AIRCRAFT NATURAL CONTROL SYNTHESIS: VECTOR LYAPUNOV FUNCTION APPROACH
Lyubomir T.Gruyitch
The paper addresses several new issues by presenting a novel physical principle called the Physical
Continuity and Uniqueness Principle, the concept of elementwise vector Lyapunov functions, the concept of
natural trackability and the concept of the natural tracking control in the framework of the aircraft control.
An aircraft is modeled in a general form of 2D-systems where the inertial term is separated from all other
nonlinearities that are permitted to be completely unknown. Only information required about the
nonlinearities is that about their bounds. In addition, the inertia matrix may be also unknown. It is accepted
that a prespecified high quality of the aircraft dynamic behavior can be elementwise exponential. The vector
Lyapunov function method is used to synthesize an aircraft control completely robust relative to the
uncertainties so that it guarantees simultaneously the high quality of the aircraft motions. This requires the
direct use of the vector Lyapunov function without any application of a scalar Lyapunov function at a final
step of the procedure and/or in the proof. The control algorithm determines a controller that is simple for a
technical implementation.
[Contents]
|
