A class of mixed logical system and using in energy-saving control of central air conditioning

This paper proposes a class of hybrid system that is based on the mixed logical dynamical (MLD) system, which contains a new framework and switching law. The framework involves a logical variable, continuous variable, and auxiliary variable, some mixed integer/logical inequalities are inferred here. By discussing non-zero switching point, some new contain relations between logical expresses and inequalities are obtained. Hence, a universal state-dependent switching law is constructed, which is the control strategy of the system. Combining the switching law, framework and constraints, universal MLD inequalities can be set. The inequalities are suitable for basic modelling and controlling of many fields of hybrid dynamic processes. Subsequently, this class of MLD system is used in energy-saving control of central air conditioning by utilizing pumps of water system, which satisfies the demands of controlling and energy-saving. As an example, the switching situation and the energy-saving effect of the system are simulated.