Modeling and control for thermal balancing of multi-core processors

This paper presents an effective thermal balancing policy for multi-core processors thermal management systems. The paper contains two parts. First, a group of one dimensional (1D) partial differential equations (PDEs), which are derived from the normal three dimensional (3D) PDE heat conduction equation, are proposed to describe the thermal behavior of the multi-core processers. Then, an optimal output feedback regulator is designed to manage the power consumption and balance the temperature among the cores. Finally, the performance of the proposed controller is verified via an illustrative example.