1987
DOI: 10.1109/tcs.1987.1086242
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Sliding motions in bilinear switched networks

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Cited by 322 publications
(178 citation statements)
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“…Moreover note that the true control can only assume values 0 or 1 (switch on or off). In the theory of Variable Structure Systems it is shown [25] that if resulting from 8 assumes only values within the interval [0, 1], then implementing the control law with a switching realization such that the control to the switch 1 is on if is larger than 0.5 and off if it is smaller than 0.5 results in a stable and robust implementation of the control law.…”
Section: Remarkmentioning
confidence: 99%
“…Moreover note that the true control can only assume values 0 or 1 (switch on or off). In the theory of Variable Structure Systems it is shown [25] that if resulting from 8 assumes only values within the interval [0, 1], then implementing the control law with a switching realization such that the control to the switch 1 is on if is larger than 0.5 and off if it is smaller than 0.5 results in a stable and robust implementation of the control law.…”
Section: Remarkmentioning
confidence: 99%
“…Application of different control methods to power electronics converters has been studied in many papers. For example, feedback linearization (Sanders et al, 1986), sliding mode control (Sira-Ramirez, 1987), PID control (Venkatanarayanan and Saravanan, 2014) and H ∞ design (Rodriguez et al, 2005) has been applied to Cuk converter, Linear Matrix Inequality(LMI) control has been applied to conventional boost by Reddy et al (2015). Discrete time controller has been designed for a boost converter in Alkrunz and Yazıcı (2016).…”
Section: Literature Reviewmentioning
confidence: 99%
“…The existence of the sliding mode requires three conditions (Sira-Ramirez, 1987): transversality, reachability and equivalent control. The transversality condition is fulfilled when the control variable u is present in the surface derivate, which guarantees that the system dynamics can be modified.…”
Section: Sliding-mode Current Controller To Ensure Fast Dynamics Stabmentioning
confidence: 99%