Output feedback predictive control for uncertain non-linear switched systems

In this paper, a hybrid predictive controller is proposed for a class of uncertain non-linear switched system with input constraints and unavailable state measurements. The main idea is to design a bounded non-linear controller and a predictive controller for each subsystem using Lyapunov functions and state observers, also a suitable switched law to stabilise the closed-loop subsystem, and to provide an explicitly characterised set of initial condition. For the whole switched system, based on the state estimates, a suitable switched law is designed to ensure the whole closed-loop’s stability. The simulation results for a chemical process show the validity of the controller proposed in this paper.

[1]  ShaoYuan Li,et al.  The design of predictive control with characterized set of initial condition for constrained switched nonlinear system , 2009 .

[2]  Li Shao,et al.  Constrained Predictive Control for Nonlinear Switched Systems with Uncertainty , 2008 .

[3]  A. Michel,et al.  Robust stabilizing control laws for a class of second-order switched systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[4]  Panagiotis D. Christofides,et al.  Output feedback control of switched nonlinear systems using multiple Lyapunov functions , 2001, Proceedings of the 2005, American Control Conference, 2005..

[5]  João Pedro Hespanha,et al.  Switching between stabilizing controllers , 2002, Autom..

[6]  Panagiotis D. Christofides,et al.  Predictive control of switched nonlinear systems with scheduled mode transitions , 2005, IEEE Transactions on Automatic Control.

[7]  Zheng Li,et al.  Predictive controller design for multivariable process system based on support vector machine model , 2011, Int. J. Model. Identif. Control..

[8]  N. El‐Farra,et al.  Bounded robust control of constrained multivariable nonlinear processes , 2003 .

[9]  Panagiotis D. Christofides,et al.  Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control , 2005, Proceedings of the 2005, American Control Conference, 2005..

[10]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[11]  Chen Gang,et al.  Distributed model predictive control for multi-agent systems with coupling constraints , 2010, Int. J. Model. Identif. Control..

[12]  Panagiotis D. Christofides,et al.  Robust hybrid predictive control of nonlinear systems , 2005, Autom..

[13]  Dewei Li,et al.  The synthesis of robust model predictive control with QP formulation , 2011, Int. J. Model. Identif. Control..

[14]  K. Narendra,et al.  A common Lyapunov function for stable LTI systems with commuting A-matrices , 1994, IEEE Trans. Autom. Control..

[15]  Manfred Morari,et al.  Contractive model predictive control for constrained nonlinear systems , 2000, IEEE Trans. Autom. Control..

[16]  Yan Zhang.  DISOPE-based networked MPC and performance analysis for plant-wide processes , 2011, Int. J. Model. Identif. Control..

[17]  Bao-Cang Ding.  Synthesizing Output Feedback Predictive Control for Constrained Uncertain Time-Varying Discrete Systems , 2007 .

[18]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..