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- Title
Sliding mode tracking control using finite‐time differentiator in high‐orders nonlinear systems with output stochastic signals.
- Authors
Ma, Ruizi; Yan, Tianhong
- Abstract
Summary: This article presents sliding mode tracking control using finite‐time nonlinear differentiator (FND) to the high‐orders nonlinear systems that states are unknown and the output measurement signals involves stochastic disturbances. The FND using singular perturbation technique is applied to estimate the unknown states in the tracking system, and not rely on the model information under the condition of output stochastic signals. The stochastic noises involved in the output measurement signals are restrained sufficiently by the FNDs. The design of sliding mode tracking controller using FND reduces the chattering phenomenon efficiently. The analysis of systems stability and differentiator robustness is demonstrated. The comparative simulation results show that the sliding mode controller using FND track the desired trajectory in high accuracy with tracking errors fast convergence.
- Subjects
SLIDING mode control; STOCHASTIC systems; NONLINEAR systems; SINGULAR perturbations; SYSTEM analysis; INFORMATION modeling
- Publication
International Journal of Robust & Nonlinear Control, 2020, Vol 30, Issue 16, p6961
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.5152