ODE Solvers in the Control System Toolbox Many of the functions of the Control System toolbox can be used to solve linear. time-invariant (constant-coefficient) differential equations. They are sometime more convenient to use and more powerful than the ODE solvers...

Velocity from an Accelerometer An accelerometer measures acceleration and is used in aircraft, rockets, and other vehicles to estimate the vehicle’s velocity and displacement. The accelerometer integrates the acceleration signal to produce an estimate of the...

Advanced Solver Syntax The complete syntax of the ODE solver is as follows and is summarized in Table 8.8-1. [t, y) = ode23(‘ydot’, tspan, yO, options, pl . p2, … ) where the options argument is created with the new odeset function, and pl , p2,...

Extension to Higher-Order Equations To use the ODE solvers to solve an equation higher than order 2, you must first write the equation as a set of first-order equations. This is easily done. Consider the second-order equation 5y + 7y +4y = f(/) (8.6-1) Solve it for...

Trapezoidal Profile for a de Motor ih many applications we want to accelerate the motor to a desired speed and allow it to ru at that-speed for some time before decelerating to a stop. Investigate whether an appli ‘. – voltage having a trapezoidal profile...

SUMMARY The solutions obtained in this section can be used to check the results of a numerical solution technique. In addition, these solutions have also pointed out the following facts that will be helpful for properly using the numerical techniques presented in the...