Integral state-feedback control of linear time-varying systems: A performance preserving approach. (February 2022)

• Record Type: Journal Article
• Authors: Seeber, Richard; Tranninger, Markus
• Is Part Of: Automatica. Volume 136(2022)
• Publication Date: 2022-02
• Subjects: Time-varying systems -- Multivariable systems -- Disturbance rejection -- Integral control -- Windup mitigation; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.110000
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: An integral extension of state-feedback controllers for linear time-varying plants is proposed, which preserves performance of the nominal controller in the unperturbed case. Similar to time-invariant state feedback with integral action, the controller achieves complete rejection of disturbances whose effective action on the plant is constant with respect to the control input. Moreover, bounded-input bounded-state stability with respect to arbitrary disturbances is shown. A modification for preventing controller windup as well as tuning guidelines are discussed. The efficacy of the proposed technique is demonstrated in simulation for a two-tank system that is linearized along a time-varying reference trajectory.