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Output feedback integral sliding mode controller of time‐delay systems with mismatch disturbances
Author(s) -
Ting HuanChan,
Chang JeangLin,
Chen YonPing
Publication year - 2012
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.438
Subject(s) - control theory (sociology) , integral sliding mode , controller (irrigation) , sliding mode control , mode (computer interface) , algebraic number , algebraic riccati equation , stability (learning theory) , attenuation , moment (physics) , mathematics , riccati equation , computer science , control (management) , nonlinear system , mathematical analysis , physics , optics , classical mechanics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , differential equation , operating system
For uncertain time‐delay systems with mismatch disturbances, this paper presented an integral sliding mode control algorithm using output information only. An integral sliding surface is comprised of output signals and an auxiliary full‐order compensator. The designed output feedback sliding mode controller can locally satisfy the reaching and sliding condition and maintain the system on the sliding surface from the initial moment. Since the system is in the sliding mode and two specific algebraic Riccati inequalities are established, the proposed algorithm can guarantee the stability of the closed‐loop system and satisfy the property of disturbance attenuation. Moreover, the design parameters of the controller and compensator can be simultaneously determined by solutions to two algebraic Riccati inequalities. Finally, a numerical example illustrates the applicability of the proposed scheme.Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society