论文信息 - Model-free subspace approach to NLQG controller design using bilinear model

Model-free subspace approach to NLQG controller design using bilinear model

In this paper, Linear Quadratic Gaussian (LQG) controller extended to a class of nonlinear systems based on subspace matrices using bilinear model. LQG controller design based on subspace matrices provides directly from system input output data. Therefore it is more useful for systems that their models are not available. Since the most practical systems are nonlinear, LQG controller design based on linear subspace model is reflected to a weak control performance or even instability. To overcome this problem, LQG controller design based on bilinear subspace model is presented. Simulation results and comparison studies are provided to show the effectiveness of proposed method.

[1] K. Åström. Introduction to Stochastic Control Theory , 1970 .

[2] B. De Moor,et al. Model-free subspace-based LQG-design , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[3] Biao Huang,et al. Estimation of the Dynamic Matrix and Noise Model for Model Predictive Control Using Closed-Loop Data , 2002 .

[4] C. R. Rao,et al. SOLUTIONS TO SOME FUNCTIONAL EQUATIONS AND THEIR APPLICATIONS TO CHARACTERIZATION OF PROBABILITY DISTRIBUTIONS , 2016 .

[5] Ruth Bars,et al. An Iterative GPC-like nonlinear predictive control algorithm for the parametric Volterra model , 2009, 2009 European Control Conference (ECC).

[6] B. De Moory,et al. Closed Loop Model-free Subspace-based Lqg-design , 1998 .

[7] Carlos Bordons,et al. Nonlinear MPC for the airflow in a PEM fuel cell using a Volterra series model , 2012 .

[8] Ronald K. Pearson,et al. Nonlinear model predictive control of a simulated multivariable polymerization reactor using second-order Volterra models , 1996, Autom..

[9] Biao Huang,et al. A data driven subspace approach to predictive controller design , 2001 .

[10] Marko Bacic,et al. Model predictive control , 2003 .

[11] Svante Gunnarsson,et al. Iterative feedback tuning: theory and applications , 1998 .

[12] Bart De Moor,et al. Subspace identification of bilinear systems subject to white inputs , 1999, IEEE Trans. Autom. Control..