Fractional order sliding mode control with reaching law approach
By Mehmet Önder Efe. Turkish Journal of Electrical Engineering and Computer Sciences, 2010
75 citations recorded by the source corpus.
Fractional order sliding mode control is studied in this paper. The control objectives are achieved by adopting the reaching law approach of sliding mode control. The main contribution of this work is to show that the philosophy of integer order sliding mode control is valid also for the systems represented by fractional order operators. A sufficient condition and its implications for stability are given. Matched and unmatched uncertainties are studied. The attractor nature of the switching manifold is analyzed together with a stable sliding subspace design condition. The claims are justified through a set of simulations and the results obtained are found promising.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/f2399c6b22eb2ce9773ddbb207e1e1530874e553
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
- Amruta Mujumdar
- Bhagyashri Tamhane
- Shailaja R. Kurode
- Dumitru Băleanu
- Xiaozhong Liao
- Mohammad Reza Faieghi
- Hadi Delavari
- Zhe Gao
Citations in the corpus
- Stability analysis of Caputo fractional-order nonlinear systems revisited (2011, methodology): “2 In engineering application for fractionalorder siding mode control [27, 28] we can use Theorem 3.”
- Observer-Based Sliding Mode Control for a Class of Noncommensurate Fractional-Order Systems (2015, background): “2) Synthesis of Control Law: Considering a fractional reaching law given in [24] as”
- Control of an uncertain fractional-order Liu system via fuzzy fractional-order sliding mode control (2012, methodology): “Different kinds of this control technique are studied on different systems (Calderón et al., 2006; Delavari et al., 2010a,b,c,d; Efe, 2010a,b).”
- Integral sliding mode control for fractional-order systems with mismatched uncertainties (2013, background): “However, other types of fractional-order controllers have come into study recently such as the fractional-order optimal control [10], the fractional-order iterative learning control [11], and the fractional-order sliding mode control [12].”