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

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.