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Second Order systems II01:18

Second Order systems II

406
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
406
First Order Systems01:21

First Order Systems

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First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
427
Second Order systems I01:20

Second Order systems I

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A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
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Thermodynamic Systems01:06

Thermodynamic Systems

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A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
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Classification of Systems-I01:26

Classification of Systems-I

592
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
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Classification of Systems-II01:31

Classification of Systems-II

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Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
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Updated: Jan 30, 2026

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Stimuli-Responsive Systems in Optical Humidity-Detection Devices.

Sergio Calixto1, Valeria Piazza2, Virginia Francisca Marañon-Ruiz3

  • 1Centro de Investigaciones en Óptica, Loma del Bosque 115, Leon C.P. 37150, Gto., Mexico. scalixto@cio.mx.

Materials (Basel, Switzerland)
|January 24, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a spark-free optical method using stimuli-responsive materials like gelatin to measure relative humidity (RH). Changes in film thickness and refractive index due to water absorption alter light diffraction intensity, enabling accurate RH detection.

Keywords:
climatic chamberdiffraction gratingsgelatininterpenetrated polymerspermeabilityrelative humiditystimuli-responsive materials

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Area of Science:

  • Materials Science
  • Optical Physics
  • Environmental Sensing

Background:

  • Electronic relative humidity (RH) sensors pose risks in explosive environments due to potential sparks.
  • A need exists for spark-free, reliable RH measurement techniques.

Purpose of the Study:

  • To develop and demonstrate a novel, spark-free optical method for RH detection.
  • To utilize stimuli-responsive materials for RH sensing applications.

Main Methods:

  • Employing hydrophilic materials (gelatin, interpenetrated polymers) that swell upon water vapor absorption.
  • Integrating surface diffraction gratings onto the material films.
  • Utilizing an optical configuration to measure changes in diffracted light intensity correlated with RH levels.

Main Results:

  • Water vapor absorption causes changes in film thickness and refractive index.
  • These physical changes alter the diffraction grating's surface modulation.
  • A direct relationship between diffracted light intensity and RH was established through calibration.

Conclusions:

  • Stimuli-responsive materials offer a viable platform for spark-free optical RH sensing.
  • The proposed diffraction grating method provides a sensitive and safe approach to RH measurement.
  • This technique is particularly suitable for hazardous environments where electronic sensors are not feasible.