Tracking control of state constrained fractional order nonlinear systems
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Changhui Wang1, Xiao Li1, Limin Cui1
1School of Electromechanical and Automotive Engineering, Yantai University, 32 Qingquan Road, Laishan District, Yantai, PR China.
Abstract:
This article investigates adaptive output-feedback control problems for full-state constrained fractional order uncertain strict-feedback systems with unmeasured states and input saturation. By considering the structure of the systems, a fractional order observer is framed to estimate unmeasurable states. By using the backstepping procedure and barrier Lyapunov function, the adaptive controller with adaptation laws are proposed in each step. With the Lyapunov stability theory for fractional order systems, it proves all the states remain in their constraint bounds and the error system converges to a bounded set containing the origin. In the end, Two examples are presented to show the effectiveness of the designed control scheme.
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