EGR2006M: Control Systems Assignment

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Control Systems (EGR2006M)

Added on 2020-04-21

EGR2006M: Control Systems Assignment

Control Systems (EGR2006M)

Added on 2020-04-21

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DYNAMIC SYSTEM MODELLING ASSIGNMENTBUFFERING SYSTEM DYNAMICSINTRODUCTIONThe system has a single element, the purpose of which is to supply a sink with a commodity from a source. This could be a liquid tank modelling system, a monetary income and outgoings problem, an energy supply and demand problem. The output is the same as the input without delay, regardless of demand or supply. The flow must on average remain the same. The flow on average is an approximation if the supply is too fast for too long, then the reservoir will overflowor if the demand is too great for too long, then the reservoir will underflow. A top-level model of the system is represented as,The two main elements of the system are the charger which determines a known failure rate and subsequent downtime and the reservoir. The charger can be operational or not, the reservoir can be empty or not. There are two resulting variables from this, U and V, to represent charger operational and reservoir empty respectively. The most important feature of a system is its reliability which is the mean time of operation before failure occurs. The health of the system is denoted by the state variables H to show if it is healthy. When healthy, the buffer system can ultimately supply the user Demand mass flow rate of liquid.

PROBLEM STATEMENTThe problem of determining the health of the system is reduced to three sub problems of determining the U, V, W at any instant in time. Implementation of the pseudocode algorithm determines the health, H. using a truth table, it can be broken down as,The modelling is performed using the MATLAB Simulink to model, simulate and analyze the buffer system. To model the dynamics of the reservoir, it is prudent to describe the system mathematically, BUFFER SYSTEM MODELLING(i)Model Reservoir DynamicsSimulink block model

The outputA relay was added to the block model and the simulation was performed,

The output was obtained as follows,

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