Problem Solver in Automatic Control Systems/robotics |
Common terms and phrases
a₁ amplitude angle asymptotically stable block diagram characteristic equation closed-loop poles closed-loop system closed-loop transfer function coefficients constant control system curve damping ratio Determine the stability differential equation eigenvalues eigenvectors feedback following equation G(jw G₁ G₂ gain given initial conditions inverse Laplace transform K₁ K₂ limit cycle linear Lyapunov function magnitude nonlinear Nyquist plot obtain open-loop transfer function optimal control output performance index phase margin plane positive definite PROBLEM R₁ real axis root locus Routh array s-plane shown in Fig shows singular point Solution Solving steady-state error Substituting system is asymptotically system is described system is stable system shown t-to t₁ theorem trajectory unstable variables vector x₁ Y₁ z-transform zero λι