Arbitrary-order homogeneous differentiators based on high-order sliding modes are generalized to ensure exact robust kth-order differentiation of signals with a given functional bound of the(κ+1) th derivative. The asymptotic accuracies in the presence of noises and discrete sampling are estimated. The results are applicable for the global observation of system states with unbounded dynamics. Computer simulation demonstrates the applicability of the modified differentiators.
- High-order sliding mode
- nonlinear observers
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering