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Erschienen in: Neural Processing Letters 2/2020

07.01.2020

A Novel Model Predictive Runge–Kutta Neural Network Controller for Nonlinear MIMO Systems

verfasst von: Kemal Uçak

Erschienen in: Neural Processing Letters | Ausgabe 2/2020

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Abstract

In this paper, a novel model predictive Runge–Kutta neural network (RK-NN) controller based on Runge–Kutta model is proposed for nonlinear MIMO systems. The proposed adaptive controller structure incorporates system model which provides to approximate the K-step ahead future behaviour of the controlled system, nonlinear controller where Runge–Kutta neural network (RK-NN) controller is directly deployed and adjustment mechanism based on Levenberg–Marquardt optimization method so as to optimize the weights of the Runge–Kutta neural network (RK-NN) controller. RBF neural network is employed as constituent network in order to identify the changing rates of the controller dynamics. So, the learning ability of RBF neural network and Runge Kutta integration method are combined in the MIMO nonlinear controller block. The control performance of the proposed MIMO RK-NN controller has been examined via simulations performed on a nonlinear three tank system and Van de Vusse benchmark system for different cases, and the obtained results indicate that the RK-NN controller and Runge–Kutta model achieve good control and modeling performances for nonlinear MIMO dynamical systems.

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Literatur
1.
Zurück zum Zitat Lakshmanan M, Rajasekar S (2003) Nonlinear dynamics: integrability, chaos and patterns. Advanced Texts in physics. Springer, BerlinCrossRef Lakshmanan M, Rajasekar S (2003) Nonlinear dynamics: integrability, chaos and patterns. Advanced Texts in physics. Springer, BerlinCrossRef
3.
Zurück zum Zitat Tan YH, Dekeyser R (1994) Adaptive PID control with neural network based predictor. In: International conference on control 94. England Tan YH, Dekeyser R (1994) Adaptive PID control with neural network based predictor. In: International conference on control 94. England
4.
Zurück zum Zitat Zhang MG, Li WH, Liu MQ (2005) Adaptive PID control strategy based on RBF neural network identification. In: International conference on neural networks and brain (ICNN&B 2005). Beijing Zhang MG, Li WH, Liu MQ (2005) Adaptive PID control strategy based on RBF neural network identification. In: International conference on neural networks and brain (ICNN&B 2005). Beijing
6.
Zurück zum Zitat Akhyar S, Omatu S (1993) Self-tuning PID control by neural networks. In: International joint conference on neural network (IJCNN’93). Nagoya Akhyar S, Omatu S (1993) Self-tuning PID control by neural networks. In: International joint conference on neural network (IJCNN’93). Nagoya
13.
Zurück zum Zitat Decanete JF, Ollero A, Diazfondon M (1991) Autonomous controller tuning by using a neural network. In: International workshop on artificial neural networks (IWANN 91). Granada Decanete JF, Ollero A, Diazfondon M (1991) Autonomous controller tuning by using a neural network. In: International workshop on artificial neural networks (IWANN 91). Granada
14.
Zurück zum Zitat Wang GJ, Fong CT, Chang KJ (2001) Neural-network-based self-tuning PI controller for precise motion control of PMAC motors. IEEE Trans Ind Electron 48(2):408–415CrossRef Wang GJ, Fong CT, Chang KJ (2001) Neural-network-based self-tuning PI controller for precise motion control of PMAC motors. IEEE Trans Ind Electron 48(2):408–415CrossRef
15.
Zurück zum Zitat Nordgren RE, Meckl PH (1991) A comparison of a neural network and a model reference adaptive controller. In: IEEE 1991 international conference on systems engineering. Fairborn Nordgren RE, Meckl PH (1991) A comparison of a neural network and a model reference adaptive controller. In: IEEE 1991 international conference on systems engineering. Fairborn
16.
Zurück zum Zitat Yamada T, Yabuta T (1990) An extension of neural network direct controller. In: International workshop on intelligent robots and systems, towards a new frontier of applications Yamada T, Yabuta T (1990) An extension of neural network direct controller. In: International workshop on intelligent robots and systems, towards a new frontier of applications
17.
Zurück zum Zitat Lewis FL, Yesildirek A, Liu K (1993) Neural net robot controller: structure and stability proofs. In: IEEE Mediterranean symposium on new directions in control theory and applications. Khania Lewis FL, Yesildirek A, Liu K (1993) Neural net robot controller: structure and stability proofs. In: IEEE Mediterranean symposium on new directions in control theory and applications. Khania
20.
Zurück zum Zitat Khalid M, Omatu S, Yusof R (1992) Self learning process control systems by neural networks. In: 31st IEEE conference on decision and control. Tucson Khalid M, Omatu S, Yusof R (1992) Self learning process control systems by neural networks. In: 31st IEEE conference on decision and control. Tucson
24.
Zurück zum Zitat Saerens M, Soquet A (1989) A neural controller. In: International conference on artificial neural networks Saerens M, Soquet A (1989) A neural controller. In: International conference on artificial neural networks
32.
