#Abscissa values series#

#Abscissa values series#

On computing Puiseux series for multiple imaginary characteristic roots of LTI systems with commensurate delays. Delay Differential Equation with Application in Population Dynamics, Academic Press, San Diego (1993) ESAIM: Control, Optimisation and Calculus of Variations, 26, 57 (2020) Multiplicity-induced-dominancy in parametric second-order delay differential equations: analysis and application in control design. I., EL-ATI, A., PEREZ-RAMOS, R., and TRABELSI, K. Parametric continuation algorithm for time-delay systems and bifurcation caused by multiple characteristic roots. Stability test of fractional-delay systems via integration. Optimal feedback gains of a delayed proportional-derivative (PD) control for balancing an inverted pendulum. SIAM Journal on Control and Optimization, 55, 397–412 (2017) An analytical approach to tuning of delay-based controllers of LTI-SISO systems. RAMIREZ, A., SIPAHI, R., MONDIE, S., and GARRIDO, R. PID control in terms of robustness/performance and servo/regulator trade-offs: a unifying approach to balanced autotuning. Handbook of PI and PID Controller Tuning Rules, 3rd ed., Imperial College Press, London (2009)ĪLCANTARA, S., VILANOVA, R., and PEDRET, C. Spectrum analysis of LTI continuous-time systems with constant delays: a literature overview of some recent results. Should we forget the Smith predictor? IFAC-PapersOnLine, 51(4), 769–774 (2018) Journal of Fluids and Structures, 34, 35–50 (2012) Designing active flutter suppression for high-dimensional aeroelastic systems involving a control delay. International Journal of Mechanical Sciences, 175, 105338 (2020) Spatial-temporal dynamics of a drill string with complex time-delay effects: bit bounce and stick-slip oscillations. H., ZHENG, X., MENG, G., and BALACHANDRAN, B. Applied Mathematics and Mechanics (English Edition), 40(1), 25–48 (2019) Suppression of oscillatory congestion via trunk link bandwidth and control gain in star network. Chinese Journal of Theoretical and Applied Mechanics, 49(3), 565–587 (2017) Review on nonlinear dynamics in systems with coupling delays (in Chinese). Some problems of delayed feedback control (in Chinese). Synchronization transitions on scale-free neuronal networks due to finite information transmission delays. Motion Stability of Dynamical Systems with Time Delays (in Chinese), 2nd ed., Science Press, Beijing (1983) If the point is not on the selected base line, the projection point is calculated.QIN, Y. If your actual starting point is different to the indicated P1, you can use the Abscissa P1 icon to select this point in the drawing. If your measurement did not start with the abscissa 0.00 you can type a new value. The delta is added again.ĭistance that has been measured in the field.Ĭalculated distance of the base line points P1-P2 read-only.Įnter a Measured distance to calculate a factor, which is used to adjust the differences between calculated and measured distance proportional to the abscissa values.Ībscissa value at point 1 default is 0.00. The new value is calculated by adding the delta to the current value. This is useful if you want to calculate a number of points with the same abscissa or ordinate distances. You can specify the values by an absolute number or by delta values, related to the current value. Use the Graphic icon in the abscissa or ordinate row to specify the value in the drawing. Use the Graphic icon in the Constructed row to transfer the values of an existing point into the dialog box. Type negative ordinates to determine points that are left to the base line. Type the abscissa and ordinate of the new point. This is useful, if you want to calculate another point with delta values. Use the Graphic icon to determine the abscissa and ordinate of an existing point. You can edit the coordinates in the dialog box or use the Graphic icon to select another point. If you click a base line in the drawing, the coordinates of the next two vertices are inserted in the dialog box. With a point Offset value you can specify a base line that is tangent to a circle with that radius. P1 and P2: You can specify the base line by two points and a radius (straight lines radius = 0). Type an Azimuth value or use the Graphic icon to modify the orientation of the base line. Type a Radius value, if your base line is an arc.

Type an Offset value or use the Graphic icon to shift the line. Click the Highlight icon to show the element in the drawing.Ĭlick Graphic icon to identify another base line.