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BL
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| Record Number
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859106
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| Main Entry
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Sharma, Nalin Kumar
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| Title & Author
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Discrete-time higher order sliding mode : : the concept and the control /\ Nalin Kumar Sharma, Janardhanan Sivaramakrishnan.
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| Publication Statement
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Cham :: Springer,, [2018]
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, ©2019
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| Page. NO
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1 online resource :: illustrations
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| ISBN
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3030001725
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: 9783030001728
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3030001717
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9783030001711
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Intro; Preface; Motivation; Organization; Acknowledgements; Contents; Acronyms; 1 Preliminaries; 1.1 Sliding Mode; 1.2 Higher Order Sliding Mode; 1.3 Discrete-Time Sliding Mode; References; 2 Discrete-Time Higher Order Sliding Mode; 2.1 Introduction; 2.2 Discrete-Time Higher Order Sliding Mode; 2.3 Discrete-Time Higher Order Slding Mode Control Design for an LTI System; 2.3.1 Design of Discrete-Time Second-Order Sliding Mode Control in the Absence of Disturbance; 2.3.2 Design of Discrete-Time Second-Order Sliding Mode Control in the Presence of Disturbance
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2.4 Numerical and Experimental Validation2.4.1 Description of the Experimental Setup; 2.4.2 Simulation Results; 2.4.3 Experimental Results; 2.5 Performance Comparison; 2.5.1 Sensitivity Analysis; 2.5.2 (p, qr)-continuity; 2.6 Conclusion; References; 3 Optimal Discrete-Time Higher Order Sliding Mode; 3.1 Introduction; 3.2 Problem Formulation; 3.3 Optimal DHOSM Control Design; 3.3.1 Optimal DHOSM Control Design in Absence of Disturbance in the System; 3.3.2 Optimal DHOSM Control Design in the Presence of Disturbance in the System; 3.4 Stability Analysis
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3.5 Numerical and Experimental Validation3.5.1 Simulation Results; 3.5.2 Experimental Results; 3.6 Conclusion; References; 4 Discrete-Time Higher Order Sliding Mode Control of Unmatched Uncertain Systems; 4.1 Introduction; 4.2 Problem Formulation; 4.3 Control Design; 4.3.1 Equivalent Control Design; 4.3.2 Switching Control Design; 4.4 Disturbance Forecasting; 4.5 Stability Analysis; 4.6 Numerical and Experimental Validation; 4.6.1 Simulation Results; 4.6.2 Experimental Results; 4.7 Conclusion; References; 5 Adaptive Discrete-Time Higher Order Sliding Mode; 5.1 Introduction
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5.2 DHOSM with Adaptive Switching Gains5.2.1 Proof of Boundedness of the Adaptive Gain; 5.3 Simulation Example; 5.4 Conclusion; References; 6 Stochastic Discrete-Time Higher Order Sliding Mode; 6.1 Introduction; 6.2 Stochastic Discrete-Time Higher Order Sliding Mode; 6.3 Problem Formulation; 6.4 Stochastic DHOSM Controller; 6.4.1 Convergence Analysis; 6.4.2 Controller Design; 6.4.3 Stability and Covariance Analysis; 6.5 Simulation Results; 6.6 Conclusion; References; Index
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| Abstract
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This monograph investigates the existence of higher order sliding mode in discrete-time systems and propounds a new concept of discrete-time higher order sliding mode. The authors propose a definition of discrete-time higher order sliding mode and a control law is designed by means of a concept for an uncertain linear-time invariant system, as well as the behavior of the closed-loop system is analyzed. Moreover, the book includes a thorough treatment of the probabilistic and non-deterministic case, i.e. stochastic discrete-time higher order sliding mode. The target audience primarily comprises research experts in control theory but the book may also be beneficial for graduate students alike.
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| Subject
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Discrete-time systems.
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| Subject
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Sliding mode control.
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Automatic control engineering.
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Calculus of variations.
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Discrete-time systems.
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MATHEMATICS-- Calculus.
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MATHEMATICS-- Mathematical Analysis.
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Maths for engineers.
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| Subject
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Sliding mode control.
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| Dewey Classification
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515/.642
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| LC Classification
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QA402.3
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| Added Entry
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Sivaramakrishnan, Janardhanan
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