Zurück zum Zitat Wang DL A (2008) Model reference based neural network adaptive controller. In: International symposium on knowledge acquisition and modeling. Wuhan Wang DL A (2008) Model reference based neural network adaptive controller. In: International symposium on knowledge acquisition and modeling. Wuhan
33.
Zurück zum Zitat Spall JC, Cristion JA (1992) Direct adaptive control of nonlinear systems using neural networks and stochastic approximation. In: 31st IEEE conference on decision and control. Tucson Spall JC, Cristion JA (1992) Direct adaptive control of nonlinear systems using neural networks and stochastic approximation. In: 31st IEEE conference on decision and control. Tucson
46.
Zurück zum Zitat Jayawardena AW, Fernando DAK, Zhou MC (1997) Comparison of multilayer perceptron and radial basis function networks as tools for flood forecasting. In: International conference on destructive water: water-caused natural disasters, their abatement and control. Anaheim Jayawardena AW, Fernando DAK, Zhou MC (1997) Comparison of multilayer perceptron and radial basis function networks as tools for flood forecasting. In: International conference on destructive water: water-caused natural disasters, their abatement and control. Anaheim
50.
Zurück zum Zitat Aström KJ, Borisson U, Ljung L, Wittenmark B (1977) Theory and applications of self-tuning regulators. Automatica 13(5):457–476CrossRef Aström KJ, Borisson U, Ljung L, Wittenmark B (1977) Theory and applications of self-tuning regulators. Automatica 13(5):457–476CrossRef
51.
Zurück zum Zitat Efe MO, Kaynak O (2000) A comparative study of soft-computing methodologies in identification of robotic manipulators. Robot Auton Syst 30(3):221–230CrossRef Efe MO, Kaynak O (2000) A comparative study of soft-computing methodologies in identification of robotic manipulators. Robot Auton Syst 30(3):221–230CrossRef
54.
Zurück zum Zitat Efe MO (2011) Neural-Network-Based Control. In: Wilamowski BM, Irwin JD (eds) The industrial electronics handbook: intelligent systems. CRC Press, USA Efe MO (2011) Neural-Network-Based Control. In: Wilamowski BM, Irwin JD (eds) The industrial electronics handbook: intelligent systems. CRC Press, USA
55.
Zurück zum Zitat Denai MA, Palis F, Zeghbib A (2004) ANFIS based modelling and control of non-linear systems: a tutorial. In: IEEE international conference on systems, man and cybernetics Denai MA, Palis F, Zeghbib A (2004) ANFIS based modelling and control of non-linear systems: a tutorial. In: IEEE international conference on systems, man and cybernetics
59.
Zurück zum Zitat Thrun S, Burgard W, Fox D (2005) Probabilistic robotics. MIT Press, Cambridge, MAMATH Thrun S, Burgard W, Fox D (2005) Probabilistic robotics. MIT Press, Cambridge, MAMATH
60.
Zurück zum Zitat Er MJ, Wu SQ, Lu JW, Toh HL (2002) Face recognition with radial basis function (RBF) neural networks. IEEE Trans Neural Netw 13(3):697–710CrossRef Er MJ, Wu SQ, Lu JW, Toh HL (2002) Face recognition with radial basis function (RBF) neural networks. IEEE Trans Neural Netw 13(3):697–710CrossRef
63.
Zurück zum Zitat Amira GmbH (2000) DTS200—laboratory setup three-tank system Amira GmbH (2000) DTS200—laboratory setup three-tank system
65.
Zurück zum Zitat Chen H, Kremling H, Allgöwer F (1995) Nonlinear predictive control of a benchmark CSTR. In: 3rd European control conference Chen H, Kremling H, Allgöwer F (1995) Nonlinear predictive control of a benchmark CSTR. In: 3rd European control conference
66.
Zurück zum Zitat Engell S, Klatt KU (1993) Nonlinear control of a non-minimum-phase CSTR. In: American control conference. San Francisco Engell S, Klatt KU (1993) Nonlinear control of a non-minimum-phase CSTR. In: American control conference. San Francisco
67.
Zurück zum Zitat Vojtesek J, Dostál P (2010) Adaptive control of chemical reactor. In: International conference cybernetics and informatics Vojtesek J, Dostál P (2010) Adaptive control of chemical reactor. In: International conference cybernetics and informatics
68.
Zurück zum Zitat Jørgensen JB (2007) A critical discussion of the continuous-discrete extended Kalman filter. In: European congress of chemical engineering 6 Jørgensen JB (2007) A critical discussion of the continuous-discrete extended Kalman filter. In: European congress of chemical engineering 6
69.
Zurück zum Zitat Kulikov GY, Kulikova MV (2014) Accurate state estimation in the Van der Vusse reaction. In: IEEE conference on control applications (CCA). Nice Kulikov GY, Kulikova MV (2014) Accurate state estimation in the Van der Vusse reaction. In: IEEE conference on control applications (CCA). Nice
71.
Zurück zum Zitat Kravaris C, Niemiec M, Berber R, Brosilow CB (1998) Nonlinear model-based control of nonminimum-phase processes. In: Kravaris C, Berber R (eds) Nonlinear model based process control. Springer, Dordrecht, pp 115–142CrossRef Kravaris C, Niemiec M, Berber R, Brosilow CB (1998) Nonlinear model-based control of nonminimum-phase processes. In: Kravaris C, Berber R (eds) Nonlinear model based process control. Springer, Dordrecht, pp 115–142CrossRef
Metadaten
Titel
A Novel Model Predictive Runge–Kutta Neural Network Controller for Nonlinear MIMO Systems
verfasst von
Kemal Uçak
Publikationsdatum
07.01.2020
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 2/2020
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-019-10167-w

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