Multivariable RBF-ARX model-based robust MPC approach and application to thermal power plant

作者：Peng, Hui^*; Kitagawa, Genshiro; Wu, Jun; Ohtsu, Kohei

来源：Applied Mathematical Modelling, 2011, 35(7): 3541-3551.

DOI：10.1016/j.apm.2011.01.002

• Nonlinear system
• Modeling
• Predictive control
• Robustness
• Stability
• Thermal power plant

For a class of smooth nonlinear multivariable systems whose working-points vary with time and the future working-points knowledge are unknown, a combination of a local linearization and a polytopic uncertain linear parameter-varying (LPV) state-space model is built to approximate the present and the future system's nonlinear behavior, respectively. The combination models are constructed on the basis of a matrix polynomial multi-input multi-output (MIMO) RBF-ARX model identified offline for representing the underlying nonlinear system. A min-max robust MPC strategy is designed to achieve the systems' output-tracking control based on the approximate models proposed. The closed loop stability of the MPC algorithm is guaranteed by the use of time-varying parameter-dependent Lyapunov function and the feasibility of the linear matrix inequalities (LMIs). The effectiveness of the modeling and control methods proposed in this paper is illustrated by a case study of a thermal power plant simulator.

• 出版日期2011-7
• 单位中南大学