Optimal Controller for Uncertain Stochastic Linear Systems With Poisson Noises

Maldonado, Juan J.

doi:10.1109/tii.2013.2248160

Cited by 15 publications

(3 citation statements)

References 29 publications

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“…As such, the control and filtering problems subject to uncertainties have gained an ongoing research interest for various systems ; see, e.g. Basin and Maldonado (2014), Caballero-Águila et al ( 2019) and X.-M. . It is worth mentioning that, for a NS, the utilisation of communication protocol would further complicate the control and filter design of uncertain systems.…”

Section: Communication-protocol-based Control and Filtering Of Uncertain Systemsmentioning

confidence: 99%

Communication-protocol-based analysis and synthesis of networked systems: progress, prospects and challenges

Zou

Wang

et al. 2021

International Journal of Systems Science

154

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In recent years, the communication-protocol-based synthesis and analysis issues have gained substantial research interest owing mainly to their significance in networked systems. In this work, we survey the control and filtering problems of networked systems under the effects induced by communication protocols. First, we introduce the engineering background of networked systems as well as the theoretical frameworks established to deal with the communication-protocol-based analysis and synthesis problems. Then, recent advances (especially the latest results) are reviewed on the stability analysis issue subject to protocol scheduling. Subsequently, the particular effort is devoted to presenting the latest progress on various communication-protocol-based control and filtering problems according to the characteristics of networked systems (e.g. time-varying nature, random behaviours, types of parameter uncertainties, and kinds of distributed structure). After that, we provide a systematic review of the communication-protocol-based fault diagnosis problems. Finally, some research challenges of communication-protocol-based control and filtering problems are outlined for future research.

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Section: Communication-protocol-based Control and Filtering Of Uncertain Systemsmentioning

confidence: 99%

Communication-protocol-based analysis and synthesis of networked systems: progress, prospects and challenges

Zou

Wang

et al. 2021

International Journal of Systems Science

154

View full text Add to dashboard Cite

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“…By sufficient we mean that the proposed controller (15a) might not be the unique solution, but it certainly ensures the optimality of the control criterion (13). A different optimal controller from (15a) might be found by defining another value function rather than (18), such that the HJB equation (16) holds, which, however, is beyond the scope of this article.…”

Section: Remark 5 Note That Theorem 2 Provides a Sufficient Solutionmentioning

confidence: 99%

“…Conventionally, the modeling noise in innovation diffusion is introduced as white noise with Gaussian properties [9], which motivates us to seek for an optimal controller for noisy epidemics based on optimal state filtering. Nevertheless, both the inherent nonlinearity of information epidemics and the strong coupling in the network render great challenges to such a control scheme which are still not overcome by the conventional filteringand-control solutions [14][15][16][17][18][19]. Filling this gap is the major focus of our work.…”

Section: Introductionmentioning

confidence: 99%

Optimal filtering and control of network information epidemics

Liu

Zhang

Buss

2021

At - Automatisierungstechnik

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In this article, we propose an optimal control scheme for information epidemics with stochastic uncertainties aiming at maximizing information diffusion and minimizing the control consumption. The information epidemic dynamics is represented by a network Susceptible-Infected-Susceptible (SIS) model contaminated by both process and observation noises to describe a perturbed disease-like information diffusion process. To reconstruct the contaminated system states, we design an optimal filter which ensures minimized estimation errors in a quadratic sense. The state estimation is then utilized to develop the optimal controller, for which the optimality of the closed-loop system is guaranteed by a separation principle. The designed optimal filter and controller, together with the separation principle, form a complete solution for the optimal control of network information epidemics with stochastic perturbations. Such optimal-filtering-based control strategy is also generalizable to a wider range of networked nonlinear systems. In the numerical experiments on real network data, the effectiveness of the proposed optimal control is validated and confirmed.

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