Filtered backstepping controller for a nonlinear singularly perturbed switched systems based on contraction analysis

Key Points

• The filtered backstepping controller successfully stabilizes nonlinear systems under singular perturbations.
• Key metrics show significant improvement in system response time and stability under contraction analysis.
• Observational analysis applies a filtered backstepping approach to nonlinear switched systems for accurate results.
• This approach supports enhanced control strategies for complex system dynamics, but further testing in real-world applications is needed.