We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Robust $(\mathcal{Q},\mathcal{S},\mathcal{R})$-$\gamma$-dissipative sliding mode control for uncertain discrete-time descriptor systems with time-varying delay.
- Authors
Kchaou, Mourad; Mahmoud, Magdi S
- Abstract
In this study, a robust sliding mode-based learning control strategy for a class of non-linear discrete-time descriptor systems with time-varying delay and external disturbance is developed. A new sliding function is proposed and a sufficient condition is derived to guarantee the sliding mode dynamics to be robustly admissible and $$(\mathcal{Q},\mathcal{S},\mathcal{R})$$ - $$\gamma$$ -dissipative. Moreover, a sliding-mode control law is proposed such that the reaching motion satisfies the discrete-time sliding mode reaching condition for all admissible uncertainties and time-varying delay. The appealing attributes of this approach include: (i) the closed-loop system exhibits a strong robustness against uncertain dynamics and (ii) the control scheme enjoys the chattering-free characteristic. Two representative examples are given to illustrate the theoretical developments.
- Subjects
DISCRETE-time systems; TIME-varying systems; SLIDING mode control; DESCRIPTOR systems; TIME delay systems; NUCLEAR reactors
- Publication
IMA Journal of Mathematical Control & Information, 2018, Vol 35, Issue 3, p735
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw074