Controlling of Non-minimum Phase System Using Harmony Search Algorithm

  • Vivek Kumar Jaiswal
  • Anurag SinghEmail author
  • Shekhar Yadav
  • Shyam Krishna Nagar
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 847)


In this paper, a non-minimum phase system with dead time is controlled by intending the optimized proportional, integral, and derivative controller (PIDC). A system problem is formulated to the non-minimum phase system in which zeroes in the right half-plane (RHP) make system insignificant as delay raises. To enhance the system performance, the factors of the conventional PIDC are optimized by a heuristic algorithm (HA), chosen harmony search (HS). HA, copying the invention of music players, chosen harmony search algorithm (HSA). The HSA looks to acquire a global optimal magnitude of the conventional PIDC and genetic algorithm (GA) in the area portrayed by the regular PID controller and GA. The simulation results demonstrate the transient responses such as settling, rise, peak time, undershoot, and overshoot. Thus to optimized the parameters by minimizing integral square error (ISE) of the given system is improved by the proposed method.


Non-minimum phase (NMP) system Conventional PID controller Harmony search algorithm (HSA) Harmony memory considering rate (HMCR) Pitch adjusting rate (PAR) 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Vivek Kumar Jaiswal
    • 1
  • Anurag Singh
    • 1
    Email author
  • Shekhar Yadav
    • 1
  • Shyam Krishna Nagar
    • 2
  1. 1.Department of Electrical EngineeringMMMUTGorakhpurIndia
  2. 2.Department of Electrical EngineeringIIT (BHU)VaranasiIndia

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