Adaptive event-triggered tracking control for strict-feedback nonlinear ODE cascaded n+1 coupled hyperbolic PDE systems
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View abstract on PubMed
Summary
This summary is machine-generated.This study introduces adaptive event-triggered tracking control for complex ODE-PDE systems, improving crane system performance. The new method reduces control actions while ensuring system stability and accurate tracking.
Area Of Science
- Control Systems Engineering
- Applied Mathematics
- Robotics
Background
- Addresses challenges in controlling cascaded nonlinear ordinary differential equation (ODE) and hyperbolic partial differential equation (PDE) systems.
- Focuses on systems with uncertainty and strict-feedback configurations, common in applications like crane systems.
- Highlights limitations of existing time-triggered stabilization control for such complex systems.
Purpose Of The Study
- Develop adaptive event-triggered tracking control for a specific class of ODE-PDE systems.
- Overcome difficulties in checking input-to-state stability for nonlinear, uncertain cascaded systems.
- Solve the open problem of boundary event-triggered tracking control for these systems.
Main Methods
- Combines geometric design methods with infinite- and finite-dimensional backstepping techniques.
- Designs an adaptive tracking controller for the nonlinear ODE-PDE system.
- Proposes a dynamic event-triggered mechanism to minimize control actuation frequency.
Main Results
- Successfully constructed an adaptive tracking controller for the challenging system.
- Developed a dynamic event-triggered mechanism that reduces control update frequency.
- Provided rigorous theoretical proof of asymptotic convergence for tracking errors and minimal dwell-time.
Conclusions
- The proposed adaptive event-triggered control scheme effectively manages complex ODE-PDE systems.
- The dynamic event-triggered mechanism enhances control efficiency by reducing actuation.
- Validated through simulations on a crane system, demonstrating practical applicability and effectiveness.
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