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Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

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Reduced-Order Observer-Based Output-Feedback Tracking Control for Nonlinear Time-Delay Systems With Global Prescribed

Guopin Liu, Ju H Park, Hongshuang Xu

IEEE Transactions on Cybernetics

|March 25, 2022

Summary

This summary is machine-generated.

This study introduces a new output-feedback control for nonlinear time-delay systems, ensuring performance within a specified region. The method enhances prescribed performance control (PPC) by relaxing initial condition constraints for improved tracking.

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Area of Science:

Control Systems Engineering
Nonlinear Dynamics
Systems Theory

Background:

Nonlinear time-delay systems present significant control challenges.
Output-feedback control is crucial for practical applications where full state information is unavailable.
Prescribed Performance Control (PPC) aims to enforce performance bounds but often requires strict initial conditions.

Purpose of the Study:

To develop a novel output-feedback tracking control scheme for nonlinear time-delay systems in strict-feedback form.
To relax the semiglobal restriction on initial conditions in Prescribed Performance Control (PPC).
To design an adaptive fuzzy approximation control strategy for unknown time-delay upper bounds.

Main Methods:

Utilizing a reduced-order state observer.
Applying the backstepping approach for controller design.
Employing fuzzy-logic systems for adaptive approximation of unknown functions.

Main Results:

The proposed control scheme guarantees system transient and steady-state performance within a prescribed region.
The method achieves semiglobal prescribed performance control, relaxing initial condition constraints.
Closed-loop signals are globally ultimately uniformly bounded, achieving global prescribed performance tracking.

Conclusions:

The novel output-feedback control scheme effectively addresses tracking control for nonlinear time-delay systems.
The approach offers enhanced flexibility by relaxing initial condition requirements for PPC.
Adaptive fuzzy approximation provides a robust solution for systems with unknown time-delay bounds.