B1. The Figure B1.1 shows a control block diagram of an automotive air-conditioning system comprising of the controller,

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B1 The Figure B1 1 Shows A Control Block Diagram Of An Automotive Air Conditioning System Comprising Of The Controller 1 (96.5 KiB) Viewed 55 times

B1. The Figure B1.1 shows a control block diagram of an automotive air-conditioning system comprising of the controller, the cooler unit, the compressor and the feedback sensory system. In this figure, signals appear as lines and functional relations as blocks. The primary controlled plant is the cabin. The cooler unit and the compressor unit are defined as the secondary controlled plants (to produce appropriate actuating signals). Actual Cabin Temperature e(t) + K Desired Cabin temperature r(t) (s+2) (5+3) c(t) Controller Cooler Unit Compressor Unit Feedback Sensor Figure B1.1. a) Identify the objective, controlled variable, control variable and disturbances of the controlled system. [4 marks) b) Determine the total closed-loop System Transfer Function for the air-conditioning system, a. If feedback transfer function is unity feedback. [4 marks] b. If feedback transfer function is (1/8). [4 marks] c) State the name of the sensor/transducer may use for output temperature measurement. [2 marks] d) Determine the steady state error (ess) for the given system. [3 marks] e) The Controller of the air-conditioning system shown Figure B1.1 is replaced by a propotional and integral controller (PD controller). The e(t) denotes the error function. a. Develop the mathematical expression for the PD controller in both time and frequency domains. Take Kp and Kp as the proportional and derivative gain values. [4 marks) b. Deduce the total system's closed loop transfer function w.r.t PD controller when the system is applied with a unity-feedback. [4 marks)