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Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
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In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
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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.
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Trajectory Tracking Using Cumulative Risk-Sensitive Finite Impulse Response Filters.

Yi Liu1, Shunyi Zhao1

  • 1Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Jiangnan University, Wuxi 214000, China.

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Summary

This study introduces a new robust finite impulse response (FIR) filter for precise trajectory tracking in autonomous systems. The novel filter significantly reduces errors and improves robustness in complex, uncertain environments.

Keywords:
FIR filtersrisk sensitiverobust filterstrajectory tracking

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Area of Science:

  • Robotics and Control Systems
  • Signal Processing

Background:

  • Trajectory tracking is essential for autonomous driving and robotic motion control.
  • Existing Infinite Impulse Response (IIR) filters face limitations in complex, dynamic environments due to model uncertainties.

Purpose of the Study:

  • To propose a novel robust finite impulse response (FIR) filter for enhanced trajectory tracking accuracy and robustness.
  • To address limitations of IIR filters by integrating a cumulative risk-sensitive criterion into an FIR structure.

Main Methods:

  • Development of a novel robust finite impulse response (FIR) filter.
  • Integration of a cumulative risk-sensitive criterion with the FIR filter structure.
  • Validation through comprehensive vehicle trajectory tracking experiments.

Main Results:

  • The proposed FIR filter significantly reduces average tracking error compared to Kalman Filter (KF), Risk-Sensitive Filter (RSF), and Unbiased FIR (UFIR) filter.
  • Demonstrated superior robustness in complex and uncertain environmental scenarios.
  • Effective mitigation of model mismatches and temporary modeling uncertainties.

Conclusions:

  • The novel robust FIR filter offers an effective solution for trajectory tracking applications.
  • The filter shows high suitability for dynamic and uncertain environments common in autonomous systems.
  • This work has broad potential for practical implementation in autonomous driving and robotics.