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Linear Parameter-Varying Control for Engineering Applications (Paperback, 2013 ed.)
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Linear Parameter-Varying Control for Engineering Applications (Paperback, 2013 ed.)
Series: SpringerBriefs in Electrical and Computer Engineering
Expected to ship within 10 - 15 working days
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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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