Skip to main content

Über dieses Buch

This edited monograph provides a comprehensive and in-depth analysis of sliding mode control, focusing on event-triggered implementation. The technique allows to prefix the steady-state bounds of the system, and this is independent of any boundary disturbances. The idea of event-triggered SMC is developed for both single input / single output and multi-input / multi-output linear systems. Moreover, the reader learns how to apply this method to nonlinear systems. The book primarily addresses research experts in the field of sliding mode control, but the book may also be beneficial for graduate students.



Chapter 1. Introduction

This chapter briefly introduces the readers to the preliminary ideas on design and analysis of computer-controlled systems and then sliding mode control (SMC). In general, computer-controlled systems consist of both continuous and discrete-time systems that interact among themselves through the feedback channel to achieve certain objectives. Different available classical techniques, namely emulation, discrete-time, and hybrid approaches, are summarized here with their own advantages and disadvantages. In almost all these techniques, the periodic sampling interval is often used to design and analyse the sampled-data systems for its simplicity and easier in design. On the other hand, aperiodic control implementation is desired in sampled-data systems to reduce the periodic computational burden and cost associated with the implementation. However, this introduces few difficulties in analysing closed loop system stability.
Bijnan Bandyopadhyay, Abhisek K. Behera

Chapter 2. Event-Triggered Sliding Mode Control for Linear Systems

SMC is a robust control technique that ensures the robust (insensitive) stabilization of the system against (matched) disturbance. This property holds when it is designed and implemented in continuous-time domain. On the other hand, in digital implementation of SMC the system trajectory slides in the vicinity of sliding manifold. Many techniques and design methodologies have appeared in the literature for reducing the sliding band and improving the accuracy. Nevertheless, a significant improved performance can be obtained using some novel control implementation strategy, namely event-triggering technique.
Bijnan Bandyopadhyay, Abhisek K. Behera

Chapter 3. Event-Triggered Sliding Mode Control for Nonlinear Systems

In this chapter, event-triggered SMC for nonlinear systems is presented. Similar design approaches are used for nonlinear system like LTI systems in the earlier chapter. As a preliminary, first SMC is designed for continuous-time system that yields stable sliding motion. Then, this control is used in designing the event-triggered SMC for nonlinear systems. A sufficient condition for the stability and existence of practical sliding mode are also given. In practical applications, delays in control implementation are unavoidable that may the affect system performance. The event-triggering strategy is also developed by considering such delays into account.
Bijnan Bandyopadhyay, Abhisek K. Behera

Chapter 4. Self-Triggered Sliding Mode Control for Linear Systems

In the previous chapters, the event-triggered SMC strategy is discussed for linear and nonlinear systems. The event-triggering strategy is a novel control implementation technique where the control signal is updated to the plant at some aperiodic time instants generated by executing a stabilizing triggering rule. The triggering scheme continuously monitors the state evolution of the system and generates possible triggering instants.
Bijnan Bandyopadhyay, Abhisek K. Behera

Chapter 5. Discrete Event-Triggered Sliding Mode Control for Linear Systems

The event-triggering strategy has become a popular control implementation technique in these days. To realize this technique, the continuous state measurements are needed to generate the possible triggering instant. This may not be economical in practical applications due to the need of sophisticated sensors and for the computational burden.
Bijnan Bandyopadhyay, Abhisek K. Behera

Chapter 6. Event-Triggered Sliding Mode Control with Quantized State Measurements

Control with limited resources has been studied extensively since the last decade to optimize the system performance in terms of economic and practical constraints Brockett and Liberzon (IEEE Trans Autom Control 45:1279–1289, 2000 [8]), Elia and Mitter (IEEE Trans Autom Control 46:2458–2462, 2008 [9]). In many practical applications, the state measurements available at the controller end are quantized values and the control is designed based on these quantized measurements.
Bijnan Bandyopadhyay, Abhisek K. Behera


Weitere Informationen