Nonsmooth Nonlinearities

  • Jing Zhou
  • Changyun Wen
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 372)


When dealing with real control problems, the designer is inevitably led to face the difficulties tied to the presence of real physical components, which often contain nonsmooth nonlinearities. In particular, actuators used in practice almost always contain static (e.g., dead-zone) or dynamic (e.g., backlash, hysteresis) nonlinearities, whose parameters are unknown and may vary with time. Dead-zone, backlash, hysteresis and saturation nonlinearities exist in mechanical, hydraulic, magnetic, and other types of system components. Nonsmooth nonlinearities are among the key factors limiting both static and dynamic performance of feedback control systems. As a matter of fact, these nonlinearities are particularly harmful and usually lead to a relevant deterioration of system performance. These nonsmooth nonlinear characteristics are often neglected in control system design. Nevertheless, certain design methods based on different control objectives and system conditions have been developed and verified in theory and practice. Some of them are reviewed below.


Piezoelectric Actuator Ultrasonic Motor Variable Structure Control Actuator Saturation Inertial Acceleration 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Jing Zhou
    • 1
  • Changyun Wen
    • 2
  1. 1.Norwegian University of Science and Technology, TrondheimNorway
  2. 2.Nanyang Technological UniversitySingapore

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