Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control

Guo, Wei; Guo, Bao‐Zhu

doi:10.1080/00207179.2011.557092

Cited by 18 publications

(9 citation statements)

References 37 publications

(29 reference statements)

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“…The flexible string [1][2][3] is one of the most popular flexible mechanical structures used in engineering due to its advantages in lightweight, lower cost and higher sensitivity. Driven by the practical motivations, vibration control of flexible structures has received much attention in recent years [4][5][6][7][8][9][10]. However, the flexible string modelled by the distributed parameter system with infinite dimensions [11][12][13] is more difficult for control design and stability analysis comparing with the rigid mechanical system.…”

Section: Introductionmentioning

confidence: 99%

Active vibration control for a flexible string system with input backlash

Zhang

Huang

2016

IET Control Theory & Applications

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Section: Introductionmentioning

confidence: 99%

Active vibration control for a flexible string system with input backlash

Zhang

Huang

2016

IET Control Theory & Applications

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“…Now, the objective is to apply LaSalle's invariance principle in order to prove the asymptotic stability of the observer error, where the proof follows the intention of [22,Sec. 3].…”

Section: B Asymptotic Stability Of the Observer-error Systemmentioning

confidence: 99%

Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String

Malzer,

Rams,

Kolar

et al. 2020

Preprint

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In this paper, the behaviour of the observer error of an in-domain actuated vibrating string, where the observer system has been designed based on energy considerations exploiting a port-Hamiltonian system representation for infinitedimensional systems, is analysed. Thus, the observer-error dynamics are reformulated as an abstract Cauchy problem, which enables to draw conclusions regarding the well-posedness of the observer-error system. Furthermore, we show that the observer error is asymptotically stable by applying LaSalle's invariance principle for infinite-dimensional systems.

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“…[ 1–3 ] Typical hydrogel devices include hydrogel skin, [ 4 ] multifunctional hydrogel fibers, [ 5 ] and intelligent wearable devices. [ 6–9 ] Hydrogels are also used as functional components for sensors, conductors, and batteries. [ 10–14 ] Among these applications, color changing is required for camouflage, anti‐counterfeiting, indication, and so on.…”

Section: Introductionmentioning

confidence: 99%

A Thermochromic Hydrogel for Camouflage and Soft Display

Yin

et al. 2020

Advanced Optical Materials

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hydrogel devices. For example, the conductivity of hydrogels can be enhanced by adding ions or carbon nanomaterials. [20] Adding photochromic, thermochromic, or photonic materials endows hydrogel the ability to change color under certain external stimulations. [21][22][23][24] Using this method, we prepare a novel thermochromic hydrogel by embedding thermochromic capsule powders (TCPs) into the hydrogel (Figure 1, see details in the Experimental Section).TCPs change color in response to temperature. The particles are usually spheres with 3-5 μm in diameters as shown in images of the scanning electron microscope (SEM) (Figure 1a,b). The exterior of the particle is a 0.2-0.5 μm thick transparent shell that neither dissolves nor melts when environment temperature changes. The components of the TCPs are shown in Table S1 in the Supporting Information. The shell protects the components from being eroded by the external environment during the reversible reaction of coloration, so the thermochromic property is quite stable. [25] Besides the shell layer, the thermochromic components consist of two ingredients: a color agent (CA), and a solvent. The critical temperature for color changing is determined by the phase change temperature of the solvent: when the ambient temperature is lower than the critical temperature, the solvent is solid, and the CA displays color 1. As Figure 1c shows, when the temperature rises above the critical temperature, the electron transfer occurs between them resulting in the change of the molecular structure of the CA and the color displayed of the system. [26] Under a certain temperature, the coloration and discoloration reactions reach an equilibrium state, which determines the saturation of the color. Furthermore, the critical temperature can be changed by controlling the melting point of the solvent component. [27] The color of the prepared hydrogel can switch between two modes at a specific temperature with a prompt response. As TCPs can disperse well in water, the addition of a small amount of powders (5 mg mL −1 ) is enough to dye the hydrogel. This color-changing hydrogel has good mechanical properties and retains its ability of color changing even after cyclic loading. To explore the mechanical properties of the thermochromic hydrogel, one may use quasi-static stretching tests to measure the initial modulus of the hydrogel, and cyclic stretching tests to analyze the functional performance of the hydrogel. We characterize the color-changing ability by absorbance spectra at different temperatures through a spectrophotometer. In addition, we demonstrate that this thermochromic hydrogel Recently, hydrogels with coloration have attracted researchers from various fields, such as camouflage, anti-counterfeiting, and soft display. However, existing thermochromic hydrogels are limited by their weak color display performance and insufficient sensitivity. Here proposed is a new kind of thermochromic hydrogel which possesses bright colors, fast response time, and reliable results across a long lif...

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Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control

Cited by 18 publications

References 37 publications

Active vibration control for a flexible string system with input backlash

Active vibration control for a flexible string system with input backlash

Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String

A Thermochromic Hydrogel for Camouflage and Soft Display

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