05949cam a2200613Ki 45000010014000000030008000140050017000220060019000390070015000580080041000730400031001140200035001450200032001800200035002120200032002470200049002790200046003280200043003740200040004170200018004570200015004750350060004900350024005500500021005740720025005950720025006200720025006450720017006700820016006871000030007032450074007332500019008072640040008262640011008663000056008773360026009333370026009593380036009855050599010215050581016205050591022015050575027925050604033675200971039715880047049426500020049896500023050096500038050326500048050707000026051188560072051448560102052169990017053189780429323454FlBoTFG20260210180735.0m     o  d        cr cnu---unuuu200831t20212021flua    ob    001 0 eng d  aOCoLC-PbengerdacOCoLC-P  a9781000204315qelectronic book  a1000204316qelectronic book  a9780429323454qelectronic book  a042932345Xqelectronic book  a9781000204322q(electronic bk. : Mobipocket)  a1000204324q(electronic bk. : Mobipocket)  a9781000204339q(electronic bk. : EPUB)  a1000204332q(electronic bk. : EPUB)  z9780367340148  z0367340143  a(OCoLC)1191243045z(OCoLC)1195825611z(OCoLC)1196191611  a(OCoLC-P)1191243045 4aQA402b.T49 2021 7aTECx0070002bisacsh 7aTECx0090002bisacsh 7aTECx0310202bisacsh 7aTHRB2bicssc04a003/.742231 aThyagarajan, T.,eauthor.10aLinear and non-linear system theory /cT. Thyagarajan and D. Kalpana.  aFirst edition. 1aBoca Raton, FL :bCRC Press,c2021. 4c©2021  a1 online resource (xix, 414 pages) :billustrations  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier0 aCover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Acknowledgements -- Authors -- 1 Introduction -- Determinants -- Second-Order Determinant -- Third-Order Determinant -- Minor -- Cofactor -- Properties of Determinants -- Matrices -- Definition -- Order of a Matrix -- Row Matrix -- Column Matrix -- Square Matrix -- Null Matrix -- Principle Diagonal -- Diagonal Matrix -- Unit Matrix or Identity Matrix -- Scalar Matrix -- Upper Triangular Matrix -- Lower Triangular Matrix -- Transpose of a Matrix -- Symmetric Matrix -- Skew Symmetric Matrix8 aSingular Matrix -- Adjoint of a Matrix -- Inverse of a Matrix -- Equality of Matrix -- Addition of Matrices -- Subtraction of Matrices -- Multiplication of Matrices -- Conjugate of a Matrix -- Hermitian Matrix -- Skew Hermitian Matrix -- Rank of a Matrix -- Definition of Transfer Function -- Limitations of Transfer Function Approach -- Introduction to State Space Analysis -- Input and Output Variables -- State Model -- Review of State Models -- Non-Uniqueness of State Model -- 2 State Space Approach -- Role of Eigen Values and Eigen Vectors -- How to Find Eigen Vectors?8 aFree and Forced Responses -- Properties of State Transition Matrix -- Evaluation of State Transition Matrix -- Minimal Realization -- Minimal Realization Using Transfer Function Matrix -- Non-Minimal Realization -- Non-Minimal Realization Using Transfer Function Matrix -- Balanced Realization -- 3 State Feedback Control and State Estimator -- Concept of Controllability and Observability -- Controllability -- a) State Controllability -- Condition for Complete State Controllability in the s-Plane -- Output Controllability -- Uncontrollable System -- Stabilizability -- Observability8 aComplete Observability -- Condition for Complete Observability in the s-Plane -- Detectability -- Kalman's Tests for Controllability and Observability -- State Space Representation in Canonical Forms -- Controllable Canonical Form -- Observable Canonical Form -- Diagonal Canonical Form -- Jordan Canonical Form -- State Feedback Control (Pole Placement Technique) -- Determination of State Feedback Gain Matrix (K(f)) -- State Observers -- Full-Order State Observers -- Reduced-Order State Observers -- Minimum-Order State Observers -- Mathematical Model of an Observer8 aDetermination of State Observer Gain Matrix (K(0)) -- 4 Non-Linear Systems and Phase Plane Analysis -- Characteristics of Non-Linear Systems -- Jump Resonance -- Types of Nonlinearities -- Saturation -- Deadzone -- Backlash -- Friction -- Describing Function Fundamentals -- Describing Function of Deadzone -- Describing Function of Saturation Nonlinearity -- Describing Function of Deadzone and Saturation -- Describing Function of On-Off Controller with a Deadzone -- Describing Function of Backlash Nonlinearity -- Describing Function of Relay with Deadzone and Hysteresis -- Phase Plane Analysis  aLinear and Non-Linear System Theory focuses on the basics of linear and non-linear systems, optimal control and optimal estimation with an objective to understand the basics of state space approach linear and non-linear systems and its analysis thereof. Divided into eight chapters, materials cover an introduction to the advanced topics in the field of linear and non-linear systems, optimal control and estimation supported by mathematical tools, detailed case studies and numerical and exercise problems. This book is aimed at senior undergraduate and graduate students in electrical, instrumentation, electronics, chemical, control engineering and other allied branches of engineering. Features Covers both linear and non-linear system theory Explores state feedback control and state estimator concepts Discusses non-linear systems and phase plane analysis Includes non-linear system stability and bifurcation behaviour Elaborates optimal control and estimation  aOCLC-licensed vendor bibliographic record. 0aLinear systems. 0aNonlinear systems. 7aTECHNOLOGY / Electricity2bisacsh 7aTECHNOLOGY / Engineering / General2bisacsh1 aKalpana, D.,eauthor.403Taylor & Francisuhttps://www.taylorfrancis.com/books/9780429323454423OCLC metadata license agreementuhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf  c89935d89934