Identificação e controle de processos via desenvolvimentos em séries ortonormais. Parte B: controle preditivo

This paper presents an overview about predictive control schemes based on orthonormal basis function models. Different predictive control schemes based on such models are discussed, namely, linear controllers with terminal (stabilizing) constraints, robust controllers, and non-linear controllers. The discussions comprise a broad bibliographical survey on the subject as well as two case studies involving a simulated dynamic system and a real process.

[1]  Edoardo Mosca,et al.  Stable redesign of predictive control , 1992, Autom..

[2]  O. Nelles Nonlinear System Identification , 2001 .

[3]  Karen Rudie,et al.  A survey of modeling and control of hybrid systems , 1997 .

[4]  José A. Romagnoli,et al.  Application of Wiener model predictive control (WMPC) to a pH neutralization experiment , 1999, IEEE Trans. Control. Syst. Technol..

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

[6]  Carlos E. García,et al.  Fundamental Process Control , 1988 .

[7]  J. Allwright,et al.  On linear programming and robust modelpredictive control using impulse-responses , 1992 .

[8]  Gérard Favier,et al.  Adaptive Predictive Controller Using Orthonormal Series Functions , 1999 .

[9]  Bart De Schutter,et al.  Equivalence of hybrid dynamical models , 2001, Autom..

[10]  David W. Clarke,et al.  Generalized Predictive Control - Part II Extensions and interpretations , 1987, Autom..

[11]  M. Morari,et al.  Robust Stability of Constrained Model Predictive Control , 1993, 1993 American Control Conference.

[12]  K. Warwick,et al.  Adaptive general predictive controller for nonlinear systems , 1991 .

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

[14]  J. E. Cuthrell,et al.  Solution to the Shell Standard Control Problem , 1990 .

[15]  Lorenz T. Biegler On Solving the Fundamental Control Problem in the Presence of Uncertainty: A Mathematical Programming Approach , 1990 .

[16]  Frank Allgöwer,et al.  Nonlinear Model Predictive Control , 2007 .

[17]  Bo Wahlberg,et al.  On approximation of stable linear dynamical systems using Laguerre and Kautz functions , 1996, Autom..

[18]  João M. Lemos,et al.  Long-range predictive adaptive fuzzy relational control , 1995 .

[19]  Guy A. Dumont,et al.  Laguerre-based adaptive control of pH in an industrial bleach plant extraction stage , 1988, Autom..

[20]  D. Clarke,et al.  A state-space description for GPC controllers , 1993 .

[21]  W. C. Amaral,et al.  CRHPC using Volterra models and orthonormal basis functions: an application to CSTR plants , 2003, Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003..

[22]  Luis Antonio Aguirre,et al.  Control of nonlinear Dynamics: where do Models Fit in? , 2000, Int. J. Bifurc. Chaos.

[23]  J. Richalet,et al.  Model predictive heuristic control: Applications to industrial processes , 1978, Autom..

[24]  V. Wertz,et al.  Adaptive Optimal Control: The Thinking Man's G.P.C. , 1991 .

[25]  Shaoyuan Li,et al.  A synthesis approach of on-line constrained robust model predictive control , 2004, Autom..

[26]  Ricardo J. G. B. Campello,et al.  Hierarchical fuzzy models within the framework of orthonormal basis functions and their application to bioprocess control , 2003 .

[27]  Sirish L. Shah,et al.  From data to diagnosis and control using generalized orthonormal basis filters. Part I: Development of state observers , 2005 .

[28]  Alberto Bemporad,et al.  The explicit linear quadratic regulator for constrained systems , 2003, Autom..

[29]  B. Wahlberg,et al.  Constrained predictive control using orthogonal expansions , 1993 .

[30]  Guy A. Dumont,et al.  Adaptive predictive control of systems with time‐varying time delay , 1993 .

[31]  David Clarke,et al.  Generalised predictive control with input constraints , 1988 .

[32]  R. De Keyser,et al.  Extended Prediction Self-Adaptive Control , 1985 .

