Model predictive control synthesis algorithm based on polytopic terminal region for Hammerstein-Wiener nonlinear systems

• Published in: Journal of Central South University Vol. 24; no. 9; pp. 2028 - 2034
• Main Authors: Li, Yan, Chen, Xue-yuan, Mao, Zhi-zhong
• Format: Journal Article
• Language: English
• Published: Changsha Central South University 01.09.2017; Springer Nature B.V
• Subjects: Algorithms; Computer simulation; Control theory; Design optimization; Engineering; Invariants; Linear control; Mathematical models; Metallic Materials; Nonlinear control; Nonlinear systems; Predictive control; Synthesis; Wind tunnels; model predictive control; Hammerstein-Wiener nonlinear systems; parametercorrelation nonlinear control; polytopic terminal constraint set; linear matrix inequalities (LMIs); stability
• ISSN: 2095-2899; 2227-5223
• DOI: 10.1007/s11771-017-3612-8

An improved model predictive control algorithm is proposed for Hammerstein-Wiener nonlinear systems. The proposed synthesis algorithm contains two parts: offline design the polytopic invariant sets, and online solve the min-max optimization problem. The polytopic invariant set is adopted to replace the traditional ellipsoid invariant set. And the parameter-correlation nonlinear control law is designed to replace the traditional linear control law. Consequently, the terminal region is enlarged and the control effect is improved. Simulation and experiment are used to verify the validity of the wind tunnel flow field control algorithm.