Abstract: The PID controller is the most versatile controller due to its ease of implementation. However, multi-input control design with PID controller is a challenging task. This paper presents the ...

Previously, the complementary error function and its repeated integrals were given only for small values of the argument. Several new calculation techniques are ...

Abstract: This paper proposes a fractional-order integral sliding mode control (FOISMC) to address the problems of excessive tracking error, slow dynamic response and poor interference immunity in the ...

We derive the mathematical expectation of the projection error (Top left), visualize the graph of the error function under two distinct domains and analyze when this ...

In this paper we design and analyze a class of high order numerical methods to two dimensional Heaviside function integrals. Inspired by our high order numerical methods to two dimensional delta ...