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...
| Main Author: | Sharma, Nalin Kumar, |
|---|---|
| Other Authors: | Sivaramakrishnan, Janardhanan,, SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer,
[2018]
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| Physical Description: |
1 online resource : illustrations. |
| Subjects: |
Table of 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.