Recent advances in adaptive MPC

It is well known that an origin of MPC is the controller in adaptive control scheme. In other words, MPC is popularly employed as the control law in adaptive control. In primitive adaptive MPC, constraints are not taken into account. However, after this adaptive MPC, tremendous progress has been made in MPC theory independently in a way that various constraints on the state and input variables are considered and closed loop stability is guaranteed. Ironically, it turns out that such a well developed MPC suffers from being employed as the control law in adaptive control scheme because it is difficult to guarantee closed loop stability when the MPC is combined with adaptation algorithm and feasibility at all times owing to estimated parameters. This paper presents several important issues in the problem of adaptive MPC and introduces recent results and future work.

[1]  Edoardo Mosca,et al.  Robust adaptive predictive control with self-excitation , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[2]  Michael Nikolaou,et al.  Simultaneous Constrained Model Predictive Control and Identification of DARX Processes , 1998, Autom..

[3]  A. S. MorseCenter.  Certainty Equivalence Implies Detectability , 1998 .

[4]  D. Angeli.  Intrinsic robustness of global asymptotic stability , 1999 .

[5]  Eduardo Sontag,et al.  Input-to-state stability for discrete-time nonlinear systems , 1999, at - Automatisierungstechnik.

[6]  João Pedro Hespanha,et al.  Supervision of integral-input-to-state stabilizing controllers , 2002, Autom..

[7]  L. Chisci,et al.  Dual mode predictive tracking of piecewise constant references for constrained linear systems , 2003 .

[8]  Robert R. Bitmead,et al.  Robust constrained predictive control using comparison model , 2005, Autom..

[9]  Claudio De Persis,et al.  Input-to-state stable finite horizon MPC for neutrally stable linear discrete-time systems with input constraints , 2006, Syst. Control. Lett..

[10]  Eduardo F. Camacho,et al.  MPC for tracking piecewise constant references for constrained linear systems , 2008, Autom..

[11]  Hyungbo Shim,et al.  Switching adaptive output feedback model predictive control for a class of input-constrained linear plants , 2008 .

[12]  Toshiharu Sugie,et al.  Adaptive receding horizon predictive control for constrained discrete-time linear systems with parameter uncertainties , 2008, Int. J. Control.

[13]  Martin Guay,et al.  Adaptive Model Predictive Control for Constrained Nonlinear Systems , 2008 .

[14]  F. Hiroki,et al.  Closed loop modelling method for non-linear system using Laguerre polynomials , 2010, ICCAS 2010.

[15]  Karim Salahshoor,et al.  Design and implementation of an adaptive predictive controller for a nonlinear dynamic industrial plant using Hysys and Matlab simulation packages , 2010, ICCAS 2010.