[33]  Guy Albert Dumont,et al.  Adaptive GPC based on laguerre-filters modelling , 1994, Autom..

[34]  Ricardo J. G. B. Campello,et al.  Control of a bioprocess using orthonormal basis function fuzzy models , 2004, 2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542).

[35]  Sa Chesna,et al.  Extended Horizon Adaptive Control , 1984 .

[36]  David Clarke,et al.  Advances in model-based predictive control , 1994 .

[37]  David Clarke,et al.  Generalised predictive control with end-point state weighting , 1993 .

[38]  Sirish L. Shah,et al.  From data to diagnosis and control using generalized orthonormal basis filters. Part II: Model predictive and fault tolerant control , 2006 .

[39]  D. Himmelblau,et al.  Optimization of Chemical Processes , 1987 .

[40]  P. V. D. Hof,et al.  System identification with generalized orthonormal basis functions , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[41]  Riccardo Scattolini,et al.  Predictive Control with Terminal Constraints , 1993 .

[42]  D. Grant Fisher,et al.  A state space formulation for model predictive control , 1989 .

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

[44]  Argimiro Resende Secchi,et al.  Exploring the Potentiality of Using Multiple Model Approach in Nonlinear Model Predictive Control , 2000 .

[45]  Mardson Freitas de Amorim,et al.  A REAL-TIME PREDICTIVE SCHEME FOR CONTROLLING HYGROTHERMAL CONDITIONS OF NEONATE INCUBATORS , 2006 .

[46]  Guy A. Dumont,et al.  Non-linear adaptive control via Laguerre expansion of Volterra kernels , 1993 .

[47]  Manfred Morari,et al.  Model predictive control: Theory and practice - A survey , 1989, Autom..

[48]  Francis J. Doyle,et al.  Identification and Control Using Volterra Models , 2001 .

[49]  Alberto Bemporad,et al.  Control of systems integrating logic, dynamics, and constraints , 1999, Autom..

[50]  G. Dumont,et al.  Deterministic adaptive control based on Laguerre series representation , 1988 .

[51]  Sang Jeong Lee,et al.  Generalized predictive control with input constraints , 1997, 1997 European Control Conference (ECC).

[52]  Thomas J. McAvoy,et al.  Neural net based model predictive control , 1991 .

[53]  Manfred Morari,et al.  Robust Model Predictive Control , 1987, 1987 American Control Conference.

[54]  C. R. Cutler,et al.  Dynamic matrix control¿A computer control algorithm , 1979 .

[55]  Wagner Caradori do Amaral,et al.  Modelagem e controle preditivo utilizando multimodelos , 2007 .

[56]  Robin De Keyser,et al.  A comparative study of self-adaptive long-range predictive control methods , 1985, Autom..

[57]  Wagner Caradori do Amaral,et al.  Constrained robust predictive controller for uncertain processes modeled by orthonormal series functions , 2000, Autom..

[58]  Ronald Soeterboek,et al.  Predictive Control: A Unified Approach , 1992 .

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

[60]  Bengt Lennartson,et al.  Hybrid systems in process control , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[61]  Manfred Morari,et al.  ∞-norm formulation of model predictive control problems , 1986, 1986 American Control Conference.

[62]  David Clarke,et al.  Properties of Generalized Predictive Control , 1987 .

[63]  Manfred Morari,et al.  State-space interpretation of model predictive control , 1994, Autom..

[64]  Ruth Bars,et al.  Long-Range Predictive Control of the Parametric Hammerstein Model , 1998 .

[65]  E. Camacho Constrained generalized predictive control , 1993, IEEE Trans. Autom. Control..

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

[67]  Riccardo Scattolini,et al.  Constrained receding-horizon predictive control , 1991 .

[68]  B. Wahlberg,et al.  Modelling and Identification with Rational Orthogonal Basis Functions , 2000 .

[69]  Ronald K. Pearson,et al.  Nonlinear model-based control using second-order Volterra models , 1995, Autom..