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Research Papers

An Adaptive Centralized Approach to Control Chaotic and Hyperchaotic Dynamics of Smart Valves Network

[+] Author and Article Information
Peiman Naseradinmousavi

Assistant Professor
Dynamic Systems and
Control Laboratory (DSCL),
Department of Mechanical Engineering,
San Diego State University,
San Diego, CA 92115
e-mails: pnaseradinmousavi@mail.sdsu.edu;
peiman.n.mousavi@gmail.com

Hashem Ashrafiuon

Professor
Director of Center for
Nonlinear Dynamics and Control,
Department of Mechanical Engineering,
Villanova University,
Villanova, PA 19085
e-mail: hashem.ashrafiuon@villanova.edu

Mohammad A. Ayoubi

Department of Mechanical Engineering,
Santa Clara University,
Santa Clara, CA 95053
e-mail: maayoubi@scu.edu

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 25, 2016; final manuscript received July 29, 2017; published online October 9, 2017. Assoc. Editor: Hiroshi Yabuno.

J. Comput. Nonlinear Dynam 13(1), 011002 (Oct 09, 2017) (11 pages) Paper No: CND-16-1518; doi: 10.1115/1.4037593 History: Received October 25, 2016; Revised July 29, 2017

Catastrophic chaotic and hyperchaotic dynamical behaviors have been experimentally observed in the so-called “smart valves” network, given certain critical parameters and initial conditions. The centralized network-based control of these coupled systems may effectively mitigate the harmful dynamics of the valve-actuator configuration which can be potentially caused by a remote set and would gradually affect the whole network. In this work, we address the centralized control of two bi-directional solenoid actuated butterfly valves dynamically coupled in series subject to the chaotic and hyperchaotic dynamics. An interconnected adaptive scheme is developed and examined to vanish both the chaotic and hyperchaotic dynamics and return the coupled network to its safe domain of operation.

