 2 states that for a given polyhedral, λ-contractive C-set, the corresponding larger, scaled set is also shown to be λ-contractive as long as the constraint satisfactions (8) are fulfilled. Together with Lemma 1, Lemma 2 illustrates the possibility to enlarge the domain of attraction to guarantee stability of the origin.…”

Section: B Set-invariance Theorymentioning

confidence: 99%

Self-triggered control for constrained systems: A contractive set-based approach

Hashimoto

Adachi

Dimarogonas

2017

2017 American Control Conference (ACC)

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In this paper, a self-triggered control scheme for constrained discrete-time control systems is presented. The key idea of our approach is to construct a transition system or a graph structure from a collection of polyhedral sets, which are generated based on the notion of set-invariance theory. The interevent time steps are then determined through a standard graph search algorithm to obtain the minimal total cost to a terminal state. The proposed strategy is illustrated through a numerical example.

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Section: B Set-invariance Theorymentioning

confidence: 99%

Self-triggered control for constrained systems: A contractive set-based approach

Hashimoto

Adachi

Dimarogonas

2017

2017 American Control Conference (ACC)

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“…Some calculations of the right hand side in (15) yield (13). The derivation of (13) from (15) is given in the Appendix.…”

Section: Lemma 1 Suppose That Problem 1 Admits a Solution Atmentioning

confidence: 99%

Self-triggered Model Predictive Control for continuous-time systems: A multiple discretizations approach

Hashimoto

Adachi

Dimarogonas

2016

2016 IEEE 55th Conference on Decision and Control (CDC)

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Abstract-In this paper, we propose a new self-triggered formulation of Model Predictive Control for continuous-time linear networked control systems. Our control approach, which aims at reducing the number of transmitting control samples to the plant, is derived by parallelly solving optimal control problems with different sampling time intervals. The controller then picks up one sampling pattern as a transmission decision, such that a reduction of communication load and the stability will be obtained. The proposed strategy is illustrated through comparative simulation examples.

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“…In Hashimoto et al (2015), unlike typical approaches, an event-triggered MPC strategy was not obtained based on the Lyapunov stability theory for the disturbed continuous-time systems. Stability was proved after being ensured of the decreased time for the state variable to approach the local set.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered robust model predictive control for Lipschitz nonlinear networked control systems subject to communication delays

Ghorbani

Safavi

Naghavi³

2020

Transactions of the Institute of Measurement and Control

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In this paper, the problem of event-triggered robust model predictive control (MPC) was examined for a class of Lipchitz nonlinear networked control systems (NCS) with network-induced delays and subject to external disturbances. An event-triggering scheme for a continuous-time NCS was proposed, which reduced the communication traffic and computational burden of the MPC algorithm simultaneously. In comparison with the existing event-triggered nonlinear MPC (NMPC) approaches, the controller in this paper was designed as a state feedback control law, which minimized a “worst-case” performance index over an infinite horizon subject to constraints on the control input. The controller and event generator parameters were developed as a convex optimization problem, encompassing some linear matrix inequalities (LMIs). Simulation results showed that the proposed event-triggering NMPC scheme preserved closed-loop performance while reducing the communication rate and the computational time.

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Time-constrained event-triggered Model Predictive Control for nonlinear continuous-time systems

Cited by 15 publications

References 15 publications

Self-triggered control for constrained systems: A contractive set-based approach

Self-triggered control for constrained systems: A contractive set-based approach

Self-triggered Model Predictive Control for continuous-time systems: A multiple discretizations approach

Event-triggered robust model predictive control for Lipschitz nonlinear networked control systems subject to communication delays

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