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Related Concept Videos

State Space Representation01:27

State Space Representation

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The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
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Meristems and Plant Growth

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Plants grow throughout their lives; this is called indeterminate growth, and it distinguishes plants from most animals. Although certain parts of plants stop growing (e.g., leaves and flowers), others grow continuously—like roots and stems.
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State Space to Transfer Function01:21

State Space to Transfer Function

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The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
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Light Acquisition02:16

Light Acquisition

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In order to produce glucose, plants need to capture sufficient light energy. Many modern plants have evolved leaves specialized for light acquisition. Leaves can be only millimeters in width or tens of meters wide, depending on the environment. Due to competition for sunlight, evolution has driven the evolution of increasingly larger leaves and taller plants, to avoid shading by their neighbors with contaminant elaboration of root architecture and mechanisms to transport water and nutrients.
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Transfer Function to State Space01:23

Transfer Function to State Space

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State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an RLC...
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Semisupervised Deep State-Space Model for Plant Growth Modeling.

S Shibata1, R Mizuno1, H Mineno2,3

  • 1Graduate School of Integrated Science and Technology, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu, Shizuoka 432-8011, Japan.

Plant Phenomics (Washington, D.C.)
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Summary

This study introduces a semisupervised deep state-space model (SDSSM) for plant growth modeling. SDSSM improves sugar content control in crops by accurately estimating time-series variations and reducing errors by 38%.

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Area of Science:

  • Agricultural Science
  • Artificial Intelligence
  • Machine Learning

Background:

  • Optimal control of crop sugar content is crucial for stable, high-quality fruit production.
  • Current methods for measuring sugar content are manual and data is sparse due to limited remote sensing technology.
  • Model-based reinforcement learning (RL) offers a promising approach for optimizing crop management through environmental modeling.

Purpose of the Study:

  • To develop an advanced plant growth model for precise sugar content control in fruiting crops.
  • To address the challenge of sparse sugar content data in plant growth modeling.
  • To integrate a novel semisupervised deep state-space model (SDSSM) with model-based RL for enhanced crop cultivation.

Main Methods:

  • Proposed a semisupervised deep state-space model (SDSSM), integrating semisupervised learning into a sequential deep generative model.
  • Utilized SDSSM for plant growth modeling as an environmental model within a model-based RL framework.
  • Employed cross-validation for comparative evaluation using tomato greenhouse cultivation data.

Main Results:

  • SDSSM demonstrated high generalization performance by inferring unobserved data and efficiently using sparse training data.
  • The model achieved a 38% reduction in mean absolute error for sugar content estimation compared to supervised learning algorithms.
  • SDSSM successfully estimated time-series sugar content variations and validated uncertainty.

Conclusions:

  • SDSSM shows significant potential for accurate time-series sugar content estimation in plant growth modeling.
  • The developed model enhances the optimal control of sugar content for high-quality fruit cultivation using model-based RL.
  • This approach effectively addresses data sparsity challenges in agricultural applications.