Abstract
An alternative stabilization procedure based on a Lyapunov function is presented for PVTOL aircraft. The rotational dynamics of the aircraft is represented with complex numbers, and the controller design procedure is given based on this model. Almost global asymptotic stability of the desired position for the aircraft is shown with a Lyapunov function and by the utilization of LaSalle's invariant set principle. The performance of the developed controller is tested via numerical simulations and the results are presented.
Keywords
Control theory (sociology)
Lyapunov function
Lyapunov redesign
Nonlinear system
Exponential stability
Controller (irrigation)
Invariant (physics)
Function (biology)
Position (finance)
Mathematics
Computer science
Control engineering
Engineering
Control (management)
Physics
Artificial intelligence
Subject Areas
Adaptive Control of Nonlinear Systems
·Control and Systems Engineering ·Physical Sciences
Control and Stability of Dynamical Systems
·Control and Systems Engineering ·Physical Sciences
Stability and Control of Uncertain Systems
·Control and Systems Engineering ·Physical Sciences
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