Modern Control Engineering

(NOTE: Each chapter begins with Introduction and concludes with Example Problems and Solutions and Problems.)

1. Introduction to Control Systems.


Examples of Control Systems. Closed-Loop Control versus Open-Loop Control. Outline of the Book.



2. The Laplace Transform.


Review of Complex Variables and Complex Functions. Laplace Transformation. Laplace Transform Theorems. Inverse Laplace Transformation. Partial-Fraction Expansion with MATLAB. Solving Linear, Time-Invariant, Differential Equations.



3. Mathematical Modeling of Dynamic Systems.


Transfer Function and Impulse-Response Function. Automatic Control Systems. Modeling in State Space. State-Space Representation of Dynamic Systems. Transformation of Mathematical Models with MATLAB. Mechanical Systems. Electrical and Electronic Systems. Signal Flow Graphs. Linearization of Nonlinear Mathematical Models.



4. Mathematical Modeling of Fluid Systems and Thermal Systems.


Liquid-Level Systems. Pneumatic Systems. Hydraulic Systems. Thermal Systems.



5. Transient and Steady-State Response Analyses.


First-Order Systems. Second-Order Systems. Higher-Order Systems. Transient-Response Analysis with MATLAB. An Example Problem Solved with MATLAB. Routh's Stability Criterion. Effects of Integral and Derivative Control Actions on System Performance. Steady-State Errors in Unity-Feedback Control Systems.



6. Root-Locus Analysis.


Root-Locus Plots. Summary of General Rules for Constructing Root Loci. Root-Locus Plots with MATLAB. Positive-Feedback Systems. Conditionally Stable Systems. Root Loci for Systems with Transport Lag.



7. Control Systems Design by the Root-Locus Method.


Preliminary Design Considerations. Lead Compensation. Lag Compensation. Lag-Lead Compensation. Parallel Compensation.



8. Frequency-Response Analysis.


Bode Diagrams. Plotting Bode Diagrams with MATLAB. Polar Plots. Drawing Nyquist Plots with MATLAB. Log-Magnitude-versus-Phase Plots. Nyquist Stability Criterion. Stability Analysis. Relative Stability. Closed-Loop Frequency Response of Unity-Feedback Systems. Experimental Determination of Transfer Functions.



9. Control Systems Design by Frequency Response.


Lead Compensation. Lag Compensation. Lag-Lead Compensation. Concluding Comments.



10. PID Controls and Two-Degrees-of-Freedom Control Systems.


Tuning Rules for PID Controllers. Computational Approach to Obtain Optimal Sets of Parameter Values. Modifications of PID Control Schemes. Two-Degrees-of-Freedom Control. Zero-Placement Approach to Improve Response Characteristics.



11. Analysis of Control Systems in State Space.


State-Space Representations of Transfer-Function Systems. Transformation of System Models with MATLAB. Solving the Time-Invariant State Equation. Some Useful Results in Vector-Matrix Analysis. Controllability. Observability.



12. Design of Control Systems in State Space.


Pole Placement. Solving Pole-Placement Problems with MATLAB. Design of Servo Systems. State Observers. Design of Regulator Systems with Observers. Design of Control Systems with Observers. Quadratic Optimal Regulator Systems.



References.


Index.