We consider sliding-mode control systems subject to unmatched disturbances. Classical first-order sliding-mode techniques are capable to compensate unmatched disturbances if differentiations of the output of sufficiently high order are included in the sliding variable. For such disturbances it is commonly assumed that they do not affect the relative degree of the system. In this contribution we consider disturbances that alter the relative degree of the process and study their impact on the closed-loop control system with the classical first-order sliding-mode design. We analyse the reaching and sliding phase of the resulting closed-loop system. We show that uniqueness of the solution may be lost and derive conditions for such behaviour. We present conditions for the stability of the sliding-mode dynamics and analyse the disturbance rejection properties. A simulation case study of a two-mass spring-damper system illustrates the various closed-loop behaviours.
Analysis of Sliding-Mode Control Systems with Unmatched Disturbances Altering the Relative Degree
IFAC-PapersOnLine ; 53 , 2 ; 5122-5128
2020
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Analysis of sliding-mode control systems with unmatched disturbances altering the relative degree
BASE | 2021
|Compensation of Unmatched Disturbances via Sliding-Mode Control
Springer Verlag | 2020
|Integral Sliding Mode Autopilot for Rocket Stabilization with Unmatched Disturbances
British Library Conference Proceedings | 2012
|Missile Sliding Mode Control Using Generalized Relative Degree
TIBKAT | 2022
|