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References

Naseradinmousavi, P. , Segala, D. B. , and Nataraj, C. , 2016, “ Chaotic and Hyperchaotic Dynamics of Smart Valves System Subject to a Sudden Contraction,” ASME J. Comput. Nonlinear Dyn., 11(5), p. 051025. [CrossRef]
Naseradinmousavi, P. , Krstic, M. , and Nataraj, C. , 2016, “ Design Optimization of Dynamically Coupled Actuated Butterfly Valves Subject to a Sudden Contraction,” ASME J. Mech. Des., 138(4), p. 041402. [CrossRef]
Naseradinmousavi, P. , Machiani, S. G. , Ayoubi, M. A. , and Nataraj, C. , 2017, “ Coupled Operational Optimization of Smart Valve System Subject to Different Approach Angles of a Pipe Contraction,” J. Struct. Multidiscip. Optim., 55(3), pp. 1001–1015. [CrossRef]
Naseradinmousavi, P. , 2015, “ A Novel Nonlinear Modeling and Dynamic Analysis of Solenoid Actuated Butterfly Valves Coupled in Series,” ASME J. Dyn. Syst. Meas. Control, 137(1), p. 014505. [CrossRef]
Naseradinmousavi, P. , and Nataraj, C. , 2013, “ Optimal Design of Solenoid Actuators Driving Butterfly Valves,” ASME J. Mech. Des., 135(9), p. 094501. [CrossRef]
Naseradinmousavi, P. , and Nataraj, C. , 2012, “ Transient Chaos and Crisis Phenomena in Butterfly Valves Driven by Solenoid Actuators,” J. Commun. Nonlinear Sci. Numer. Simul., 17(11), pp. 4336–4345. [CrossRef]
Lee, D. , Naseradinmousavi, P. , and Nataraj, C. , 2012, “ Nonlinear Model-Based Adaptive Control of a Solenoid-Valve System,” J. Control Sci. Eng., 2012, p. 846458. [CrossRef]
Naseradinmousavi, P. , and Nataraj, C. , 2011, “ Nonlinear Mathematical Modeling of Butterfly Valves Driven by Solenoid Actuators,” J. Appl. Math. Modell., 35(5), pp. 2324–2335. [CrossRef]
Naseradinmousavi, P. , Krstic, M. , Bagheri, M. , and Nataraj, C. , 2016, “ Coupled Chaotic and Hyperchaotic Dynamics of Actuated Butterfly Valves Operating in Series,” ASME Paper No. DSCC2016-9601.
Naseradinmousavi, P. , Bagheri, M. , and Nataraj, C. , 2016, “ Coupled Operational Optimization of Smart Valve System Subject to Different Approach Angles of a Pipe Contraction,” ASME Paper No. DSCC2016-9627.
Naseradinmousavi, P. , and Nataraj, C. , 2015, “ Design Optimization of Solenoid Actuated Butterfly Valves Dynamically Coupled in Series,” ASME Paper No. DSCC2015-9605.
Naseradinmousavi, P. , 2015, “ Optimal Design of Solenoid Actuated Butterfly Valves Dynamically Coupled in Series,” ASME Paper No. IMECE2015-50094.
Naseradinmousavi, P. , and Nataraj, C. , 2011, “ A Chaotic Blue Sky Catastrophe of Butterfly Valves Driven by Solenoid Actuators,” ASME Paper No. IMECE2011-62608.
Chang-Jian, C.-W. , 2014, “ Gear Dynamics Analysis With Turbulent Journal Bearings Mounted Hybrid Squeeze Film Damper-Chaos and Active Control Analysis,” ASME J. Comput. Nonlinear Dyn., 10(1), p. 011011. [CrossRef]
Morel, C. , Vlad, R. , and Morel, J.-Y. , 2008, “ Anticontrol of Chaos Reduces Spectral Emissions,” ASME J. Comput. Nonlinear Dyn., 3(4), p. 041009. [CrossRef]
Chen, D. , and Liu, W. , 2016, “ Chaotic Behavior and Its Control in a Fractional-Order Energy Demand-Supply System,” ASME J. Comput. Nonlinear Dyn., 11(6), p. 061010. [CrossRef]
Wang, B. , Shi, K. , Zhang, C. , and Zhu, D. , 2015, “ Fuzzy Generalized Predictive Control for Nonlinear Brushless Direct Current Motor,” ASME J. Comput. Nonlinear Dyn., 11(4), p. 041004. [CrossRef]
Luo, R. , and Zeng, Y. , 2015, “ The Control and Synchronization of a Class of Chaotic Systems With Output Variable and External Disturbance,” ASME J. Comput. Nonlinear Dyn., 11(5), p. 051011. [CrossRef]
Reddy, B. S. , and Ghosal, A. , 2015, “ Asymptotic Stability and Chaotic Motions in Trajectory Following Feedback Controlled Robots,” ASME J. Comput. Nonlinear Dyn., 11(5), p. 051012. [CrossRef]
Khamsuwan, P. , and Kuntanapreeda, S. , 2016, “ A Linear Matrix Inequality Approach to Output Feedback Control of Fractional-Order Unified Chaotic Systems With One Control Input,” ASME J. Comput. Nonlinear Dyn., 11(5), p. 051021. [CrossRef]
Merat, K. , Chekan, J. A. , Salarieh, H. , and Alasty, A. , 2014, “ Control of Discrete Time Chaotic Systems Via Combination of Linear and Nonlinear Dynamic Programming,” ASME J. Comput. Nonlinear Dyn., 10(1), p. 011008. [CrossRef]
Tian, X. , and Fei, S. , 2015, “ Adaptive Control for Fractional-Order Micro-Electro-Mechanical Resonator With Nonsymmetric Dead-Zone Input,” ASME J. Comput. Nonlinear Dyn., 10(6), p. 061022. [CrossRef]
Aghababa, M. P. , and Hashtarkhani, B. , 2015, “ Synchronization of Unknown Uncertain Chaotic Systems Via Adaptive Control Method,” ASME J. Comput. Nonlinear Dyn., 10(5), p. 051004. [CrossRef]
Li, C. , Su, K. , and Wu, L. , 2012, “ Adaptive Sliding Mode Control for Synchronization of a Fractional-Order Chaotic System,” ASME J. Comput. Nonlinear Dyn., 8(3), p. 031005. [CrossRef]
Arefi, M. M. , 2016, “ Adaptive Robust Stabilization of Rossler System With Time-Varying Mismatched Parameters Via Scalar Input,” ASME J. Comput. Nonlinear Dyn., 11(4), p. 041024. [CrossRef]
Templeton, B. A. , Cox, D. E. , Kenny, S. P. , Ahmadian, M. , and Southward, S. C. , 2010, “ On Controlling an Uncertain System With Polynomial Chaos and H2 Control Design,” ASME J. Dyn. Syst. Meas. Control, 132(6), p. 061304. [CrossRef]
Alasty, A. , and Salarieh, H. , 2007, “ Identification and Control of Chaos Using Fuzzy Clustering and Sliding Mode Control in Unmodeled Affine Dynamical Systems,” ASME J. Dyn. Syst. Meas. Control, 130(1), p. 011004. [CrossRef]
Treesatayapun, C. , and Uatrongjit, S. , 2005, “ Controlling Chaos by Hybrid System Based on FREN and Sliding Mode Control,” ASME J. Dyn. Syst. Meas. Control, 128(2), pp. 352–358. [CrossRef]
Naseradinmousavi, P. , 2012, “ Nonlinear Modeling, Dynamic Analysis, and Optimal Design and Operation of Electromechanical Valve Systems,” Ph.D. thesis, Villanova University, Villanova, PA.
Bennett, C. O. , and Myers, J. E. , 1962, Momentum, Heat, and Mass Transfer, McGraw-Hill, New York.
Massey, B. S. , and Ward-Smith, J. , 1998, Mechanics of Fluids, 7th ed., CRC Press, Boca Raton, FL.
Nayfeh, A. H. , and Balachandran, B. , 1995, Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods, Wiley, Hoboken, NJ. [CrossRef]
Krstić, M. , Kanellakopoulos, I. , and Kokotović, P. , 1995, Nonlinear and Adaptive Control Design, Wiley-Interscience, New York.
Krstic, M. , and Kokotovic, P. V. , 1995, “ Control Lyapunov Functions for Adaptive Nonlinear Stabilization,” Syst. Control Lett., 26(1), pp. 17–23. [CrossRef]
Slotine, J. J. E. , and Li, W. , 1991, Applied Nonlinear Control, Prentice Hall, Upper Saddle River, NJ.

