## Control System Problems: Formulas, Solutions, and Simulation ToolsUsing a practical approach that includes only necessary theoretical background, this book focuses on applied problems that motivate readers and help them understand the concepts of automatic control. The text covers servomechanisms, hydraulics, thermal control, mechanical systems, and electric circuits. It explains the modeling process, introduces the problem solution, and discusses derived results. Presented solutions are based directly on math formulas, which are provided in extensive tables throughout the text. This enables readers to develop the ability to quickly solve practical problems on control systems. |

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2O dB/dec Amplitude apply Laplace transform approximate asymptotes block diagram Bode diagram Bode plot breakaway points characteristic equation characteristic polynomial closed-loop system coefficients command complex Compute the transfer control system corner frequency damping ratio differential equation eigenvalues eigenvectors equations that describe error constant following figure frequency response gain margin graph Hence imaginary axis input signal loop transfer function magnitude curve MATLAB natural frequency Nyquist plot observe open-loop transfer function output Padé approximation parameters percent overshoot phase curve phase margin PID controller plot the RL position real axis relationship root locus roots of Equation Routh's Routh’s tabulation row s1 s-plane second-order system slope Solution state-space representation state-transition matrix steady-state error Step response substituting Suppose system depicted system is stable system shown system with transfer term 20 log transfer function G(s unit-step variables vector voltage