Purchase Solution

Linear equation

Not what you're looking for?

Ask Custom Question

A magnetically suspended steel ball can be described by the linear equation as shown in the attachment.

The state variables are x1 = position, and x2 = velocity, and both are measurable. Select a feedback format so that the system is critically damped and the settling time (2% criterion) is 2 seconds. Solve for k1 and k2.

Attachments
Purchase this Solution
Solution Summary

Response finds k1 and k2 by finding the characteristic polynomial of a matrix (constructed from given data) and equating that to the desired characteristic polynomial.

Purchase this Solution
Free BrainMass Quizzes
Air Pollution Control - Environmental Science

Working principle of ESP

Architectural History

This quiz is intended to test the basics of History of Architecture- foundation for all architectural courses.

View More Free Quizzes
Related BrainMass Solutions

  • Linear equations

    195147 Linear equations polynomial 1. Form each of the following: ? A linear equation in one variable ? A linear equation in two variables ? A quadratic equation ? A polynomial of three terms ? An exponential function ?

  • Algebra: Equations Problems

    Solve and check the linear equation. 7x - 9 = -10 + 4x A) B) C) D) 4.) Solve and check the linear equation. (-5x + 4) - 5 = -4(x - 7) A) {19} B) {- 6} C) {29} D) {- 29} 5.) Solve and check the linear equation.

  • Algebra - Linear Equations

    A linear equation has a finite (limited) number of solutions while the linear inequality has a range (set) of solutions. One fundamental difference between a linear equation and a linear inequality lies in the number of possible solutions.

  • Solving 3 Questions Relating to Power Model

    Linear equation because it has a lower standard error than the power model. Power equation because it has a lower standard error than the linear model.

  • explain why following equation is or is not linear.

    d. 1500X + 200Y + 1000Z > 7500 This equation is linear as all the variables have power of 1. e. 2000X ≥ 1500Z + 750 This equation can also be written as: 2000X-1500Z>=750 This is a linear equation as all the variables have power of 1.

  • Non-Homogeneous Linear Partial Differential Equation

    14959 Non-Homogeneous Linear Partial Differential Equation Linear Partial Differential Equation (II) Non- Homogeneous Linear Partial Differential Equation with Constant Coefficients

  • Parametrics Question

    B) Power equation because it has a higher standard error than the linear model. C) Linear equation because it has a lower standard error than the power model.

  • solving any linear equation

    Using the same 1-variable linear equation in I above, change the linear equation to a linear inequality (Use either < or >). Explain the techniques, and show the steps used for manipulating the linear inequality.

  • Linear Homogeneous Partial Differential Equation

    Linear Partial Differential Equation (I) Linear Homogeneous Partial Differential Equation with Constant Coefficients

  • MA105 Homework Assistance (30 questions)

    Solve and check the linear equation... Determine whether the equation is an identity, a conditional equation, or an inconsistent equation... Solve and check the linear equation... Write the English sentence as an equation in two variables.

View More Related Solutions