Figures

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Fig. 1

(a) A schematic configuration of two bi-directional solenoid actuated butterfly valves subject to the sudden contraction and (b) a coupled model of two butterfly valves in series without actuation

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Fig. 2

(a) The coupled sets' phase portraits for Initial1 and (b) the coupled sets' phase portraits for Initial2

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Fig. 3

(a) The Lyapunov exponents for Initial1, (b) the positive Lyapunov exponents for Initial2 versus different approach angles (θ), (c) the Poincaré map for Initial1 of the upstream set, (d) the Poincaré map for Initial1 of the downstream set, (e) the Poincaré map for Initial2 of the upstream set, and (f) the Poincaré map for Initial2 of the downstream set

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Fig. 4

The parameter estimation for Θ1–Θ8 of the upstream set and Θ18–Θ25 of the downstream set

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Fig. 5

The parameter estimation for Θ9–Θ17 of the upstream set and Θ26–Θ34 of the downstream set

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Fig. 6

(a) The control inputs and (b) the magnetic torques

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Fig. 7

(a) The valves' rotation angles, (b) the error signals, and (c) the combined tracking error signals

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Fig. 8

(a) The control inputs and (b) the magnetic torques

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Fig. 9

(a) The valves' rotation angles, (b) the error signals, and (c) the combined tracking error signals

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