Event-Triggered Sliding Mode Control by Bijnan Bandyopadhyay & Abhisek K. Behera

Author:Bijnan Bandyopadhyay & Abhisek K. Behera
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

From the above Assumptions 3.1 and 3.2, it follows that is also Lipschitz with Lipschitz constant for any and can be shown as

The SMC is designed for this system, and then a sufficient condition is developed for this system when this control is implemented using event-triggered strategy.

3.1.1 Design of Sliding Mode Control

Consider the nonlinear systems given by (3.1)–(3.2). The linear sliding variable is designed for this system and is given by for some . So, the sliding manifold as

(3.3)

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