Remote robust state estimation for nonlinear systems

Standard

Remote robust state estimation for nonlinear systems. / Pogromsky, A.Y.; Matveev, A.S.

In: Automatica, Vol. 185, 112795, 01.03.2026.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{e6dde54db3594eb4b046e5668cae6d02,

title = "Remote robust state estimation for nonlinear systems",

abstract = "This paper addresses the problem of robust remote state estimation for uncertain nonlinear discrete-time systems when sensor data are transmitted through a digital communication channel of finite bit-rate capacity. The goal is to determine the minimal channel rate required to guarantee a prescribed estimation accuracy in the presence of bounded model uncertainty. We derive an explicit, tractable lower bound on the channel bit rate that ensures this accuracy for any admissible uncertainty level. The bound highlights the fundamental role of the accuracy-to-uncertainty ratio in remote estimation. The analysis relies on a quadratic dissipation inequality describing system uncertainty within the framework of incremental input-to-state stability, leading to a constructive Lyapunov-based characterization. The proposed conditions admit a closed-form analytical expression for a class of systems, including the uncertain Lozi map, which serves as an illustrative example. {\textcopyright} 2025 The Author(s)",

keywords = "Entropy, Finite bit-rates, First and second Lyapunov methods, Nonlinear systems, Remote state estimation, Bits, Communication channels (information theory), Digital communication systems, Lyapunov methods, Nonlinear analysis, Robustness (control systems), State estimation, Uncertainty analysis, Bit rates, Digital communication channels, Finite bit-rate, First and second lyapunov method, Nonlinear discrete-time systems, Remote state estimations, Robust state estimation, Second Lyapunov method, Sensors data, Uncertainty",

author = "A.Y. Pogromsky and A.S. Matveev",

note = "Export Date: 05 February 2026; Cited By: 0; Correspondence Address: A.Y. Pogromsky; Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands; email: A.Pogromsky@tue.nl; CODEN: ATCAA",

year = "2026",

month = mar,

day = "1",

doi = "10.1016/j.automatica.2025.112795",

language = "Английский",

volume = "185",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Remote robust state estimation for nonlinear systems

AU - Pogromsky, A.Y.

AU - Matveev, A.S.

N1 - Export Date: 05 February 2026; Cited By: 0; Correspondence Address: A.Y. Pogromsky; Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands; email: A.Pogromsky@tue.nl; CODEN: ATCAA

PY - 2026/3/1

Y1 - 2026/3/1

N2 - This paper addresses the problem of robust remote state estimation for uncertain nonlinear discrete-time systems when sensor data are transmitted through a digital communication channel of finite bit-rate capacity. The goal is to determine the minimal channel rate required to guarantee a prescribed estimation accuracy in the presence of bounded model uncertainty. We derive an explicit, tractable lower bound on the channel bit rate that ensures this accuracy for any admissible uncertainty level. The bound highlights the fundamental role of the accuracy-to-uncertainty ratio in remote estimation. The analysis relies on a quadratic dissipation inequality describing system uncertainty within the framework of incremental input-to-state stability, leading to a constructive Lyapunov-based characterization. The proposed conditions admit a closed-form analytical expression for a class of systems, including the uncertain Lozi map, which serves as an illustrative example. © 2025 The Author(s)

AB - This paper addresses the problem of robust remote state estimation for uncertain nonlinear discrete-time systems when sensor data are transmitted through a digital communication channel of finite bit-rate capacity. The goal is to determine the minimal channel rate required to guarantee a prescribed estimation accuracy in the presence of bounded model uncertainty. We derive an explicit, tractable lower bound on the channel bit rate that ensures this accuracy for any admissible uncertainty level. The bound highlights the fundamental role of the accuracy-to-uncertainty ratio in remote estimation. The analysis relies on a quadratic dissipation inequality describing system uncertainty within the framework of incremental input-to-state stability, leading to a constructive Lyapunov-based characterization. The proposed conditions admit a closed-form analytical expression for a class of systems, including the uncertain Lozi map, which serves as an illustrative example. © 2025 The Author(s)

KW - Entropy

KW - Finite bit-rates

KW - First and second Lyapunov methods

KW - Nonlinear systems

KW - Remote state estimation

KW - Bits

KW - Communication channels (information theory)

KW - Digital communication systems

KW - Lyapunov methods

KW - Nonlinear analysis

KW - Robustness (control systems)

KW - State estimation

KW - Uncertainty analysis

KW - Bit rates

KW - Digital communication channels

KW - Finite bit-rate

KW - First and second lyapunov method

KW - Nonlinear discrete-time systems

KW - Remote state estimations

KW - Robust state estimation

KW - Second Lyapunov method

KW - Sensors data

KW - Uncertainty

UR - https://www.mendeley.com/catalogue/49c8cc5c-ceeb-338a-aac6-0dfae85e0d97/

U2 - 10.1016/j.automatica.2025.112795

DO - 10.1016/j.automatica.2025.112795

M3 - статья

VL - 185

JO - Automatica

JF - Automatica

SN - 0005-1098

M1 - 112795

ER -

ID: 148349152