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Related Concept Videos

Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
State Space Representation01:27

State Space Representation

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...
Application of Linearization and Approximation01:29

Application of Linearization and Approximation

A drone flying through complex terrain often relies on more than one sensing method to estimate small changes in altitude. Along with direct measurements, air pressure provides a useful indirect indicator of vertical movement. Atmospheric pressure decreases as altitude increases, and this relationship is commonly described using an exponential model. Although accurate, converting pressure measurements into altitude values requires calculations that are too complex to perform repeatedly during...
Multimachine Stability01:25

Multimachine Stability

Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
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Linear Approximation in Frequency Domain01:26

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Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

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Related Experiment Video

Updated: Jun 2, 2026

An Experimental Platform to Study the Closed-loop Performance of Brain-machine Interfaces
10:51

An Experimental Platform to Study the Closed-loop Performance of Brain-machine Interfaces

Published on: March 10, 2011

Moving-horizon state estimation for nonlinear systems using neural networks.

Angelo Alessandri1, Marco Baglietto, Giorgio Battistelli

  • 1Department of Production Engineering, Thermoenergetics,and Mathematical Models, University of Genoa, Genova, Italy. alessandri@diptem.unige.it

IEEE Transactions on Neural Networks
|May 10, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces a novel moving-horizon (MH) state estimation method for nonlinear systems with bounded noise. The approach uses neural networks to reduce computational load, offering an effective alternative to existing techniques.

Related Experiment Videos

Last Updated: Jun 2, 2026

An Experimental Platform to Study the Closed-loop Performance of Brain-machine Interfaces
10:51

An Experimental Platform to Study the Closed-loop Performance of Brain-machine Interfaces

Published on: March 10, 2011

Area of Science:

  • Control Engineering
  • Nonlinear System Analysis
  • Computational Intelligence

Background:

  • Moving-horizon (MH) state estimation is crucial for nonlinear discrete-time systems.
  • Systems are often affected by bounded noises in both system and measurement equations.
  • Minimizing a sliding-window least-squares cost function is a common but computationally intensive approach.

Purpose of the Study:

  • To develop an efficient MH state estimation technique for nonlinear discrete-time systems with bounded noises.
  • To reduce the online computational effort associated with MH estimation.
  • To leverage parameterized approximating functions for improved design.

Main Methods:

  • Employing nonlinear parameterized approximating functions, specifically feedforward neural networks.
  • Implementing a sliding-window least-squares cost function minimization.
  • Allowing for suboptimal solutions by permitting a certain error in cost function minimization.
  • Utilizing offline optimization of neural network parameters.

Main Results:

  • The proposed MH estimation scheme significantly reduces online computational requirements.
  • Simulation results demonstrate the effectiveness of the neural network-based approach.
  • The method shows comparable or superior performance against other estimation techniques.

Conclusions:

  • The developed MH state estimation method effectively handles nonlinear systems with bounded noise.
  • The use of offline-optimized neural networks provides a computationally efficient solution.
  • This approach offers a promising alternative for practical state estimation problems.