Impulse response parameter based internal model control for discrete-time LPV systems

Kulcsár, Balázs Adam,1975Chalmers tekniska högskola,Chalmers University of Technology (author)

This paper presents a novel impulse response parameter based solution for internal model control (IMC) within the linear parameter varying framework. First, based on a discrete-time state-space representation, a finite horizon vector autoregressive model with exogenous disturbance (VARX) is obtained to describe the I/O relationship of an affine LPV plant. In this paper, inversion of the VARX model w.r.t. control input directly leads to a IMC law where analytic solution can be derived for unconstrained and optimal reference tracking error minimization. When the bias term in the finite horizon I/O predictor is neglected, asymptotic properties of closed-loop IMC is analyzed. The VARX parameters of the I/O LPV model can be factorized into a scheduling dependent data matrix and a sequence of constant impulse response parameters (IRPs). The latter part can consistently be identified from data as a single least-squares problem. Without the need to build or identify an LPV state-space model, this methodology is able to address IMC tracking error minimization by using IRPs. The viability of the proposed method is numerically tested in simulation environment.

Dong, JTechnische Universiteit Delft,Delft University of Technology (TU Delft) (author)
Chalmers tekniska högskolaTechnische Universiteit Delft (creator_code:org_t)

In:13th European Control Conference, ECC 2014, Strasbourg Convention and Exhibition Center, Place de Bordeaux, Strasbourg, France, 24-27 June 2014, s. 424-4299783952426913

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