Design Examples

  • Mi-Ching Tsai
  • Da-Wei Gu
Part of the Advances in Industrial Control book series (AIC)


In this chapter, several design examples are illustrated to demonstrate the validity of the CSD two-port framework. Two different design methodologies with respect to speed control of DC servomotors are presented. These examples will show how industrial controllers, such as pseudo derivative feedback (PDF) controllers and pseudo derivative feedback with feedforward (PDFF) controllers, can be formulated into the standard control design framework and then solved by the state-space solution procedures presented in previous chapters. By defining the transfer function from the load torque disturbance to the controlled output, the dynamic stiffness of a servo control system is characterized, and a scalar index value is defined by the inverse of the maximum magnitude of the transfer function with respect to frequency, i.e., the worst case in the frequency response. Thus, for performance measurement of robust design, maximizing the dynamic stiffness measurement implies minimizing the H -norm in controller design. This chapter will also show how the dynamic stiffness of a servo system can be achieved by H design.


Dynamic Stiffness Loop Transfer Function Coprime Factorization Servo Control System Current Control Loop 
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  1. 1.
    Alter DM, Tsao TC (1996) Control of linear motors for machine tool feed drives: design and implementation of H optimal feedback control. ASME J Dyn Syst Meas Control 118:649–656CrossRefzbMATHGoogle Scholar
  2. 2.
    Ellis G (2012) Control system design guide. Elsevier Science, OxfordGoogle Scholar
  3. 3.
    Fu L, Ling SF, Tseng CH (2007) On-line breakage monitoring of small drills with input impedance of driving motor. Mech Syst Signal Process 21(1):457–465CrossRefGoogle Scholar
  4. 4.
    Glover K, McFarlane D (1989) Robust stabilization of normalized coprime factor plant description with H -bounded uncertainty. IEEE Trans AC 34(8):821–830CrossRefzbMATHMathSciNetGoogle Scholar
  5. 5.
    Hof P, Schrama R, Callafon R, Bosgra O (1995) Identification of normalized coprime plant factors from closed loop experimental data. Eur J Control 1(1):62–74CrossRefzbMATHGoogle Scholar
  6. 6.
    Kuo BC (1986) Automatic control systems. Prentice Hall, Englewood CliffsGoogle Scholar
  7. 7.
    Ling SF, Xie Y (2001) Detecting mechanical impedance of structure using the sensing capability of a piezoceramic inertial actuator. Sens Actuators 93:243–249CrossRefGoogle Scholar
  8. 8.
    McFarlane D, Glover K (1992) A loop shaping design procedure using H synthesis. IEEE Trans AC 37(6):759–769CrossRefzbMATHMathSciNetGoogle Scholar
  9. 9.
    Shen BH, Tsai MC (2006) Robust dynamic stiffness design of linear servomotor drives. IFAC J Control Eng Prac 14(11):1325–1336CrossRefGoogle Scholar
  10. 10.
    Tal J (1994) Step-by-step of motion control systems. Galil Motion Control, Inc., RocklinGoogle Scholar
  11. 11.
    Tsai MC, Chang JY (1995) LQG/LTR loop shaping design with an application to position control. J Chin Inst Eng 18(2):281–292CrossRefGoogle Scholar
  12. 12.
    Tsai MC, Geddes EJM, Postlethwaite I (1992) Pole-zero cancellations and closed-loop properties of an H mixed sensitivity design problem. Automatica 28(3):519–530CrossRefzbMATHMathSciNetGoogle Scholar
  13. 13.
    Whidborne J, Postlethwaite I, Gu DW (1993) Robust controller design using H loop-shaping and the method of inequalities. In: Proceedings of conference on decision and control, San Antonio, TX, USA, pp 2163–2168Google Scholar

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  • Mi-Ching Tsai
    • 1
  • Da-Wei Gu
    • 2
  1. 1.Department of Mechanical EngineeringNational Cheng Kung UniversityTainanTaiwan
  2. 2.Department of EngineeringUniversity of LeicesterLeicesterUK

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