Question 3 (20 marks) 3.1 In a counter current kiln the steady state gain matrix is determined to be G below, where the solid flow, input 1, was stepped from 80 to 85 and the gas flow, input 2 was stepped from 100 to 110. Output 1 is the solids temperature and output 2 is the gas temperature. 3.1.1) 3.1.2) 3.2 G = =[ -11.04 3.49 Calculate the Relative gain array Determine the new steady state values for the temperatures of the solids and the gas, if the initial temperatures were 1000C and 500C respectively 3.1.3) State the recommended variable pairings -6.981 5.52 (7 marks) (7 marks) (1 marks) Model predictive control (MPC) can be used for MIMO control without pairing individual SISO loops, discuss why MPC can do this while PID can't. (5 marks)

In a counter current kiln the steady state gain matrix is determined to be G below, where the solid flow, input 1 , was stepped from 80 to 85 and the gas flow, input 2 was stepped from 100 to 110. Output 1 is the solids temperature and output 2 is the gas temperature. G=[11.043.496.985.52] 3.1.1) Determine the new steady state values for the temperatures of the solids and the gas, if the initial temperatures were 1000C and 500C respectively (7 marks) 3.1.2) Calculate the Relative galn array ( 7 marks) 3.1.3) State the recommended variable pairings (1 marks) 3.2 Model predictive control (MPC) can be used for MIMO control without pairing individual SISO loops; discuss why MPC can do this while PID can't