Steady-state, self-oscillating and chaotic behavior of a PID controlled nonlinear servomechanism by using Bogdanov-Takens and Andronov-Poincaré-Hopf bifurcations.
Manuel Pérez-MolinaManuel Pérez PoloPublished in: Commun. Nonlinear Sci. Numer. Simul. (2014)
Keyphrases
- steady state
- nonlinear differential equations
- differential equations
- markov chain
- product form
- explicit expressions
- operating conditions
- control algorithm
- queue length
- heavy traffic
- control method
- arrival rate
- control system
- queueing networks
- state dependent
- queueing model
- loss probability
- steady states
- service times
- qualitative simulation
- boundary value problem
- fluid model
- pid controller
- control scheme
- variance estimator
- dynamical systems