Modern Control Engineering
This comprehensive treatment of the continuous-time control systems provides a gradual development of control theory - and shows how to solve all computational problems with MATLAB. It avoids highly mathematical arguments, and features an abundance of examples and worked problems throughout. This edition reorganizes content to cover all basic materials of control systems in the first ten chapters, leaving advanced topics to the last. It provides detailed explanations on how to write MATLAB programs to solve a variety of problems in control engineering, expands coverage of the design aspects of control engineering with many new design problems; adds an introduction to robust control; and includes many new computational problems - all solved with MATLAB.
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The Laplace Transform
Mathematical Modeling of Dynamic Systems
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assume asymptotes asymptotically stable block diagram Bode diagram characteristic equation characteristic polynomial closed-loop system closed-loop transfer function coefficients command compensated system completely state controllable Consider the system control action control system corner frequency damping ratio desired determined dominant closed-loop poles eigenvalues example frequency-response gain crossover frequency gain margin Gc(s given by Equation Hence initial conditions integral inverse Laplace transform lag-lead compensator last equation lead compensator Liapunov linear locus log-magnitude magnitude magnitude condition MATLAB Program maximum overshoot minimal polynomial nonlinear Note Nyquist plot Nyquist stability criterion obtain open-loop control open-loop poles open-loop transfer function output phase angle phase margin PID controller pneumatic polar plot rad/sec real axis root loci root-locus plot shown in Figure signal sinusoidal Solution steady-state error system defined system shown theorem transient response uncompensated unit-ramp response unit-step response curve valve variables vector versus zero