Discontinuous Control Systems

1. Front Matter

   Pages i-xiv

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2. The locus of a perturbed relay system theory

   1. The servo problem in discontinuous control systems

      Pages 3-17

   2. The locus of a perturbed relay system (LPRS) theory

      Pages 19-55

   3. Input-output analysis of relay servo systems

      Pages 57-65

   4. Analysis of sliding modes in the frequency domain

      Pages 67-102

   5. Performance analysis of second-order SM control algorithms

      Pages 103-122

3. Applications of the locus of a perturbed relay system

   1. Relay pneumatic servomechanism design

      Pages 125-138

   2. Relay feedback test identification and autotuning

      Pages 139-152

   3. Performance analysis of the sliding mode—based analog differentiator and dynamical compensator

      Pages 153-165

   4. Analysis of sliding mode observers

      Pages 167-175

4. Back Matter

   Pages 177-212

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Discontinuous control systems are the oldest type of control system and the mostwidespreadtypeofnonlinearcontrolsystem. Thetheoryofdiscontinuous control, and the theory of relay feedback systems in particular, is usually c- sidered a mature subject. However, many problems in discontinuous control theory still remain open. One problem involves the input-output properties of these systems, knowledge of which is extremely important to every app- cation. Two types of discontinuous control systems are studied in this book. The ?rst is the so-called relay feedback system, which normally encompasses - lay servomechanisms, various on-o? controllers, sigma-delta modulators, relay feedback tests used for process dynamics identi?cation, and controller tuning. Relaysystemsareoftenconsideredthemaintypeofnonlinearsystem,whichis evident by the enormous amount of house temperature control systems (that are usually implemented as on-o? controllers) that exist. The theory of relay systems is an old subject. The problem of analysis of relay feedback systems was ?rst considered by L. MacColl in 1945 [71]; the study was motivated by thedevelopmentofrelayservomechanismsofmissilethrustersontheonehand and vibrational voltage regulators on the other. MacColl’s analysis was based on an approximate approach close to the describing function method. Later, exact methods of analysis of relay feedback systems were developed, the most well-known of which is the Tsypkin locus [94]. The exact approach developed by Tsypkin, however, did not consider the servo aspect of relay feedback c- trol. Its purpose was limited to ?nding periodic motions that may occur in a relay system in an autonomous mode or under external excitation.

• MATLAB
• algorithms
• closed-loop oscillations
• discontinuous systems
• electro-mechanical systems
• frequency domain
• input-output analysis
• linear optimization
• locus of a perturbed relay system
• nonideal closed-loop performance
• parasitic dynamics
• process control
• relay feedback
• servomechanism design
• sliding mode control

From the reviews:

“The purpose of this book is to present a new frequency domain theory of discontinuous control systems in which the control systems are viewed and studied as servo systems. … This book is primarily a research monograph, as it is devoted only to frequency domain theory of discontinuous control systems. … it also has many features of textbook, as the theory presented covers a relatively large classic nonlinear control area. The book, therefore, can be used by researcher, practitioners, and undergraduate and graduate students.” (Ion Bogdan, Iasi Polytechnic Magazine, Vol. 21 (1/4), March/December, 2009)

• Honeywell and University of Calgary, Calgary, Canada

  Igor Boiko

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