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A Relaxation Based Approach To Optimal Control Of Hybrid And Switched Systems

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A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems

A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems Book
Author : Vadim Azhmyakov
Publisher : Butterworth-Heinemann
Release : 2019-02-14
ISBN : 012814789X
Language : En, Es, Fr & De

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Book Description :

A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems proposes a unified approach to effective and numerically tractable relaxation schemes for optimal control problems of hybrid and switched systems. The book gives an overview of the existing (conventional and newly developed) relaxation techniques associated with the conventional systems described by ordinary differential equations. Next, it constructs a self-contained relaxation theory for optimal control processes governed by various types (sub-classes) of general hybrid and switched systems. It contains all mathematical tools necessary for an adequate understanding and using of the sophisticated relaxation techniques. In addition, readers will find many practically oriented optimal control problems related to the new class of dynamic systems. All in all, the book follows engineering and numerical concepts. However, it can also be considered as a mathematical compendium that contains the necessary formal results and important algorithms related to the modern relaxation theory. Illustrates the use of the relaxation approaches in engineering optimization Presents application of the relaxation methods in computational schemes for a numerical treatment of the sophisticated hybrid/switched optimal control problems Offers a rigorous and self-contained mathematical tool for an adequate understanding and practical use of the relaxation techniques Presents an extension of the relaxation methodology to the new class of applied dynamic systems, namely, to hybrid and switched control systems

Hybrid Systems Computation and Control

Hybrid Systems  Computation and Control Book
Author : Magnus Egerstedt,Bud Mishra
Publisher : Springer
Release : 2008-07-18
ISBN : 3540789294
Language : En, Es, Fr & De

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Book Description :

This volume contains the proceedings ofthe 11th Workshop on Hybrid Systems: Computation and Control (HSCC 2008) held in St. Louis, Missouriduring April 22–24,2008.The annual workshop on hybrid systems focuses on researchin - bedded,reactivesystemsinvolvingtheinterplaybetweensymbolic/switchingand continuous dynamical behaviors. HSCC attracts academic as well as industrial researchers to exchange information on the latest developments of applications and theoretical advancements in the design, analysis, control, optimization, and implementation of hybrid systems, with particular attention to embedded and networked control systems. New for this year was that HSCC was part of the inaugural CPSWEEK (Cyber-Physical Systems Week) – a co-located cluster of three conferences: HSCC, RTAS (Real-Time and Embedded Technology and Applications Sym- sium), and IPSN (International Conference on Information Processing in Sensor Networks). The previous workshops in the series of HSCC were held in Berkeley, USA (1998),Nijmegen,TheNetherlands(1999),Pittsburgh,USA(2000),Rome,Italy (2001), Palo Alto, USA (2002), Prague, Czech Republic (2003), Philadelphia, USA (2004),Zurich, Switzerland (2005) , Santa Barbara,USA (2006), and Pisa, Italy (2007). We would like to thank the Program Committee members and the reviewers for an excellent job of evaluating the submissions and participating in the online Program Committee discussions. We are grateful to the Steering Committee for their helpful guidance and support. We would also like to thank Patrick Martin for putting together these proceedings, and Jiuguang Wang for developing and maintaining the HSCC 2008 website. January 2008 Magnus Egerstedt Bud Mishra Organization HSCC 2008 was technically co-sponsored by the IEEE Control Systems Society and organized in cooperation with ACM/SIGBED.

Hybrid Systems Computation and Control

Hybrid Systems   Computation and Control Book
Author : Anonim
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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International Aerospace Abstracts

International Aerospace Abstracts Book
Author : Anonim
Publisher : Unknown
Release : 1999
ISBN : 0987650XXX
Language : En, Es, Fr & De

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SIAM Journal on Control and Optimization

SIAM Journal on Control and Optimization Book
Author : Society for Industrial and Applied Mathematics
Publisher : Unknown
Release : 2009
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Dissertation Abstracts International

Dissertation Abstracts International Book
Author : Anonim
Publisher : Unknown
Release : 2008
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Applied Science Technology Index

Applied Science   Technology Index Book
Author : Anonim
Publisher : Unknown
Release : 2000
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Operations Research

Operations Research Book
Author : Anonim
Publisher : Unknown
Release : 1990
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Index to IEEE Publications

Index to IEEE Publications Book
Author : Institute of Electrical and Electronics Engineers
Publisher : Unknown
Release : 1998
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Issues for 1973- cover the entire IEEE technical literature.

