Bijnan Bandyopadhyay's Books

Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach

By: Bijnan Bandyopadhyay,Shyam Kamal

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Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach

By: Bijnan Bandyopadhyay,Shyam Kamal

In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregularities inside the systems by using more sophisticated mathematical analysis. This monograph is based on the authors’ work on stabilization and control design for continuous and discrete fractional order systems. The initial two chapters and some parts of the third chapter are written in tutorial fashion, presenting all the basic concepts of fractional order system and a brief overview of sliding mode control of fractional order systems. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, co-operative control of multi-agent systems modeled as fractional differential equation, robust stabilization of discrete fractional order systems, high performance control using soft variable structure control and contraction analysis by integer and fractional order infinitesimal variations.

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Page Count

226

Publisher

Springer

Published Date

ISBN 10

3319086219

ISBN 13

9783319086217

Frequency-Shaped and Observer-Based Discrete-time Sliding Mode Control

By: Axaykumar Mehta,Bijnan Bandyopadhyay

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Frequency-Shaped and Observer-Based Discrete-time Sliding Mode Control

By: Axaykumar Mehta,Bijnan Bandyopadhyay

It is well established that the sliding mode control strategy provides an effective and robust method of controlling the deterministic system due to its well-known invariance property to a class of bounded disturbance and parameter variations. Advances in microcomputer technologies have made digital control increasingly popular among the researchers worldwide. And that led to the study of discrete-time sliding mode control design and its implementation. This brief presents, a method for multi-rate frequency shaped sliding mode controller design based on switching and non-switching type of reaching law. In this approach, the frequency dependent compensator dynamics are introduced through a frequency-shaped sliding surface by assigning frequency dependent weighing matrices in a linear quadratic regulator (LQR) design procedure. In this way, the undesired high frequency dynamics or certain frequency disturbance can be eliminated. The states are implicitly obtained by measuring the output at a faster rate than the control. It is also known that the vibration control of smart structure is a challenging problem as it has several vibratory modes. So, the frequency shaping approach is used to suppress the frequency dynamics excited during sliding mode in smart structure. The frequency content of the optimal sliding mode is shaped by using a frequency dependent compensator, such that a higher gain can be obtained at the resonance frequencies. The brief discusses the design methods of the controllers based on the proposed approach for the vibration suppression of the intelligent structure. The brief also presents a design of discrete-time reduced order observer using the duality to discrete-time sliding surface design. First, the duality between the coefficients of the discrete-time reduced order observer and the sliding surface design is established and then, the design method for the observer using Riccati equation is explained. Using the proposed method, the observer for the Power System Stabilizer (PSS) for Single Machine Infinite Bus (SMIB) system is designed and the simulation is carried out using the observed states. The discrete-time sliding mode controller based on the proposed reduced order observer design method is also obtained for a laboratory experimental servo system and verified with the experimental results.

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Page Count

108

Publisher

Springer

Published Date

ISBN 10

8132222385

ISBN 13

9788132222385

Event-Triggered Sliding Mode Control

A New Approach to Control System Design

By: Bijnan Bandyopadhyay,Abhisek K. Behera

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Event-Triggered Sliding Mode Control

A New Approach to Control System Design

By: Bijnan Bandyopadhyay,Abhisek K. Behera

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.

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Page Count

139

Publisher

Springer

Published Date

ISBN 10

3319742191

ISBN 13

9783319742199

Book's by Bijnan Bandyopadhyay

Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach

Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach

Frequency-Shaped and Observer-Based Discrete-time Sliding Mode Control

Frequency-Shaped and Observer-Based Discrete-time Sliding Mode Control

Event-Triggered Sliding Mode Control

Event-Triggered Sliding Mode Control

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