New methodologies for adaptive sliding mode control

2010/07/21 by Franck Plestan, F. Plestan, Y. Shtessel +5 · 10 citations
Engineering · #Adaptive Control of Nonlinear Systems #Control Systems in Engineering #Iterative Learning Control Systems

paper · doi:10.1080/00207179.2010.501385

Abstract

This article proposes new methodologies for the design of adaptive sliding mode control. The goal is to obtain a robust sliding mode adaptive-gain control law with respect to uncertainties and perturbations without the knowledge of uncertainties/perturbations bound (only the boundness feature is known). The proposed approaches consist in having a dynamical adaptive control gain that establishes a sliding mode in finite time. Gain dynamics also ensures that there is no overestimation of the gain with respect to the real a priori unknown value of uncertainties. The efficacy of both proposed algorithms is confirmed on a tutorial example and while controlling an electropneumatic actuator.

Citations

• Sliding order and sliding accuracy in sliding mode control

Cited by

• Multi-layer barrier function-based adaptive super-twisting controller
• Sliding-Mode Control Strategies for PMSM speed control: A Comprehensive Review, Taxonomy and Research Gaps
• Robust Adaptive Boundary Control of a Thermal Process with Thermoelectric Actuators: Theory and Experimental Validation
• Barrier function-Based Variable Gain Super-Twisting Controller
• Practical stabilization of perturbed integrator chains with unknown bounds
• Reinforcement learning in pursuit-evasion differential game: safety, stability and robustness
• A Novel Modified Super-Twisting Control Augmented Feedback Linearization for Wearable Robotic Systems Using Time Delay Estimation. [europepmc]
• Adaptive Fast Non-Singular Terminal Sliding Mode Path Following Control for an Underactuated Unmanned Surface Vehicle with Uncertainties and Unknown Disturbances. [europepmc]
• Full-order adaptive sliding mode control with extended state observer for high-speed PMSM speed regulation. [europepmc]
• Exponential super-twisting control for nonlinear systems with unknown polynomial perturbations. [europepmc]

Related

• Adaptive sliding mode control without knowledge of uncertainty bounds
• A uniform reaching phase strategy in adaptive sliding mode control
• Adaptive Gains to Super-Twisting Technique for Sliding Mode Design
• New Class K_infinity Function-Based Adaptive Sliding Mode Control Design
• Some Reflections on Sliding Mode Designs in Control Systems: An Example of Adaptive Tracking Control for Simple Mechanical Systems With Friction Without Measurement of Velocity