MFAC and Parameter Optimization for a Class of Models in HVAC

  • Zengxi Feng
  • Junqi YuEmail author
  • Zhongtian Rao
  • Anjun Zhao
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 890)


That the aging equipment, nonlinearity, and other external factors combine to make one-order plus time-delay process model be uncertain in Heating, Ventilation, and Air Conditioning (HVAC) makes the initial control parameters ineffective. Aiming at one-order plus time-delay process model with uncertainty in HVAC, the Model-Free Adaptive Control (MFAC) is introduced in studying the control characters. The changes on the overshoot and settling time are simulated and compared with PID, which shows that MFAC has good stability and anti-interference and is insensitive to the change of time-delay. Therefore, it is proved that MFAC is suitable for solving the problem of control failure caused by changing time-delay. However, there are no good methods for the parameters setting of MFAC, which makes it difficult to find the optimal controller parameters. Aiming at the condition, the simplex method is used to optimize the controller parameters and the first-order inertia plus time-delay model is regarded as the controlled object in this paper. The simulation results show that the MFAC parameters optimized by the simplex method have good control results.


Model-free adaptive control Uncertainty Anti-interference Simplex Optimization 



This study was supported by the National Key Research and Development Program Project (2017YFC0704100), the Special Research Project of Shaanxi Science and Technology Department (2017JM6106), and the Xi’an University of Architecture and Technology Foundation Fund Project (JC1706).


  1. 1.
    Sanz, R., García, P., Albertos, P.: A generalized smith predictor for unstable time-delay SISO systems. ISA Trans. 72(1), 197–204 (2018)CrossRefGoogle Scholar
  2. 2.
    Hou, Z.S., Jin, S.T.: A novel data-driven control approach for a class of discrete-time nonlinear systems. IEEE Trans. Control. Syst. Technol. 19(6), 1549–1558 (2011)Google Scholar
  3. 3.
    Hou, Z.S., Zhu, Y.M.: Model based control and MFAC, which is better in simulation? IFAC Proc. Vol. 46(13), 82–87 (2013)CrossRefGoogle Scholar
  4. 4.
    Hou, Z.S., Xu, J.X.: On data-driven control theory: the state of the art and perspective. Acta Autom. Sin. 35(6), 650–667 (2009)CrossRefGoogle Scholar
  5. 5.
    Han, Z.G.: An integrated approach to modeling and adaptive control. Acta Autom. Sin. 30(3), 380–389 (2006)MathSciNetGoogle Scholar
  6. 6.
    Hou, Z.S., Gao, H.J.: Data-driven control and learning systems. IEEE Trans. Industr. Electron. 64(5), 4070–4075 (2017)CrossRefGoogle Scholar
  7. 7.
    Hou, Z.S., Chi, R.H.: An overview of dynamic-linearization-based data-driven control and applications. IEEE Trans. Ind. Electron. 64(5), 4076–4090 (2017)Google Scholar
  8. 8.
    Yang, S.Z., Ren, Q.C.: Robust control based on fan model uncertainty. Meas. & Control. Technol. 32(10), 69–74 (2013). (in Chinese)Google Scholar
  9. 9.
    Kudinov, Y.I., Kolesnikov, V.A., Pashchenko, F.F.: Optimization of fuzzy PID controller’s parameters. Procedia Comput. Sci. 103, 618–622 (2017)CrossRefGoogle Scholar
  10. 10.
    Aekarin, S., Wudhichai, A.: Particle swam optimization based optimal PID parameters for air heater temperature control system. Procedia Comput. Sci. 86, 108–111 (2016)CrossRefGoogle Scholar
  11. 11.
    Li, C.Q., Liu, G.S.: Development & simulation of MFA control module based on Matlab-Simulink. Control. Eng. China 15(9), 61–63 (2008). (in Chinese)Google Scholar
  12. 12.
    Liu, X.Q., Wang, Y., Mu, S.Y.: Design of optimal parameters for PID controller Based on Simplex Search. Comput. Simul. 21(11), 191–194 (2005). (in Chinese)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Zengxi Feng
    • 1
    • 2
  • Junqi Yu
    • 1
    • 2
    Email author
  • Zhongtian Rao
    • 1
  • Anjun Zhao
    • 1
  1. 1.School of Building Services Science & EngineeringXi’an University of Architecture and TechnologyXi’anChina
  2. 2.State Key Laboratory of Green Building in Western ChinaXi’an University of Architecture and TechnologyXi’anChina

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