Design of Fuzzy State Observer and Mobile Sensor Guidance for Semilinear Parabolic PDE Systems

Wu, Huai‐Ning; Zhang, Xiao‐Wei

doi:10.1109/tcyb.2020.2980874

Cited by 10 publications

(5 citation statements)

References 29 publications

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“…As in References 21 and 23, in order to avoid the mobile sensors colliding with each other and achieving the observer design objective, we always hope that the

i

th sensor only can move in the space domain

{\Omega}_{i\varepsilon}

i \in 𝕊

(i.e.,

{x}_i^a(t)\in {\Omega}_{i\varepsilon}

i \in 𝕊

), where

\kappa >1

is a design parameter. To meet this expectation, we will introduce a projection operator and give an important lemma.…”

Section: Design Of State Observer Plus Mobile Sensor Guidancementioning

confidence: 87%

“…22 More recently, the fuzzy state observer design has been studied for semilinear parabolic DPSs under mobile sensors. 23 Since time delay is frequently a source of degraded performance for DPSs, the analysis and control/estimation issue of time-delay parabolic DPSs was studied in References 24-26. In References 24 and 25, the delay-dependent robust stability and the H ∞ control were respectively studied for time-delay systems.…”

Section: Introductionmentioning

confidence: 99%

“…Under mobile sensing measurements, the less conservative switching state observer design was developed for semilinear parabolic DPSs 22 . More recently, the fuzzy state observer design has been studied for semilinear parabolic DPSs under mobile sensors 23 …”

Section: Introductionmentioning

confidence: 99%

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State estimation for linear time‐delay distributed parameter systems with mobile sensors

Wang,

Lu,

Liu

et al. 2023

Adaptive Control & Signal

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SummaryThis study deals with the state observer design for a class of linear time‐delay distributed parameter systems (DPSs) modeled by a parabolic partial differential equation (PDE) via mobile sensors. Initially, under the assumption that the spatial domain is decomposed into multiple subdomains according to the number of mobile sensors, the estimation scheme including a state observer and the guidance of mobile sensors is proposed for the linear time‐delay DPS. Then, by using Lyapunov direct technique and the projection modification algorithm, a design of the state observer plus mobile sensor guidance laws is developed, such that the resulting state estimation error system is exponentially stable and the mobile sensor guidance can improve the transient response of state estimation error. Finally, numerical simulations are presented to show the effectiveness of the proposed method.

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“…As in References 21 and 23, in order to avoid the mobile sensors colliding with each other and achieving the observer design objective, we always hope that the

i

th sensor only can move in the space domain

{\Omega}_{i\varepsilon}

i \in 𝕊

(i.e.,

{x}_i^a(t)\in {\Omega}_{i\varepsilon}

i \in 𝕊

), where

\kappa >1

is a design parameter. To meet this expectation, we will introduce a projection operator and give an important lemma.…”

Section: Design Of State Observer Plus Mobile Sensor Guidancementioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

State estimation for linear time‐delay distributed parameter systems with mobile sensors

Wang,

Lu,

Liu

et al. 2023

Adaptive Control & Signal

View full text Add to dashboard Cite

show abstract

“…Meanwhile, the Takagi–Sugeno (T–S) fuzzy model was introduced to transform the nonlinear term in the PDE systems into a linear one. For example, a fuzzy observer for PDE systems was designed in Wu and Zhang 4 to improve the system’s performance, Wang and Wu 5 considered the fuzzy guaranteed cost control for the PDE systems, and Wang and Li 6 addressed a collocated controller for the quasi-linear PDE systems based on T–S fuzzy rules. These systems were transformed into many linear subsystems by the fuzzy membership functions, which provided a great chance to use well-established theories.…”

Section: Introductionmentioning

confidence: 99%

Dynamic event–triggered security control for stochastic partial differential equation systems via a unified pointwise measurement/control strategy

Guo,

Song

2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article focuses on the security control for parabolic partial differential equation systems driven by fractional Brownian motion based on a unified pointwise measurement/control strategy. Initially, by employing the Takagi–Sugeno fuzzy rule, nonlinear stochastic systems are transformed into a series of linear subsystems. Then, based on the improved dynamic event-triggered mechanism and pointwise measurements method, a security controller is presented to resist deception attacks. In addition, the Lyapunov direct method and some novel inequalities are used to ensure the considered system is mean-square exponentially stable, and the gain of the point controller is obtained. Finally, an application example is provided to verify the effectiveness of the proposed method.

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“…9 To obtain unmeasured system states, observer-based output feedback SMC has been extensively studied. [10][11][12][13] Different from linear observers, the sliding mode observer (SMO) enables the finite-time convergence of the estimation error which cannot be achieved by conventional linear observers. 14,15 It is well known that except for switching items, non-smooth non-linearities (such as terminal sliding mode) can also achieve high precision convergence in finite time.…”

Section: Introductionmentioning

confidence: 99%

Output feedback sliding mode control based on non-singular terminal sliding mode observer

Chen

Chao

Dong

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part I:

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In this article, the finite-time output feedback sliding mode control problem is investigated for a class of continuous-time linear systems with unmeasurable states. First, a novel terminal sliding mode observer is established to estimate the unmeasured system states. Second, a novel integral sliding surface is introduced with tunable parameters. Then, an output feedback sliding mode controller with power terms is constructed to drive the given system to the origin in a finite time. A switching from the terminal sliding mode to a usual sliding manifold is taken to avoid singularity problem. Finally, two application-oriented examples are offered to verify the effectiveness of the proposed algorithm.

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Design of Fuzzy State Observer and Mobile Sensor Guidance for Semilinear Parabolic PDE Systems

Cited by 10 publications

References 29 publications

State estimation for linear time‐delay distributed parameter systems with mobile sensors

State estimation for linear time‐delay distributed parameter systems with mobile sensors

Dynamic event–triggered security control for stochastic partial differential equation systems via a unified pointwise measurement/control strategy

Output feedback sliding mode control based on non-singular terminal sliding mode observer

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