Discretization of Linear Fractional Representations of LPV systems

Abstract— Commonly, controllers for Linear ParameterVarying (LPV) systems are designed in continuous-time using a Linear Fractional Representation (LFR) of the plant. However, the resulting controllers are implemented on digital hardware. Furthermore, discrete-time LPV synthesis approaches require discrete-time model of the plant which is often derived from continuous-time first-principle models. Existing discretization approaches of LFRs suffer from disadvantages like alternation of dynamics, complexity, etc. To overcome the disadvantages, novel discretization methods are derived. These approaches are compared to existing techniques and analyzed in terms of approximation error, considering ideal zero-order hold actuation and sampling.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Roland Tóth, Marco Lovera, Peter S. C. Heuberger, Paul M. J. Van den Hof
• Keywords: CDC 2009, Control Systems, Discrete-time Lpv Synthesis, Discretization Approaches, Linear Fractional Representation