Computer Control Abstracts

Computer   Control Abstracts Book
Author : Anonim
Publisher : Unknown
Release : 1996
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Mathematical Reviews

Mathematical Reviews Book
Author : Anonim
Publisher : Unknown
Release : 2008
ISBN : 0987650XXX
Language : En, Es, Fr & De

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The Graduate School

The Graduate School Book
Author : University of Colorado (Boulder campus). Graduate School
Publisher : Unknown
Release : 1970
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Control Abstracts

Control Abstracts Book
Author : Anonim
Publisher : Unknown
Release : 1966
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Proceedings of the Annual Conference of the IEEE Industrial Electronics Society

Proceedings of the     Annual Conference of the IEEE Industrial Electronics Society Book
Author : IEEE Industrial Electronics Society. Conference
Publisher : Unknown
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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BTL Talks and Papers

BTL Talks and Papers Book
Author : Bell Telephone Laboratories, inc. Technical Information Libraries
Publisher : Unknown
Release : 1979
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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American Doctoral Dissertations

American Doctoral Dissertations Book
Author : Anonim
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Two Level Dynamic Quantizers for Feedback Control Systems

Two Level Dynamic Quantizers for Feedback Control Systems Book
Author : Dhafer J. Almakhles
Publisher : Unknown
Release : 2016
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The two-level quantized control systems which inherently involve switching signals (i.e., two-level discrete set {0;1} or ON/OFF), are one of the actively studied topics in control system. Switching signals are extensively being used in various types of control systems, such as on-off control systems, sliding mode control systems, hybrid systems, etc. This is due in part to the simple switching functions (SFs) that are embedded in these systems, such as relay, pulse-width-modulator (PWM), switch mode power supply (SMPS), delta modulators (D-M), delta-sigma modulators (DS-M) and sliding mode modulators. As a result, switching signals can be used to drive power convertor or ON/OFF actuators, analog-todigital converter (ADC) and switches (multiplexers) in single-bit signal processing and single-bit control system. These switching signals are also being used as triggers for the event-triggered control systems. To partially overcome the limitations of the communication constraint, packets of single-bit replace packets of multi-bits as the transmitted information through communication-channels in networked control systems (NCSs). This thesis proposes a novel approach of designing switching functions using hybrid delta modulator (DH-M) and investigates the stability and performance of switch-based control systems (SBCS) which are embedded with D-M, DS-M and the proposed DH-M. The central component in switched based control systems are either D-M, DS-M or the proposed DHM, which are often regarded as dynamic quantizers. Therefore, before designing controllers for SBCS, the stability and performance analysis of SFs based on these three different modulators are investigated using the theory of sliding mode. It has been shown that the stability and hitting time of these SFs are critically dependent on the choice of the quantizer gain. Next, the stability and performance of a single-bit control system, which is embedded with a DS- M, are investigated. The DS-M essentially acts as a two-level dynamic quantizer. It is proved that under ideal sliding condition, the quantized feedback control system is equivalent to the original control system on the sliding manifold. The optimum gain of the quantizer, which ensures stability and gives better performance, is derived. The effectiveness of the single-bit control system with the optimal quantizer is demonstrated using the experimental prototype of a dc servomechanism by designing single-bit PID controller. The experimental results illustrate that the single-bit controller gives identical performance to a traditional controller and effectively controls the system while consuming less information rate (channel interfaces) and hardware resources. Since the SFs can be used as single-bit encoders/decoders, they can be embedded in the NCS to relax communication constraints. The stability and performance of control systems using all the three modulators ( i.e., D-M, DS-M and DH-M) are derived analytically and their performance is investigated from the perspective of NCS both through simulations and experiments. It has been shown that, for a given sampling interval, the proposed hybrid DH-M effectively attenuates the chattering compared to the conventional D-M and DS-M. Finally, this thesis investigates the use of SF based sliding mode modulator in general SBCS where signals can be converted to their equivalent switching signals. The condition which guarantees the stability of SBCS is established in both continuous-time and discrete-time domains. The standard assumption of infinite sampling of the switch component in stable continuous-time SF (CT-SF) guarantees the equivalence condition between the converted signals and switching signals. However, the inherited delay in the discrete-time SF (DT-SF), which is induced by the finite sampling frequency, adds more constraint to the convergence rate and adversely affects the equivalence condition. Thus, unlike CT-SF, the existence of quasi-sliding mode in DT-SF does not necessarily guarantee the equivalence condition between the converted signals (inputs) and switching outputs. We show that only DT-SF with zero convergence rate can be used for the mapping purpose in discrete-time SBCS (DT-SBCS). The feasibility and effectiveness of the DT-SBCS is demonstrated experimentally using an example of servomechanism with GPI controller. The simulation and results of experiments reported in the thesis use Matlab/Simulink and Quartus II. The synthesized VHDL codes are used to program FPGA (Altera DE2-115). The performance of all the controllers and SFs are demonstrated using an experimental prototype of DC servomechanism. Both simulation and experimental results are used to analyze the effects of using such SFs on control system stability, performances, information rate (channel interfaces) and hardware resources.

Documentation Abstracts

Documentation Abstracts Book
Author : Anonim
Publisher : Unknown
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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CAD CAM Abstracts

CAD CAM Abstracts Book
Author : Anonim
Publisher : Unknown
Release : 1989
ISBN : 0987650XXX
Language : En, Es, Fr & De

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