Radial Pole Paths SVSC for Linear Time Invariant Multi Input Systems with Constrained Inputs

Abstract

In this article a novel soft variable structure control method is proposed to reduce the settling time of liner time-invariant multi-input systems with constrained inputs. The method is a generalized pole placement technique which extends the desired pole locations to radial pole paths to reduce settling time while satisfying input constraints. The control signal obtained by this method is soft and is therefore suited to industrial applications. The paper provides a test for the stability of the control system based on the multivariable circle criterion and the Kalman-Yakubovich-Popov lemma. Simulation results where the method is applied to an aviation example, and comparison with pole placement, demonstrate how the method significantly increases the speed of response in spite of the input constraints.

Radial pole path approach for fast response of affine constrained nonlinear systems with matched uncertainties

“…The authors have recently introduced a novel VSC method that eliminates many of the aforementioned disadvantages for SISO and MIMO linear systems without taking into account uncertainties. In spite of significant efforts in VSC development to reduce settling time, all the published results are limited to different class of linear systems.…”