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Discrete-time higher order sliding mode : the concept and the control

Author: Nalin Kumar Sharma; Janardhanan Sivaramakrishnan
Publisher: Cham : Springer, [2018] ©2019
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Sharma, Nalin Kumar.
Discrete-time higher order sliding mode.
Cham : Springer, [2018]
(OCoLC)1047626240
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Nalin Kumar Sharma; Janardhanan Sivaramakrishnan
ISBN: 9783030001728 3030001725
OCLC Number: 1052566391
Description: 1 online resource : illustrations
Contents: 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 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 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 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
Responsibility: Nalin Kumar Sharma, Janardhanan Sivaramakrishnan.

Abstract:

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.  Read more...

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