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This chapter considers the asymptotic estimation of an unknown input for a class of linear systems using a simplified observer structure. By a novel simple matrix decomposition technique, the unknown input is expressed in its simplest form, which contains only one output measurement, its first-derivative, and a linear function of the state vector. Thus, the unknown input can be estimated by using first-derivative of only one output measurement and a reduced-order functional observer.

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Unknown Input Observers Design—Single Unknown Input Case

  • 章节

  • 发表日期：

    2026年

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  • Hieu Trinh,
  • Van Thanh Huynh,
  • Samson Yu,
  • Tyrone Fernando

摘要

This chapter considers the asymptotic estimation of an unknown input for a class of linear systems using a simplified observer structure. By a novel simple matrix decomposition technique, the unknown input is expressed in its simplest form, which contains only one output measurement, its first-derivative, and a linear function of the state vector. Thus, the unknown input can be estimated by using first-derivative of only one output measurement and a reduced-order functional observer.