Novel LPV-based Control Approach for Nonlinear Physiological Systems

Abstract

The current paper introduces a novel controller design approach dealing with the control of affine Linear Parameter Varying (LPV) systems using the abstract mathematical properties of the LPV parameter space and classical state-feedback design. By the designed controller structure the parameter dependent LPV system mimics a given selected reference LTI system reaching given performance specifications originally prescribed for the reference LTI system. Further, the actual feedback gains are calculated by comparison to the reference control gains -thus, realizing a "relative control". The method is demonstrated on given nonlinear biomedical problems with simulation results under MATLAB.