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

Nonfiction, Science & Nature, Technology, Automation, Engineering, Mechanical
Cover of the book Frequency-Shaped and Observer-Based Discrete-time Sliding Mode Control by Axaykumar Mehta, Bijnan Bandyopadhyay, Springer India
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Axaykumar Mehta, Bijnan Bandyopadhyay ISBN: 9788132222385
Publisher: Springer India Publication: January 5, 2015
Imprint: Springer Language: English
Author: Axaykumar Mehta, Bijnan Bandyopadhyay
ISBN: 9788132222385
Publisher: Springer India
Publication: January 5, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer India

Cover of the book Convergence Methods for Double Sequences and Applications by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Biomedical Applications of Natural Proteins by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Basics of Marine and Estuarine Ecology by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Agroforestry Systems in India: Livelihood Security & Ecosystem Services by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Enzymatic Transformation by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Human Capital and Development by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Intelligent Computing and Applications by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Heat Stress and Animal Productivity by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Analytical Issues in Trade, Development and Finance by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Phenomics in Crop Plants: Trends, Options and Limitations by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Evaluation of Gastrointestinal Motility and its Disorders by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Fundamentals of Bias Temperature Instability in MOS Transistors by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Green Investing by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Tagore and Nationalism by Axaykumar Mehta, Bijnan Bandyopadhyay
Cover of the book Introduction to Micromechanisms and Microactuators by Axaykumar Mehta, Bijnan Bandyopadhyay
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy