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Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output

Ce Liu1, Junyong Zhai1

  • 1School of Automation, Southeast University, Nanjing, Jiangsu 210096, China.

ISA Transactions
|May 6, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces an adaptive output feedback controller for high-order stochastic nonlinear systems. The method ensures system state convergence and dynamic gain boundedness, proving effective in simulations.

Keywords:
Dynamic gainHigh-order stochastic nonlinear systemsHomogeneous output feedback controllerUncertain output function

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Area of Science:

  • Control Theory
  • Stochastic Systems
  • Nonlinear Dynamics

Background:

  • Designing controllers for high-order stochastic nonlinear systems (SNSs) with uncertain outputs presents significant challenges.
  • Existing methods often struggle with guaranteed state convergence and boundedness under stochastic disturbances.

Purpose of the Study:

  • To develop an adaptive output feedback controller for high-order SNSs with uncertain output functions.
  • To ensure the convergence of system states and the boundedness of controller gains in probability.
  • To extend the controller design to upper-triangular SNSs.

Main Methods:

  • A homogeneous observer and output feedback controller were designed using the power integrator method for the nominal system.
  • A dynamic gain technique was incorporated into the observer and controller design.
  • The approach was extended to handle upper-triangular SNSs.

Main Results:

  • The proposed controller guarantees the convergence of the original system states.
  • The dynamic gain of the controller is proven to be bounded in probability.
  • The effectiveness of the controller was demonstrated through two numerical examples.

Conclusions:

  • The developed adaptive output feedback controller is effective for high-order SNSs with uncertain output functions.
  • The dynamic gain technique provides robustness and stability guarantees.
  • The controller design is applicable to a broader class of upper-triangular SNSs.