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

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...

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Main Author: Sharma, Nalin Kumar,
Other Authors: Sivaramakrishnan, Janardhanan,, SpringerLink (Online service)
Format: eBook
Language: English
Published: Cham : Springer, [2018]
Physical Description: 1 online resource : illustrations.
Subjects:
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100 1 |a Sharma, Nalin Kumar,  |e author. 
245 1 0 |a Discrete-time higher order sliding mode :  |b the concept and the control /  |c Nalin Kumar Sharma, Janardhanan Sivaramakrishnan. 
264 1 |a Cham :  |b Springer,  |c [2018] 
264 4 |c ©2019. 
300 |a 1 online resource :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent. 
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588 0 |a Online resource; title from PDF title page (EBSCO, viewed September 19, 2018). 
504 |a Includes bibliographical references and index. 
520 |a 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. 
505 0 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
650 0 |a Discrete-time systems. 
650 0 |a Sliding mode control. 
650 6 |a Systèmes échantillonnés. 
650 6 |a Commande par modes glissants. 
650 7 |a Maths for engineers.  |2 bicssc. 
650 7 |a Calculus of variations.  |2 bicssc. 
650 7 |a Automatic control engineering.  |2 bicssc. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh. 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh. 
650 7 |a Discrete-time systems.  |2 fast. 
650 7 |a Sliding mode control.  |2 fast. 
700 1 |a Sivaramakrishnan, Janardhanan,  |e author. 
710 2 |a SpringerLink (Online service) 
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