Adaptive Control of Nonlinear Processes Using Two Methods of Parameter Estimation

The paper deals with continous-time adaptive control of nonlinear processes. A nonlinear model of the process is approximated by a continuous-time external linear model. The parameters of the CT external linear model of the process are estimated in two ways. In the first case, direct estimation of the CT model is used. In the second case, the parameters of a corresponding delta model are recursively estimated. The control system structure with two feedback controllers is considered. The controller design is based on the polynomial approach. The resulting controllers ensure stability of the control system as well as asymptotic tracking of the step reference and step load disturbance attenuation. The adaptive control is tested on the nonlinear system represented by a model of two spheric liquid tanks in series.

[1]  Petr Dostál,et al.  Adaptive nonlinear control of a continuous stirred tank reactor , 2010, ALCOSP.

[2]  Liuping Wang,et al.  Identification of Continuous-time Models from Sampled Data , 2008 .

[3]  Bo Wahlberg.  The effects of rapid sampling in system identification , 1990, Autom..

[4]  Miroslav Fikar,et al.  Model predictive control of a CSTR: A hybrid modeling approach , 2010 .

[5]  Riccardo Scattolini,et al.  A stabilizing model-based predictive control algorithm for nonlinear systems , 2001, Autom..

[6]  Alessandro Astolfi,et al.  Nonlinear and adaptive control with applications , 2008 .

[7]  Graham C. Goodwin,et al.  Digital control and estimation : a unified approach , 1990 .

[8]  Amit Patra,et al.  New class of discrete-time models for continuous-time systems , 1992 .

[9]  S. Prabhakar Karthikeyan,et al.  Open research issues on Deregulated Electricity Market: Investigation and Solution Methodologies , 2014 .

[10]  Petr Dostál,et al.  Adaptive control of a continuous stirred tank reactor by two feedback controllers , 2007, ALCOSP.

[11]  H. Unbehauen,et al.  Identification of continuous-time systems , 1991 .

[12]  CLAUDIO GUARNACCIA.  An Introduction to the Special Issue on Recent Methods on Physical Polluting Agents and Environment Modeling and Simulation , 2012 .

[13]  Petros A. Ioannou,et al.  Adaptive control tutorial , 2006, Advances in design and control.

[14]  F. Neri,et al.  An Introduction to the Special Issue on Time Delay Systems : Modelling , Identification , Stability , Control and Applications , 2012 .

[15]  R. Stephenson.  A and V , 1962, The British journal of ophthalmology.

[16]  Robin Smith,et al.  Chemical Process: Design and Integration , 2005 .

[17]  Vladimir Bobal,et al.  One Approach to Adaptive Control of Nonlinear Processes , 2001 .

[18]  Calin Ciufudean,et al.  Open research issues on Multi-models for Complex Technological Systems , 2014 .

[19]  Filippo Neri.  Open research issues on Advanced Control Methods: Theory and Application , 2014 .

[20]  Filippo Neri,et al.  An Introduction to the special issue on computational techniques for trading systems, time series forecasting, stock market modeling, financial assets modeling , 2013 .

[21]  Filippo Neri,et al.  Open research issues on Modeling, Simulation and Optimization in Electrical Systems , 2014 .

[22]  F. Neri,et al.  An Introduction to the Special Issue : Recent Advances in Defense Systems : Applications , Methodology , Technology , 2012 .

[23]  Peter C. Young,et al.  Direct Identification of Continuous-time Models from Sampled Data: Issues, Basic Solutions and Relevance , 2008 .

[24]  Petr Dostál,et al.  Robust stabilization of a chemical reactor , 2009 .

[25]  Vladimir Kucera,et al.  Polynomial Methods for Control Systems Design , 1996 .

[26]  Russian Federation,et al.  Open research issues on Nonlinear Dynamics, Dynamical Systems and Processes , 2014 .

[27]  Libor Peka,et al.  An Introduction to the Special Issue on Advanced Control Methods : Theory and Application , 2013 .

[28]  Filippo Neri,et al.  Open research issues on Computational Techniques for Financial Applications , 2014 .

[29]  Vladimír Kučera,et al.  Diophantine equations in control - A survey , 1993, Autom..

[30]  FILIPPO NERI,et al.  Foreword to the Special Issue on Collaborative Systems , 2012 .