An adaptive sliding mode controller design to cope with unmatched uncertainties and disturbance in a MEMS voltage reference source

Continuous sliding mode control for uncertain linear time-invariant systems with matched and unmatched uncertainties using the Lyapunov-function integral sliding mode

“…Miranda-Colorado et al (2017) combined the ISM technique with the nonlinear H ∞ control techniques. Ranjbar et al (2021) used an adaptive SMC to supplement the classical proportional–integral (PI) control to suppress the unmatched parametric uncertainty. Ur Rehman et al (2020) proposed an adaptive SMC method based on the super-twisting algorithm (STA) by transforming a plant with unmatched uncertainties into a plant with matched uncertainties.…”

“…In recent years, many types of treatments for unmatched uncertainties and disturbances have been reported. Some scholars combined classical robust control of the nominal systems with SMC methods (Choi, 2007;Kurkcu et al, 2018;Li et al, 2015;Marwa et al, 2017;Miranda-Colorado et al, 2017;Ranjbar et al, 2021;Saad et al, 2016;Ur Rehman et al, 2020;Wang et al, 2017Wang et al, , 2018aWang et al, , 2018bYang et al, 2018). For example, Choi (2007) combined the integral sliding mode (ISM) technique with robust control methods based on linear matrix inequality (LMI) techniques.…”