Introductory Finite Difference Methods for PDEs

EBook Description: This book presents finite difference methods for solving partial differential equations (PDEs) and also general concepts like stability, boundary conditions etc. Material is in order of increasing complexity (from elliptic PDEs to hyperbolic systems) with related theory included in appendices. Each chapter has written and computer exercises with web links to worked solutions, programs, A/V presentations and case studies. Emphasis is on the practical and students are encouraged to do numerical experiments. This book is intended for undergraduates who know Calculus and introductory programming.

The book is concerned with the effects of nonlinearity in feedback control systems and techniques which can be used to design feedback loops containing nonlinear elements. After a short introductory chapter on nonlinearity and its possible effects the use of phase plane methods for nonlinear second order systems is discussed. The next three chapters cover the describing function method and its applications in the determination of limit cycles, stability analysis and the prediction of unique nonlinear behaviour such as jump resonance and subharmonic generation. The following chapter shows using the Tsypkin approach how in feedback loops with a relay nonlinearity any limit cycles and their stability can be found exactly. Examples are given which cover some unique forms of limit cycles such as limit cycles with a sliding mode and multipulse limit cycles, which can be caused by resonant plant transfer functions. In recent years with the advent of microprocessor controllers there has been considerable interest in techniques for controller tuning based on limit cycle data and this is the topic covered in the next chapter. The analyses used make use of both the describing function method and the Tsypkin method presented in the previous chapters. The next topic covered is absolute stability methods for a nonlinear feedback loop with a single nonlinearity with emphasis placed on frequency domain methods to allow comparison with describing function results. The final chapter covers some methods for the design of nonlinear systems. The material is of an introductory nature but hopefully gives an overview and provides a basic understanding of various topics, many developed in recent years, and several of which have entire textbooks devoted to them.

Intro to Computer Based Control Systems

This book introduces the concepts of hardware, software, and communication aspects of computer aided measurement and control systems and discusses techno-commercial benefits of such systems for its application in process industries.

Electric Drive Systems and Operation

This book is intended primarily for the secondary-level and university-level learners of an electromechanical profile, including the bachelor and master students majored in electrical engineering and mechatronics. It will help also technicians and engineers of respective specialities.

If you have completed the basics of electricity, electronics, mechanics, and computer science, the book will guide you in appreciation of applications built on the basis of electrical motors. In addition, you will know many electromechanical products and determine their important differences.

• Free IAS eBooks
• Free GRE eBooks
• Free MBA eBooks
• Free GATE eBooks