Open Access Open Access  Restricted Access Subscription Access

SIMULATION OF REDUCTION ORDER MODEL LTNEAR PARAMETER VARYING (LPV) SYSTEMS USING MATLAB SOFTWARE

Rahma Zuhra

Abstract


The use of optimal control techniques on high-order systems produce
high-order controller. Therefore, an approximation from high-order
system to low-order system is needed. The approximation is known as
reduction model. In this paper we study one of reduction model of
Linear Parameter Varying (LPV) i.e. method balanced truncation. The
procedure of this method can be stated as follows:First, the quadratic
stable (Q-stable) is shown for given a high-order of LPV. Second, the
state space realization ofthe high-order LPV plant is transformed to the
balanced realization. Third, the balanced realizations are truncated to
obtain the reduced-order plant. Fourth, the reduced-order plant is
shown similar properties with the high-order plant. Finally, the
simulation is carried out for a missile autopilot by using LMI Control
toolbox and Robust Control toolbox in MATLAB software. From the
simulation results we obtain that the reduction system has similar
properties with the high-order system, i.e. Q-stable and balanced.

Keywords: LPV system, Q-stable, LPV Balanced Truncation, LMI
Control toolbox and Robust Control toolbox.


Full Text:

PDF

Refbacks

  • There are currently no refbacks.