Robust stability analysis of uncertain fractional order neutral-type delay nonlinear systems with actuator saturation. (English) Zbl 1481.93105
Summary: In this paper, we study the robust stability of uncertain fractional order (FO) nonlinear systems having neutral-type delay and input saturation. From the Lyapunov-Krasovskii functional, sufficient criteria on asymptotic robust stability of such FO systems with the help of linear matrix inequalities are specified to compute the gain of state-feedback controller. An optimization is also derived using the cone complementarity linearization method for finding the controller gains subject to maximizing the domain of attraction. The main results are confirmed via numerical examples.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 93D09 | Robust stability |
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K40 | Neutral functional-differential equations |
| 93C10 | Nonlinear systems in control theory |
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