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Generally, heat conduction plants composed of multiple materials can be expressed by the difference formula model with multiple delay times. Such model is not suitable for control design, since it’s quite difficult to apply standard linear control design approach. So, we propose new method of deriving a linear state equation model which is suitable to apply the standard control method from the difference formula model. We focus on the relationship between control cycle and sampling interval, and our main idea is the linear interpolation from current step to delay time steps. The derived model has accuracy against original one, and effectiveness of the proposed method is illustrated by numerical examples.

A Derivation Method for System Design Model of a Heat Conduction Plant