Soft Variable Structure Control of Linear Systems via Desired Pole Paths

Mojtaba Kaheni, Mohammad Hadad Zarif, Ali Akbarzadeh Kalat, Mohammad Sami Fadali


In this article, a novel method of soft variable structure control of linear systems, desired pole paths, is proposed. The proposed method is helpful to reach a fast response when a continuous control signal and satisfaction of some constraints are desired. The method selects a desired path for closed loop poles instead of the exact location of poles, then the pole placement in this path is determined by solving an optimization problem subject to a control signal constraint leading to a suboptimal control structure. The stability of the proposed method is provided based on the multivariable circle criterion and the Kalman-Yakubovich-Popov lemma. A design parameter is also introduced in this paper which can adjust a tradeoff between speed of response and smoothness of the control signal. Simulation of a satellite model shows an improvement in shortening the settling time and softening the control signal compared to published soft variable structure control schemes.



Circle criterion; Desired pole paths; Linear control; Nonlinear control; Variable structure control

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Print ISSN: 1392-124X 
Online ISSN: 2335-884X