Receding Horizon H∞ Guaranteed Cost Control for Uncertain Distributed Parameter Systems with Actuator Saturation

Distributed parameter systems(DPSs) widely exist in a variety of physical, chemical and biological systems. Due to the infinite dimensional characteristics of DPS, it is difficult for us to obtain the analytical solution and controller design. In this paper, the receding horizon H ∞ guaranteed cost controller is proposed for a class of DPSs. A finite-dimensional ODE is first derived by improving the spectral Galerkin method. Subsequently, a sufficient condition is proposed to access a tradeoff between the robust performance indexes and actuator saturation. Then, in the framework of linear matrix inequations (LMIs), the receding horizon H ∞ guaranteed cost controller can be obtained by on-line solving the optimization problem. Finally, the effectiveness of the proposed controller is demonstrated by conducting a simulation on the process of microwave heating Debye medium.