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October 13, 2025Open Access

The State-Dependent Riccati Equation in Nonlinear Optimal Control: Analysis, Error Estimation and Numerical Approximation

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Authors

LSLuca Saluzzi

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Overview

This analysis examines error estimation and numerical methods in nonlinear optimal control, emphasizing SDRE and HJB interactions.

Key Points

  • The Newton-Kleinman method outperformed other techniques in achieving stable solutions for nonlinear optimal control.
  • Residual-based error estimates quantify the suboptimality of the state-dependent Riccati equation in control applications.
  • Two numerical methods, offline-online and Newton-Kleinman, were assessed for their computational efficiency and accuracy.
  • The analysis highlights the importance of understanding the trade-offs between accuracy and computational resources in control systems.

Cite This Study

Luca Saluzzi (2025) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d12972f0https://doi.org/10.48550/arxiv.2503.01587
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