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Related Concept Videos

Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Design Example: Underdamped Parallel RLC Circuit01:17

Design Example: Underdamped Parallel RLC Circuit

Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...
Parallel Resonance01:23

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Positive and Negative Feedback Loops01:18

Positive and Negative Feedback Loops

Animal organs and organ systems constantly adjust to internal and external changes through a process called homeostasis ("steady state"). Examples of these changes include regulation of the level of glucose or calcium in the blood or internal responses to external temperatures. Homeostasis requires  maintaining an internal dynamic equilibrium:

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A Microfluidics Approach for the Functional Investigation of Signaling Oscillations Governing Somitogenesis
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A CMOS feedforward neural-network chip with on-chip parallel learning for oscillation cancellation.

J Liu1, M A Brooke, K Hirotsu

  • 1Dept. of Electr. Eng., Texas Univ., Richardson, TX, USA.

IEEE Transactions on Neural Networks
|February 5, 2008
PubMed
Summary

This study introduces a novel neural network chip for real-time adaptation using a genetic random search algorithm. The chip effectively suppresses combustion engine instability, demonstrating its potential for direct feedback control applications.

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Area of Science:

  • Mixed-signal integrated circuit design
  • Artificial intelligence hardware
  • Control systems engineering

Background:

  • Real-time adaptation in control systems is crucial for dynamic environments.
  • Existing neural network chips often require complex error calculation methods.
  • On-chip learning algorithms are needed for efficient, autonomous system control.

Purpose of the Study:

  • To present a mixed-signal CMOS feedforward neural-network chip with on-chip error reduction.
  • To implement and evaluate a genetic random search algorithm (Random Weight Change - RWC) for high-speed parallel learning.
  • To demonstrate the chip's capability as a direct feedback controller for real-time instability suppression.

Main Methods:

  • Designed and fabricated a mixed-signal CMOS feedforward neural-network chip.
  • Integrated on-chip error-reduction hardware for real-time adaptation.
  • Implemented the Random Weight Change (RWC) algorithm, a genetic random search method, for on-chip learning.
  • Conducted hardware experiments using the chip as a direct feedback controller.

Main Results:

  • The chip features compact on-chip weights enabling high-speed parallel learning.
  • The RWC algorithm facilitates learning without requiring a known desired output, suitable for direct feedback control.
  • Hardware experiments successfully demonstrated the RWC chip's ability to suppress unstable oscillations in real time.
  • The chip effectively modeled and controlled combustion engine instability.

Conclusions:

  • The developed mixed-signal CMOS neural-network chip with RWC algorithm offers efficient real-time adaptation.
  • The chip serves as an effective direct feedback controller, capable of suppressing complex system instabilities.
  • This work highlights a promising approach for autonomous control systems in dynamic environments.