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Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
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Fixed-time ESO based fixed-time integral terminal sliding mode controller design for a missile.

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This study introduces a novel fixed-time control strategy for guidance and control systems. The proposed method enhances system stability and disturbance rejection for improved performance.

Keywords:
Extended state observerFixed-time stabilityIntegral terminal sliding mode controllerPartial integrated guidance and control

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Area of Science:

  • Control Systems Engineering
  • Nonlinear Control Theory
  • Guidance Systems

Background:

  • Traditional control methods often struggle with finite-time convergence and external disturbances.
  • Integral terminal sliding mode control can suffer from singularity issues.
  • Accurate estimation of system states and disturbances is crucial for effective control.

Purpose of the Study:

  • To develop a novel fixed-time integral terminal sliding mode controller for partial integrated guidance and control.
  • To design a fixed-time extended state observer for disturbance compensation.
  • To ensure arbitrary-order fixed-time stability for the controlled system.

Main Methods:

  • Utilizing a homogeneous approach to propose arbitrary-order systems with fixed-time stability.
  • Designing an arbitrary-order fixed-time integral terminal sliding mode controller to avoid singularity.
  • Constructing a new fixed-time extended state observer to actively compensate for unknown target acceleration disturbances.

Main Results:

  • The proposed controller achieves arbitrary-order fixed-time stability with a bounded convergence time.
  • The integral terminal sliding mode control design successfully avoids the singular problem.
  • The fixed-time extended state observer effectively compensates for unknown target acceleration.

Conclusions:

  • The novel fixed-time controller and observer demonstrate effectiveness in numerical simulations.
  • The proposed approach offers a robust solution for guidance and control problems with disturbances.
  • This work advances fixed-time control theory for complex dynamic systems.