Sentence examples for using the nonlinear system from inspiring English sources

In the EKF, the nonlinear system can be linearized utilizing the Taylor series expansion for variance propagation while the prediction of the state vector and measurement vector are conducted using the nonlinear system (Gao et al. 2014; Arasaratnam & Haykin 2009).

Both full-order and reduced-order H∞ controllers are verified by simulation results obtained using the nonlinear A/C system model.

Recent work shows that nonlinearity measures characterize the magnitude of the modeling error when an optimal linear model is used for the nonlinear system.

The proposed schemes were tested using the nonlinear model of the system.

The proposed friction compensator cancels the real nonlinear friction of feed drive systems by using the nonlinear friction model proposed in this study and introduces virtual linear friction to facilitate the control system design.

In this paper, a first-order system least squares finite element formulation is used to solve the nonlinear system of model equations using different iteration techniques, including an approach where the equations are fully coupled and two other approaches in which the equations are decoupled.

Table 2 summarizes the results for different input perturbation functions, input perturbation energies (|| u||2), and output variables using simulations of the nonlinear system.

Two different constitutive models for the matrix and the clay platelets are used; the nonlinear coupled system consisting of the equilibrium equation and a diffusion-type equation governing the phase field evolution are solved via a Newton Raphson approach.

Using this nonlinear system, the controllable canonical dynamical model is experimentally validated for a servo-hydraulic actuator coupled with a nonlinear physical system.

Using the aforementioned nonlinear system, a predictive turbidity model was built, calibrated, and verified.

The principle of virtual work (variational form) is used to setup the nonlinear system of equations.