EAN: 9781447150398

SPRINGERBRIEFS IN ELECTRICAL AND COMPUTER ENGIN...

The subject of this brief is the application of linear parameter-varying (LPV) control to a
class of dynamic systems to provide a systematic synthesis of gain-scheduling controllers with
guaranteed stability and performance. An important step in LPV control design  which is not
well covered in the present literature  is the selection of weighting functions. The proper
selection of weighting functions tunes the controller to obtain the desired closed-loop
response. The selection of appropriate weighting functions is difficult and sometimes appears
arbitrary. In this brief  gain-scheduling control with engineering applications is covered in
detail  including the LPV modeling  the control problem formulation  and the weighting function
optimization. In addition  an iterative algorithm for obtaining optimal output weighting
functions with respect to the H2 norm bound is presented in this brief. Using this algorithm 
the selection of appropriate weighting functions becomes an automatic process. The LPV design
and control synthesis procedures in this brief are illustrated using: . air-to-fuel ratio
control for port-fuel-injection engines  . variable valve timing control  and . application to
a vibration control problem. After reading this brief  the reader will be able to apply its
concepts to design gain-scheduling controllers for their own engineering applications. This
brief provides detailed step-by-step LPV modeling and control design strategies along with an
automatic weight-selection algorithm so that engineers can apply state-of-the-art LPV control
synthesis to solve their own engineering problems. In addition  this brief should serve as a
bridge between the H-infinity and H2 control theory and the real-world application of
gain-scheduling control.

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