(a) An unstable plant, G(s)= - (i) Proportional Control: i.e. 8 8-6 is connected in series...

 

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(a) An unstable plant, G(s)= - (i) Proportional Control: i.e. 8² 8-6 is connected in series with a controller, K(s), and the loop closed by negative unity feedback. Four potential control strategies are to be assessed, namely: 1 K(s) - k, 0≤k<∞ (ii) Proportional plus Integral Control: i.e. K(s) = 1 (1+0), 0≤ k <∞ (iii) Proportional plus Derivative Control: i.e. K(s) = k(s+6), 0≤k<∞ (iv) Pole/Zero Cancellation: i.e. K(s) = k s+7 0 ≤ k <∞ For each controller: (1) Sketch an appropriate root locus diagram of the system, (ii) State any plotting rules used, (iii) Comment on the system response as the controller gain is in- creased, and (iv) Identify if the controller can ensure a stable closed loop transient response. [20 marks] (a) An unstable plant, G(s)= - (i) Proportional Control: i.e. 8² 8-6 is connected in series with a controller, K(s), and the loop closed by negative unity feedback. Four potential control strategies are to be assessed, namely: 1 K(s) - k, 0≤k<∞ (ii) Proportional plus Integral Control: i.e. K(s) = 1 (1+0), 0≤ k <∞ (iii) Proportional plus Derivative Control: i.e. K(s) = k(s+6), 0≤k<∞ (iv) Pole/Zero Cancellation: i.e. K(s) = k s+7 0 ≤ k <∞ For each controller: (1) Sketch an appropriate root locus diagram of the system, (ii) State any plotting rules used, (iii) Comment on the system response as the controller gain is in- creased, and (iv) Identify if the controller can ensure a stable closed loop transient response. [20 marks] (a) An unstable plant, G(s)= - (i) Proportional Control: i.e. 8² 8-6 is connected in series with a controller, K(s), and the loop closed by negative unity feedback. Four potential control strategies are to be assessed, namely: 1 K(s) - k, 0≤k<∞ (ii) Proportional plus Integral Control: i.e. K(s) = 1 (1+0), 0≤ k <∞ (iii) Proportional plus Derivative Control: i.e. K(s) = k(s+6), 0≤k<∞ (iv) Pole/Zero Cancellation: i.e. K(s) = k s+7 0 ≤ k <∞ For each controller: (1) Sketch an appropriate root locus diagram of the system, (ii) State any plotting rules used, (iii) Comment on the system response as the controller gain is in- creased, and (iv) Identify if the controller can ensure a stable closed loop transient response. [20 marks]

Answer rating: 100% (QA)

To assess the four control strategies lets analyze each controller individually and address the required points i Proportional Control i The root locus diagram for proportional control will be a strai... View the full answer