Title :
A non-quadratic criterion for stability of forced oscillations and its application to flight control
Author :
Pogromsky, Alexander Yu ; Matveev, A.S. ; Andrievsky, Boris ; Leonov, G.A. ; Kuznetsov, N.V.
Author_Institution :
Math. & Mech. Fac., St.-Petersburg State Univ., Peterhof, Russia
Abstract :
A new test for stability of forced oscillations in nonlinear systems is applied to a marginally stable plant of the second order with a saturated PID-control and a harmonic reference signal. The range of its frequencies and amplitudes that guarantee stability of the forced oscillations is found. This result is used for stability analysis of an aircraft roll angle control system.
Keywords :
aircraft control; nonlinear control systems; position control; stability; three-term control; aircraft roll angle control system; flight control; forced oscillations stability; harmonic reference signal; marginal stability; nonlinear systems; nonquadratic criterion; proportional-integral-derivative control; saturated PID control; stability analysis; Aerospace control; Aircraft; Harmonic analysis; Numerical stability; Oscillators; Stability criteria; Lyapunov stability; convergent systems; flight control; incremental stability; nonlinear systems; time-varying systems;
Conference_Titel :
Control Conference (ECC), 2013 European
