The nonlinear pendulum always oscillates

Defining low-dose corticosteroid: the pendulum still oscillates.

The patients with severe CAP and sepsis may have adrenal insufficiency. In this retrospective analysis, neither the cortisol level at baseline nor the response to corticotrophin testing has been mentioned, to assess for possible adrenal insufficiency. Therefore, the role of corticosteroids in management of severe CAP should be based on the assessment for adrenal reserve before drawing any concl...

2 Example : The Nonlinear Pendulum

We provide new existence and uniqueness results for the discrete-time Hamilton (DTH) equations of a symplectic-energy-momentum (SEM) integrator. In particular, we identify points in extended-phase space where the DTH equations of SEM integration have no solution for arbitrarily small time steps. We use the nonlinear pendulum to illustrate the main ideas. 1 Background Is symplectic-energy-moment...

A Nonlinear Observer for the Inverted Pendulum

This paper deals with the design of a nonlinear observer for the inverted pendulum. The observer uses the standard structure of the linear observer with the linear model replaced by a nonlinear model. Nominal observer gains are determined from a linearized model. This model is also used to find a compromise between robustness and performance. The stability of the observer is then discussed and ...

Nonlinear Control of the Inertia Wheel Pendulum

Nonlinear Control Strategies for the Furuta Pendulum

The problem of swinging the Furuta pendulum up is usually solved by a hybrid controller where the global problem is broken down into two steps. First, an injection of energy leads the pendulum near the upright position. Then the pendulum is stabilized at this position. In this paper, different control strategies for both problems are analyzed both by simulation and using an actual laboratory pe...