Optimal discrete higher‐order sliding mode control of uncertain LTI systems with partial state information |
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Authors: | Nalin Kumar Sharma Sivaramakrishnan Janardhanan |
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Affiliation: | Department of Electrical EngineeringIndian, Indian Institute of Technology Delhi, New Delhi, India |
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Abstract: | 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. |
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Keywords: | discrete higher‐order sliding mode discrete‐time systems optimal control uncertain system with partial state information |
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