Estimator Design for Stochastic Port‐Hamiltonian Systems With Unknown Loads

Authors

Xiaofeng Zong, Zi‐Xuan Wang

Abstract

              Practical circuit systems frequently suffer from noise and unknown loads, which are prevalent industrial phenomena. This paper addresses these challenges by proposing a systematic estimator design methodology and an adaptive proportional‐integral (PI) control strategy for stochastic port‐Hamiltonian systems (SPHSs) with unknown loads. The state‐dependent nature of multiplicative noise fundamentally disrupts conventional passivity‐based control approaches for SPHSs, necessitating both a reconstructed passivity framework and innovative control architecture. We develop stochastic passivity theory via infinitesimal generator analysis for systems with measurable states, which enables PI control implementation under constant passivation conditions. For SPHSs where standard passivity theory becomes inapplicable due to unknown loads, we propose specialized estimators for real‐time parameter identification and a corresponding adaptive PI control scheme with guaranteed stability. Experimental validation through comprehensive simulations on a three‐phase rectifier system with multiplicative noise confirms the framework's effectiveness.

Citation

• Journal: International Journal of Robust and Nonlinear Control
• Year: 2026
• Volume:
• Issue:
• Pages:
• Publisher: Wiley
• DOI: 10.1002/rnc.70604

BibTeX

@article{Zong_2026,
  title={{Estimator Design for Stochastic Port‐Hamiltonian Systems With Unknown Loads}},
  ISSN={1099-1239},
  DOI={10.1002/rnc.70604},
  journal={International Journal of Robust and Nonlinear Control},
  publisher={Wiley},
  author={Zong, Xiaofeng and Wang, Zi‐Xuan},
  year={2026}
}

Download the bib file

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