Robust Sliding Mode Control of a Vapor Compression Cycle

This paper deals with the development of a mathematical dynamic model and observer-based set point control of a vapor compression cycle (VCC) system. The mean void fraction and moving boundary control volumes in a heat exchanger (HEX) are used for a lumped parameter model of an air conditioning system. A multi-input multi-output (MIMO) dynamic model of the VCC is presented in a nonlinear state space representation and is reformulated into a linearized regular form for control design. A modified observer-based controller with sliding mode control (SMC) is introduced to attenuate the effects of observing approximation errors and external disturbances. In the design of the discontinuous controller, a new type of gain function is introduced to reduce the time to reach the sliding mode compared to a conventional discontinuous gain. The proposed control methodology ensures uniformly ultimately bounded tracking results of the desired low pressure and suction superheat. A simulation of controlling the VCC illustrates the effectiveness and performance in the presence of disturbances.

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