Constrained tracking control for nonlinear systems.

This paper proposes a tracking control strategy for nonlinear systems without needing a prior knowledge of the reference trajectory. The proposed method consists of a set of local controllers with appropriate overlaps in their stability regions and an on-line switching strategy which implements these controllers and uses some augmented intermediate controllers to ensure steering the system states to the desired set points without needing to redesign the controller for each value of set point changes. The proposed approach provides smooth transient responses despite switching among the local controllers. It should be mentioned that the stability regions of the proposed controllers could be estimated off-line for a range of set-point changes. The efficiencies of the proposed algorithm are illustrated via two example simulations.

[1]  Akbar Rahideh,et al.  Constrained output feedback model predictive control for nonlinear systems , 2012 .

[2]  Dewei Li,et al.  Constrained robust feedback model predictive control for uncertain systems with polytopic description , 2009, Int. J. Control.

[3]  Gabriele Pannocchia,et al.  Robust model predictive control with guaranteed setpoint tracking , 2004 .

[4]  Jianliang Wang,et al.  Multi-objective Robust Model Predictive Control: Trajectory Tracking Problem Through LMI Formulation , 2007, 2007 American Control Conference.

[5]  Manfred Morari,et al.  An improved approach for constrained robust model predictive control , 2002, Autom..

[6]  M Haeri,et al.  Design of a robust model predictive controller with reduced computational complexity. , 2014, ISA transactions.

[7]  Ali Akbar Safavi,et al.  Robust model predictive control of a class of uncertain nonlinear systems with application to typical CSTR problems , 2013 .

[8]  José Luis Figueroa,et al.  Robust model predictive control of Wiener systems , 2011, Int. J. Control.

[9]  Eduardo F. Camacho,et al.  Robust tube-based MPC for tracking of constrained linear systems with additive disturbances , 2010 .

[10]  M. Kothare,et al.  Efficient scheduled stabilizing model predictive control for constrained nonlinear systems , 2003 .

[11]  Arkadi Nemirovski,et al.  Lmi Control Toolbox For Use With Matlab , 2014 .

[12]  Jay H. Lee,et al.  Model predictive control: Review of the three decades of development , 2011 .

[13]  Jung-Su Kim,et al.  Robust tracking model predictive control for input-constrained uncertain linear time invariant systems , 2014, Int. J. Control.

[14]  Doug Cooper,et al.  A Practical Multiple Model Adaptive Strategy for Multivariable Model Predictive Control , 2003 .

[15]  M. Haeri,et al.  Model predictive control of non-linear discrete time systems: a linear matrix inequality approach , 2010 .

[16]  Li Zhang,et al.  Synthesizing scheduled robust model predictive control with target tracking , 2012, Int. J. Autom. Comput..

[17]  Mohammad Haeri,et al.  Smooth switching in a scheduled robust model predictive controller , 2015 .

[18]  Wei-Jie Mao,et al.  Robust stabilization of uncertain time-varying discrete systems and comments on "an improved approach for constrained robust model predictive control" , 2003, Autom..

[19]  Wei Xing Zheng,et al.  Offset-Free Nonlinear MPC for Mismatched Disturbance Attenuation With Application to a Static Var Compensator , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.

[20]  José Luis Figueroa,et al.  Robust model predictive control of a Wiener-like system , 2013, J. Frankl. Inst..

[21]  Mayuresh V. Kothare,et al.  An e!cient o"-line formulation of robust model predictive control using linear matrix inequalities (cid:1) , 2003 .

[22]  Manfred Morari,et al.  Robust constrained model predictive control using linear matrix inequalities , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[23]  Wei Xing Zheng,et al.  Design of a Prediction-Accuracy-Enhanced Continuous-Time MPC for Disturbed Systems via a Disturbance Observer , 2015, IEEE Transactions on Industrial Electronics.

[24]  Hongye Su,et al.  An improved model predictive control for uncertain systems with input saturation , 2013, J. Frankl. Inst..

[25]  Roberto Kawakami Harrop Galvão,et al.  Robust linear matrix inequality-based model predictive control with recursive estimation of the uncertainty polytope , 2013 .

[26]  S. Joe Qin,et al.  A survey of industrial model predictive control technology , 2003 .

[27]  Francisco Rodríguez,et al.  Robust tube-based predictive control for mobile robots in off-road conditions , 2011, Robotics Auton. Syst..

[28]  Marcello Farina,et al.  A Robust MPC Algorithm for Offset-Free Tracking of Constant Reference Signals , 2012, IEEE Transactions on Automatic Control.