Question

No.2 (6 points) Given a dynamic system: $y^{(3)}+2y^{(2)}+3y^{(1)}+4y=5u$. What is Order of this Control System? Also please write down both the state equation and output equation for 2 cases: (a) Controllable Canonical Form; (b) Observable Canonical Form.

          No.2 (6 points)
Given a dynamic system: $y^{(3)}+2y^{(2)}+3y^{(1)}+4y=5u$. What is Order of this Control System?
Also please write down both the state equation and output equation for 2 cases: (a)
Controllable Canonical Form; (b) Observable Canonical Form.

No.2 (6 points)
Given a dynamic system: y^(3)+2y^(2)+3y^(1)+4y=5u. What is Order of this Control System?
Also please write down both the state equation and output equation for 2 cases: (a)
Controllable Canonical Form; (b) Observable Canonical Form.

Added by Elena L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Satish Kumar

Step 1

The order of a control system is determined by the highest power of the derivative in the differential equation. In this case, the highest power of the derivative is 1 (y'), so the order of the control system is 1. Show more…

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No.2 (6 points) Given a dynamic system: y^3 + 2y^2 + 3y + 4y = 5u. What is the order of this control system? Also, please write down both the state equation and output equation for 2 cases: (a) Controllable Canonical Form; (b) Observable Canonical Form.