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Optimal discrete higher‐order sliding mode control of uncertain LTI systems with partial state information
Author(s) -
Sharma Nalin Kumar,
Janardhanan Sivaramakrishnan
Publication year - 2017
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3785
Subject(s) - control theory (sociology) , sliding mode control , discrete time and continuous time , mode (computer interface) , quadratic equation , state (computer science) , controller (irrigation) , discrete system , order (exchange) , mathematics , computer science , optimal control , control (management) , mathematical optimization , algorithm , nonlinear system , economics , statistics , physics , geometry , finance , quantum mechanics , artificial intelligence , agronomy , biology , operating system
Summary The concept of discrete higher‐order sliding mode has received increased attention in the recent literature. This paper presents an optimal discrete higher‐order sliding mode control for an uncertain discrete LTI system using partial state information, which has been missing in literature. A new technique is proposed to design an optimal time‐varying higher‐order sliding surface and control input through the minimization of a quadratic performance index. Moreover, disturbance estimation technique is utilized to modify the control algorithm to reduce the width of the discrete higher‐order sliding mode band. The proposed algorithm is experimentally validated on a rectilinear plant. Copyright © 2017 John Wiley & Sons, Ltd.