4 chapter 4 transfer functions

SYSTEM DYNAMICS & CONTROL CHAPTER TRANSFER FUNCTIONS Dr Vo Tuong Quan HCMUT - 2011 Transfer Functions Purpose of transfer function??? A block diagram composes of components  Summing point  Function block  Pickoff point  2011 – Vo Tuong Quan Transfer Functions  2011 – Vo Tuong Quan Transfer Functions Serial transfer functions  2011 – Vo Tuong Quan Transfer Functions Parallel transfer functions  2011 – Vo Tuong Quan Transfer Functions Transfer functions of feedback systems Negative feedback Unity Negative feedback  2011 – Vo Tuong Quan Transfer Functions Transfer functions of feedback systems Positive feedback Unity Positive feedback  2011 – Vo Tuong Quan Transfer Functions Moving a pickoff point behind a block  2011 – Vo Tuong Quan Transfer Functions Moving a pickoff point behind a block  2011 – Vo Tuong Quan Transfer Functions Moving a summing point behind a block 10  2011 – Vo Tuong Quan Transfer Functions Example 1: Solution 16  2011 – Vo Tuong Quan Transfer Functions Example 1: Solution 17  2011 – Vo Tuong Quan Transfer Functions Example 1: Solution 18  2011 – Vo Tuong Quan Transfer Functions Example Find the equivalent transfer function of the following system19  2011 – Vo Tuong Quan Transfer Functions Example 2: Solution 20  2011 – Vo Tuong Quan Transfer Functions Example 2: Solution 21  2011 – Vo Tuong Quan Transfer Functions Example 2: Solution 22  2011 – Vo Tuong Quan Transfer Functions Example Find the equivalent transfer function of the following system23  2011 – Vo Tuong Quan Transfer Functions Example 3: Solution 24  2011 – Vo Tuong Quan Transfer Functions Example 3: Solution 25  2011 – Vo Tuong Quan Transfer Functions Example 3: Solution 26  2011 – Vo Tuong Quan Transfer Functions Example 3: Solution 27  2011 – Vo Tuong Quan Transfer Functions 28  2011 – Vo Tuong Quan Transfer Functions Typical Matlab commands: • • • • Step  Step response Unit impulse  Impulse respone Unit ramp  Ramp respone Lsim  Arbitrary response 29  2011 – Vo Tuong Quan Transfer Functions Example: Ramp response >>num = [0 0 1]; >>den = [1 1 0]; >>step(num,den); 30  2011 – Vo Tuong Quan ... Vo Tuong Quan Transfer Functions Serial transfer functions  2011 – Vo Tuong Quan Transfer Functions Parallel transfer functions  2011 – Vo Tuong Quan Transfer Functions Transfer functions of... Quan Transfer Functions Example Find the equivalent transfer function of the following system23  2011 – Vo Tuong Quan Transfer Functions Example 3: Solution 24  2011 – Vo Tuong Quan Transfer Functions. .. Quan Transfer Functions Example 3: Solution 26  2011 – Vo Tuong Quan Transfer Functions Example 3: Solution 27  2011 – Vo Tuong Quan Transfer Functions 28  2011 – Vo Tuong Quan Transfer Functions