$H_\infty$ Event-Triggered Control With Performance Guarantees Vis-à-Vis the Optimal Periodic Solution

Mi, La; Mirkin, Leonid

doi:10.1109/tac.2020.3045291

Cited by 10 publications

(3 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The equations of the IPTMD-tall building system can be re-expressed as,whereThe state space of equation (28) iswhere bold-italicz˙ is the state vector of the system; y is the output vector (displacement) of the system, andThe transfer function of equation (30) isAdditionally, the H∞ norm of a system is the induced norm of its L 2 norm, and the mathematical expression is as follows (Mi and Mirkin, 2022). where || y || 2 is the L 2 norm of the system output y , which can reflect its energy; || w || 2 is the L 2 norm of the seismic input, which can reflect the energy of the earthquake.…”

Section: Optimal Design Of the Iptmdmentioning

confidence: 99%

Equivalent linearization and parameter optimization of isochronous-pendulum tuned mass damper

Huang

Huo

2022

Advances in Structural Engineering

View full text Add to dashboard Cite

The isochronous-pendulum tuned mass damper (IPTMD) with curved supports was proposed to eliminate the loss of vibration control performance induced by large swing angles in our previous study. However, the nonlinearity caused by the IPTMD leads to difficulty in its parameter optimization. To overcome this issue, an approach based on the equivalent linearization method (ELM) and genetic algorithm (GA) is proposed in this paper to facilitate the optimal design of the IPTMD. First, based on the pseudo excitation method, the nonlinear IPTMD system is equivalent to a linear one using the ELM. The numerical results demonstrate that the equivalent linearization model of the IPTMD is fairly precise to approximate the original nonlinear IPTMD. Then the optimal design based on the H∞ norm and GA is performed to compute the design parameters of the IPTMD, which can minimize the peak response of the main structure. Additionally, to evaluate the effectiveness of the proposed approach, the optimal parameters are applied to compute the dynamic response of a tall building installed with the IPTMD under different earthquakes. The numerical results reveal that the optimized IPTMD can reduce the displacement of the tall building effectively.

show abstract

Section: Optimal Design Of the Iptmdmentioning

confidence: 99%

Equivalent linearization and parameter optimization of isochronous-pendulum tuned mass damper

Huang

Huo

2022

Advances in Structural Engineering

View full text Add to dashboard Cite

show abstract

“…According to [3], an ETC scheme is referred to as consistent if the closed-loop performance is improved compared to TTC while acting at the same average triggering rate. Some works consider ETC lowering the average triggering rate compared to TTC while still maintaining a performance level [7,20], whereas others study the property of ETC improving the performance at the same average sampling rate as TTC [2,5]. However, note that both perspectives are conceptually equivalent goals [5].…”

Section: Introductionmentioning

confidence: 99%

“…Similarly, other performance measures such as 2 /L 2 -gains have been addressed in this context [6,7]. Moreover, [20] has arrived at an ETC design for continuous-time LTI systems guaranteeing the same H ∞ -performance as the optimal periodic controller while never exceeding its average triggering rate. While all of these works consider single-loop systems, the potential of ETC has also led to numerous schemes for distributed problems.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Time- versus Event-Triggered Consensus for a Single-Integrator Multi-Agent System

Meister

Аурзада

Lifshits

et al. 2022

2022 IEEE 61st Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

Event-triggered control has shown the potential for providing improved control performance at the same average sampling rate when compared to time-triggered control. While this observation motivates numerous event-triggered control schemes, proving it from a theoretical perspective has only been achieved for a limited number of settings. Inspired by existing performance analyses for the single-loop case, we provide a first fundamental performance comparison of time-and event-triggered control in a distributed multi-agent consensus setting. For this purpose, we consider undirected connected network topologies and the long-term average of the quadratic deviation from consensus as a performance measure. The main finding of our analysis is that time-triggered control provably outperforms event-triggered control beyond a certain number of agents in our particular setting. We thereby provide an exemplary distributed problem setup in which event-triggered control results in a performance disadvantage when compared to time-triggered control in the case of large networks. Moreover, we derive the asymptotic orders of the performance measure under both triggering schemes which give more insights into the cost relationship for large numbers of agents. Thus, by presenting an analysis for a particular setup, this work points out that the often presumed superiority of event-triggered control over time-triggered control might not generally be provided if we consider distributed settings.

show abstract

Distributed interval observer-based robust control for multirate systems under the FlexRay protocol

Li,

Cheng,

Wang

et al. 2024

Journal of the Franklin Institute

View full text Add to dashboard Cite

$H_\infty$ Event-Triggered Control With Performance Guarantees Vis-à-Vis the Optimal Periodic Solution

Cited by 10 publications

References 19 publications

Equivalent linearization and parameter optimization of isochronous-pendulum tuned mass damper

Equivalent linearization and parameter optimization of isochronous-pendulum tuned mass damper

Analysis of Time- versus Event-Triggered Consensus for a Single-Integrator Multi-Agent System

Distributed interval observer-based robust control for multirate systems under the FlexRay protocol

Contact Info

Product

Resources

About