Abstract
This paper studies the problem of bounding the control signal, state variables and state variables variations in the discrete time sliding mode control approach with external disturbances and time varying system’s uncertainties. Presented results provide sufficient conditions for the fastest, monotonic, finite time convergence of the representative point to the predefined switching hyperplane, at the same time preserving the mentioned limitations. These conditions have the linear forms, therefore they can be easily verified, using the linear optimization methods. The results extend our previous research on this issue. The comparison is depicted in the simulation example.
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Jaskuła, M., Leśniewski, P. (2021). State and Control Signal Limitations in Discrete Time Sliding Mode Control with Time Varying System’s Uncertainties. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2021: Recent Achievements in Automation, Robotics and Measurement Techniques. AUTOMATION 2021. Advances in Intelligent Systems and Computing, vol 1390. Springer, Cham. https://doi.org/10.1007/978-3-030-74893-7_12
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