CHEN 4601 Lecture 47: 2015_11_20 Lecture
21 Nov 2015
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So far, we assumed one manipulated input - one controlled output --> very often this is not the case. Manipulated inputs: q, q0, cai: cstr in general, Chen4601_processcontrol page 2 this is the rule rather than the exception could have more inputs than outputs, though. A, b, c = matrix x, y, u = vectors. Assume zero initial condition then take laplace transform. A: it is determined by the eigenvalues of a = poles in all individual transfer functions. Same about damping --> depends on poles of transfer functions. How to control this? ysp1 --> u1 --> y1, y2 --> u2 --> y1, y2 --> interction is present in closed loop stability and performance are more difficult to analyze. -> closed loop transfer matrix two terms multiplied on left are the characteristic polynomials if only one loop is closed last term = extra term. Tuning the individual controllers for stability/performance does not guarantee overall behavior when both loops are closed.
