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Related Concept Videos

State Space Representation01:27

State Space Representation

682
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...
682
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

433
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
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State Space to Transfer Function01:21

State Space to Transfer Function

671
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:
671
Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

459
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
459
Second Order systems II01:18

Second Order systems II

465
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.
465
Transfer Function to State Space01:23

Transfer Function to State Space

936
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...
936

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Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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Composite disturbance rejection control based on generalized extended state observer.

Yanjun Zhang1, Jun Zhang1, Lu Wang1

  • 1Department of Automation; Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai Jiao Tong University, Shanghai 200240, PR China.

ISA Transactions
|May 1, 2016
PubMed
Summary
This summary is machine-generated.

This study introduces a generalized extended state observer (ESO) for improved disturbance rejection. The new method enhances control accuracy by utilizing system information for a more effective reconstruction strategy.

Keywords:
Aircraft controlDisturbance rejectionGeneralized extended state observer (ESO)System reconstruction

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Area of Science:

  • Control Systems Engineering
  • Robotics and Automation
  • Mechanical Engineering

Background:

  • Traditional extended state observers (ESO) lack analysis of system reconstruction strategies.
  • Prior system information is not leveraged to improve control accuracy in existing ESO designs.

Purpose of the Study:

  • To propose a composite disturbance rejection control strategy using a generalized ESO.
  • To enhance control accuracy by reconstructing the system based on an equivalent disturbance model.

Main Methods:

  • Analysis of traditional ESO disturbance rejection performance.
  • System reconstruction using an equivalent disturbance model.
  • Proposal and convergence analysis of the generalized ESO with a feedback controller.

Main Results:

  • The generalized ESO successfully handles external disturbances in a second-order mechanical system with a known model.
  • Simulation results validate the effectiveness of the proposed generalized ESO.

Conclusions:

  • The proposed generalized ESO offers improved disturbance rejection capabilities.
  • The method demonstrates effectiveness in practical applications like aircraft attitude tracking.