I know there exists ways to determine the sliding surface parameter values for an SMC design but I need some good literature on it so as to get to the grass root level of this procedure.
I intend to design the sliding surface parameters of a 4th order system and I can't do that using heuristic methods.
Please advise.
Hi,
my last paper of IJC june 2016, responds exactly to your need
https://www.researchgate.net/publication/310542301_Stabilization_of_Perturbed_Chains_of_Integrators_using_Lyapunov-Based_Homogeneous_Controllers
In addition, if you want to get a continuous robust controller, you can use my generalisation to supertwisting for arbitrary order, accepte in IEEE TAC - Feb2017
https://www.researchgate.net/publication/313835040_Higher_Order_Super-Twisting_for_Perturbed_Chains_of_Integrators?ev=prf_high
Feel free to contact me on researchgate message for additional information.
Regards
Article Stabilization of Perturbed Chains of Integrators using Lyapu...
Article Higher Order Super-Twisting for Perturbed Chains of Integrators
You may follow this book. This book describes an analytical procedure of sliding surface design
Systems and Control by Stanislaw H. Zak, OXFORD
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