Parameter identification of nonlinear system using an improved Lozi map based chaotic optimization algorithm (ILCOA)

In this paper, an efficient stochastic optimization algorithm is presented for parameter identification of nonlinear systems. Due to its robust performance, short running time and desirable potency to find local minimums the Lozi map-based chaotic optimization algorithm is an appropriate choice to estimate unknown parameters of nonlinear dynamic systems. To enhance the identification efficacy and in order to escape local minimum, a modified version of this algorithm with higher stability and better performance is rendered in this paper. An Improved Lozi map-based chaotic optimization algorithm (ILCOA) is employed to identify three nonlinear systems and the performance of the proposed algorithm is compared with other optimization algorithms. The simulation results of identification endorse the effectiveness of the proposed method.

[1]  A. Chatterjee,et al.  Chaotic ant swarm optimization for fuzzy-based tuning of power system stabilizer , 2011 .

[2]  Mohammad Reza Azizian,et al.  On the Parameter Extraction of a Five-Parameter Double-Diode Model of Photovoltaic Cells and Modules , 2014, IEEE Journal of Photovoltaics.

[3]  Alireza Khosravi,et al.  Immersion and invariance-based filtered transformation with application to estimator design for a class of DC-DC converters , 2019 .

[4]  Kang Li,et al.  An improved TLBO with elite strategy for parameters identification of PEM fuel cell and solar cell models , 2014 .

[5]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[6]  Milad Malekzadeh,et al.  Observer based control scheme for DC-DC boost converter using sigma–delta modulator , 2018 .

[7]  Wenyin Gong,et al.  Parameter extraction of solar cell models using repaired adaptive differential evolution , 2013 .

[8]  Héctor Pomares,et al.  Self-evolving parameter-free Rule-based Controller , 2012, 2012 IEEE International Conference on Fuzzy Systems.

[9]  Igor Skrjanc,et al.  A practical implementation of self-evolving cloud-based control of a pilot plant , 2013, 2013 IEEE International Conference on Cybernetics (CYBCO).

[10]  Francisco Gordillo,et al.  Quantum neural network-based intelligent controller design for CSTR using modified particle swarm optimization algorithm , 2019, Trans. Inst. Meas. Control.

[11]  Peter Jones,et al.  Signal processing for control , 1986 .

[12]  Yong Wang,et al.  Parameter estimation of photovoltaic modules using a hybrid flower pollination algorithm , 2017 .

[13]  Plamen P. Angelov,et al.  Density-based averaging - A new operator for data fusion , 2013, Inf. Sci..

[14]  Yoram Bresler,et al.  Exact maximum likelihood parameter estimation of superimposed exponential signals in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[15]  Stephen A. Billings,et al.  A comparison of the backpropagation and recursive prediction error algorithms for training neural networks , 1991 .

[16]  Saeid Sanei,et al.  Optimization of Orthogonal Polyphase Coding Waveform for MIMO Radar based on Evolutionary Algorithms , 2013 .

[17]  Rasmus K. Ursem,et al.  Parameter identification of induction motors using stochastic optimization algorithms , 2004, Appl. Soft Comput..

[18]  Plamen P. Angelov,et al.  Autonomous novelty detection and object tracking in video streams using evolving clustering and Takagi-Sugeno type neuro-fuzzy system , 2008, 2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence).

[19]  Renato A. Krohling,et al.  Swarm algorithms with chaotic jumps applied to noisy optimization problems , 2011, Inf. Sci..

[20]  Leandro dos Santos Coelho,et al.  Tuning of PID controller for an automatic regulator voltage system using chaotic optimization approach , 2009 .

[21]  C. Chellaswamy,et al.  Parameter extraction of solar cell models based on adaptive differential evolution algorithm , 2016, Renewable Energy.

[22]  Kashif Ishaque,et al.  Simple, fast and accurate two-diode model for photovoltaic modules , 2011 .

[23]  Parimal Acharjee,et al.  Chaotic particle swarm optimization based robust load flow , 2010 .

[24]  Igor Skrjanc,et al.  Robust evolving cloud-based controller for a hydraulic plant , 2013, 2013 IEEE Conference on Evolving and Adaptive Intelligent Systems (EAIS).

[25]  Sheng Chen,et al.  Orthogonal least squares methods and their application to non-linear system identification , 1989 .

[26]  Ying Liao,et al.  Parameter identification of nonlinear dynamic systems using an improved particle swarm optimization , 2016 .

[27]  Saeed Khorashadizadeh,et al.  Designing multi-layer quantum neural network controller for chaos control of rod-type plasma torch system using improved particle swarm optimization , 2019, Evol. Syst..

[28]  Yu He,et al.  Parameter extraction of solar photovoltaic models using an improved whale optimization algorithm , 2018, Energy Conversion and Management.

[29]  E. Abdul Jaleel,et al.  Identification of realistic distillation column using hybrid particle swarm optimization and NARX based artificial neural network , 2018, Evolving Systems.

[30]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[31]  Plamen P. Angelov,et al.  Autonomous visual self-localization in completely unknown environment , 2007, 2012 IEEE Conference on Evolving and Adaptive Intelligent Systems.

[32]  Mojtaba Alizadeh,et al.  Adaptive PID controller design for wing rock suppression using self-recurrent wavelet neural network identifier , 2016, Evol. Syst..

[33]  Heng Wang,et al.  Parameter extraction of solar cell models using improved shuffled complex evolution algorithm , 2018, Energy Conversion and Management.

[34]  Soheil Ganjefar,et al.  PID controller adjustment using chaotic optimisation algorithm for multi-area load frequency control , 2012 .

[35]  Alireza Khosravi,et al.  Optimization of Orthogonal Poly Phase Coding Waveform Based on Bees Algorithm and Artificial Bee Colony for MIMO Radar , 2012, ICIC.

[36]  Mohammad Saleh Tavazoei,et al.  Comparison of different one-dimensional maps as chaotic search pattern in chaos optimization algorithms , 2007, Appl. Math. Comput..

[37]  Chang-song Zhou,et al.  Chaotic neural networks and chaotic annealing , 2000, Neurocomputing.

[38]  Xiangqing Chen,et al.  Adaptive finite-time control of chaos in permanent magnet synchronous motor with uncertain parameters , 2014 .

[39]  Suresh Gurjar,et al.  A Novel Simplified Two-Diode Model of Photovoltaic (PV) Module , 2014, IEEE Journal of Photovoltaics.

[40]  Xiangtao Li,et al.  Parameter estimation for chaotic systems by hybrid differential evolution algorithm and artificial bee colony algorithm , 2014 .