The idea of bi‐limit homogeneity has been introduced to design the fixed‐time controller with two terms, whose orders are tuning by a bi‐limit–like strategy. That is the orders of the two terms are less than 1 and more than 1, respectively. Meanwhile, by utilizing power integral terms...
This chapter proposes a discrete-time differentiation algorithm of arbitrary order inspired by the uniform robust exact differentiator [ 1 ] and the generalized differentiator with negative homogeneity degree [ 2 ]. As the well-known explicit Euler method is not suitable for discretizing algorithms ...