Event-triggered output feedback control for low-order stochastic nonlinear time-delay systems with stochastic inverse...

Area of Science:

• Control Theory
• Stochastic Systems
• Nonlinear Dynamics

Background:

• Stochastic nonlinear time-delay systems present control challenges.
• Immeasurable stochastic inverse dynamics require advanced control strategies.
• Event-triggered control offers potential for efficiency in such systems.

Purpose of the Study:

• To develop an event-triggered output feedback control scheme.
• To address challenges posed by stochastic inverse dynamics.
• To ensure global asymptotic stability in probability for the closed-loop system.

Main Methods:

• Employing a varying supply rate strategy with stochastic-input-to-state-stable (SISS) properties.
• Designing a novel reduced-order observer with constant gains.
• Developing an event-triggered output feedback controller and analyzing Zeno behavior using a new analytical approach.
• Utilizing Lyapunov stability theory for stability proofs.

Main Results:

• Successfully addressed immeasurable stochastic inverse dynamics.
• Designed a reduced-order observer and an effective event-triggered controller.
• Demonstrated the absence of Zeno behavior.
• Proved global asymptotic stability in probability for the closed-loop system.
• Validated the control scheme through a simulation example.

Conclusions:

• The proposed event-triggered output feedback control scheme is effective for low-order stochastic nonlinear time-delay systems.
• The method ensures system stability and avoids undesirable Zeno behavior.
• The approach offers a robust solution for complex stochastic systems.