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Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies. Here in this highly useful reference is the finest overview of automatic control systems / robotics currently available, with hundreds of control systems / robotics problems that cover everything from modeling and matrices to system stability and nonlinear systems. Each problem is clearly solved with step-by-step detailed solutions. DETAILS - The PROBLEM SOLVERS are unique - the ultimate in study guides. - They are ideal for helping students cope with the toughest subjects. - They greatly simplify study and learning tasks. - They enable students to come to grips with difficult problems by showing them the way, step-by-step, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding. - They cover material ranging from the elementary to the advanced in each subject. - They work exceptionally well with any text in its field. - PROBLEM SOLVERS are available in 41 subjects. - Each PROBLEM SOLVER is prepared by supremely knowledgeable experts. - Most are over 1000 pages. - PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent index helps to locate specific problems rapidly. - Educators consider the PROBLEM SOLVERS the most effective and valuable study aids; students describe them as "fantastic" - the best books on the market. TABLE OF CONTENTS Introduction Chapter 1: Modeling Block Diagram Transfer Function Chapter 2: Matrices Rank, Analysis of Inverse Matrices Eigenvectors and Diagonalization Chapter 3: Laplace Transforms Laplace Transforms and Theorems Inverse Laplace Transforms and Solutions of Differential Equations Chapter 4: Z-Transforms Z-transforms and Theorems Inverse Z-transforms and Response of Systems Chapter 5: Transfer Function and Block Diagrams Transfer Functions from Block Diagrams Transfer Functions of Networks and Systems The Transfer Matrix and Pulse Transfer Function Chapter 6: Time Analysis Response Response - Discrete Response - Error Chapter 7: Frequency Analysis, Nyquist Diagram, Root Locus, Bode Diagram Nyquist Diagram Root Locus Bode Diagram Frequency Response Chapter 8: Design and Compensation Design Frequency Response Bilinear Transform Compensation Lag Compensation, Root Locus Controller Compensator, Observer Root Locus Chapter 9: State Space Representation State Space Representation of Transfer Functions Transformation of Differential Equations into State Space Representation State Space Representation from Block Diagrams and Difference Equations State Space Representation of Electrical and Mechanical Systems Chapter 10: State Transition Matrix Methods of Determining the State Transition Matrix State Transition Matrix of Systems Chapter 11: Solutions to State Equations Chapter 12: Controllability and Observability Chapter 13: Automatic Control Stability Routh and Herwits Critera Krasovskii Theorem Liapunov Function Different Kinds of Stability-Jury Test Discrete Systems Phase Plane Root Locus Nyquist Bode Chapter 14: Phase Plane Analysis Initial Conditions Method of Isoclines Application to Networks and Systems