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Li Y.,Northeastern University China | Mao Z.-Z.,Northeastern University China | Wang Y.,Liaoyang Municipal Development and Reform Commission | Yuan P.,Northeastern University China
Dongbei Daxue Xuebao/Journal of Northeastern University | Year: 2011

For Hammerstein-Wiener nonlinear systems with input and output constraints, a nonlinear predictive control algorithm based on T-S fuzzy model was proposed. A Lyapunov function is used to analyze system stability. By establishing the T-S fuzzy model, the nonlinear optimization problem in predictive control design is transformed into a corresponding linear optimization problem. By designing offline the state feedback control law and online implementation of the appropriate feedback control law, online computational efficiency is greatly improved. Simulation trials indicate the effectiveness of the proposed algorithm. Source


Li Y.,Northeastern University China | Mao Z.-Z.,Northeastern University China | Wang Y.,Liaoyang Municipal Development and Reform Commission | Yuan P.,Northeastern University China | Jia M.-X.,Northeastern University China
Journal of Iron and Steel Research International | Year: 2011

In electric arc furnace smelting, electrode regulator system is a key link. A good electrode control algorithm will reduce energy consumption effectively and shorten smelting time greatly. The offline design online synthesis model predictive control algorithm is proposed for electrode regulator system with input and output constraints. On the offline computation, the continuum of terminal constraint sets will be constructed. On the online synthesis, the time-varying terminal constraint sets will be adopted and at least one free control variable will be introduced to solve the min-max optimization control problem. Then Lyapunov method will be adopted to analyze closed-loop system stability. Simulation and field trial results show that the proposed offline design online synthesis model predictive control method is effective. © 2011 Central Iron and Steel Research Institute. Source


Li Y.,Northeastern University China | Mao Z.-Z.,Northeastern University China | Wang F.-L.,Northeastern University China | Wang Y.,Liaoyang Municipal Development and Reform Commission
Kongzhi yu Juece/Control and Decision | Year: 2010

Dead zone exists in electrode regulating system of electric arc furnace, which can bring the steady-state error to control system and even cause the instability of system. Therefore, for the dead zone nonlinearity with asymmetric breakpoint and unequal slope, an adaptive dead zone compensation method is proposed. By introducing the dead zone inverse nonlinearity and updating the unknown dead zone inverse parameters on-line, dead zone is compensated completely. The convergence of parameter estimation error is proved by using Lyapunov method. The simulation results show the effectiveness of the proposed algorithm. Source


Li Y.,Northeastern University China | Mao Z.-Z.,Northeastern University China | Wang Y.,Liaoyang Municipal Development and Reform Commission | Yuan P.,Northeastern University China | Jia M.-X.,Northeastern University China
Zidonghua Xuebao/ Acta Automatica Sinica | Year: 2010

Many actual systems can be represented by the Hammerstein-Wiener model, where a linear dynamic system is surrounded by two static nonlinearities at its input and output. An improved on-line two stage identification algorithm is pro-posed to identify the Hammerstein-Wiener model with process noise. Firstly, the bias compensation recursive least squares is adopted to identify the parameter vector containing the product of the original system parameters. The estimation bias is compensated by introducing a correction term in the recursive least squares estimate. Secondly, the singular value decomposition method based on the tensor product approach is adopted to separate each parameter value from the original system. The accuracy of parameter separation is improved by introducing the tensor product of two matrixes to approach the weight coefficient of the weighted least squares. Theoretical analysis and computer simulation validate the effectiveness of the proposed algorithm. © 2010 Acta Automatica Sinica. All rights reserved. Source


Li Y.,Northeastern University China | Mao Z.-Z.,Northeastern University China | Wang Y.,Liaoyang Municipal Development and Reform Commission | Yuan P.,Northeastern University China | Jia M.-X.,Northeastern University China
Zidonghua Xuebao/Acta Automatica Sinica | Year: 2011

Many actual systems are often represented as the Hammerstein-Wiener nonlinear models, where a linear dynamic subsystem is surrounded by two static nonlinear subsystems at its input and output. For Hammerstein-Wiener nonlinear systems with the input and output constraints, a predictive control synthesis algorithm based on polytopic terminal region is proposed. At the offline stage, by constructing a series of the polytopic invariant sets, the terminal region is enlarged; in the polytopic invariant set, the nonlinear controller is designed, then the conservation of conventional linear control law design is reduced. At the online stage, by solving a finite number of linear matrix inequality optimization problems, not only the real-time demand can be satisfied, but also the control performance can be improved. Simulation results show the advantages of adopting polyhedron invariant set. Copyright © 2011 Acta Automatica Sinica. Source

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