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1 數位控制(四). 2 Polynomial in z or z -1 It is preferable to express X(z) as a ratio of polynomials in z, rather than z -1.

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Presentation on theme: "1 數位控制(四). 2 Polynomial in z or z -1 It is preferable to express X(z) as a ratio of polynomials in z, rather than z -1."— Presentation transcript:

1 1 數位控制(四)

2 2 Polynomial in z or z -1 It is preferable to express X(z) as a ratio of polynomials in z, rather than z -1.

3 3 Inverse z transform Direct division method Computational method MATLAB approach Difference equation approach Partial-fraction-expansion method Inversion integral method

4 4 Direct division method

5 5 MATLAB approach invz.m X(z) G(z) Y(z) x(k) G(z) y(k)

6 6 Difference equation approach

7 7 Partial-Fraction-Expansion Method

8 8

9 9 Inversion Integral Method

10 10 Z transform method for solving difference equation

11 11 Difference equation example

12 12 z Plane Analysis of Discrete-Time Control System z transform method is useful for Single-Input- Single-Outout (SISO) system. Multi-Input-Multi-Outout (MIMO) will be introduced in Chapter 5. It enable us to apply conventional continuous- time design method to discrete-time system. s domain technique

13 13 SISO / MIMO

14 14 Impulse sampling

15 15 Exercise 2 Ogata B-2-8 B-2-9


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