Design of Missile with Two-Loop and Autopilot Yaw Using Root Locus Abstract:This paper aims at designing Automatic Landing Systems for MISSILE based on Root Locus modern control system. The control method is used to determine gains of the controllers in order to apply the Root Locus method. The block diagram of the proposed control system with required controller gains is established. The transfer functions for open loop and then the closed loop are obtained based on automatic control principles. The Root Locus for open loop is drawn and then gain (K) values are found for given damping ratios. Finally, the step responses of the closed-loop system with automatic landing system controller auto-pilot were drawn. The digital simulation results …show more content…
More specifically, use the tail deflection to track an acceleration maneuver with a time constant of less than 0.35s, a steady state error of less than 5%, and a maximum overshot of 20% for the step response. Controller synthesis can be done using different frequency or time-domain methods. The root locus technique is applied in this paper, the discussion of which is presented below. This technique provides graphical information in the complex plane on the trajectory of the roots of the characteristic equation for variations in one or more system parameters. Since the roots placement in the complex plane governs the type of the response that can be expected to occur, the ability to view the movement of the roots in the complex plane, as one or more system parameters are varied, turns out to be very useful. The root locus and the closed-loop step response plot of the transfer function 1defined in …show more content…
Lead Compensation The purpose of compensator design generally is to satisfy both transient and steady-state specifications. In the root locus design approach presented here, these two tasks are approached separately. First, the transient performance specifications are satisfied, using one or more stages of lead (usually) or lag compensation [7] The transfer function of a typical lead compensator is the following, where the zero is smaller than the pole, that is, it is closer to the imaginary axis in the complex plane. C(S)=K (S-Z)/(S-P) (3) Then by clicking the Show Analysis Plot button a window entitled LTI Viewer for SISO Design Task displaying the system's closed-loop step response will open. You can also identify some characteristics of the step response. Specifically, right-click on the figure and under Characteristics choose Settling Time. Then repeat for Rise Time[3]. Simulation Results The simulations are carried out in MATLAB environment and the results obtained areshown in Fig.5, Fig.6
After the Simulink runs, the SSSC-controller will work to damp out the power oscillation damping very quickly in condition of the three-phase fault. The change of Vqref, shown in Fig. 6, forces the SSSC to inject the Vqinj to reach it. Compared with previous scenario, the POD makes the variation between the inductive, capacitive, and disturbance conditions gradually. Also, in Fig.
Midpoint Bias It is desirable to bias a JFET near the midpoint of its transfer characteristic curve where IDSS = I_DSS/2 Under ac signal condition, it allows the maximum amount of drain current swing between IDSS and 0. IDSS
For this experiment we utilized varying forms of Ohm’s law (V=IR), rules for resistors in series (Rtotal=R1+R2+…) and parallels (1/Rt=1/R1+1/R2+⋯), and Kirchhoff’s Junction Rule (ΣIi=0). For these models we assumed that the DMM’s produced accurate readings
The coordinates of the system is defined by , θ = angle of the chassis from vertical, α = angle of tread assemblies from vertical, Ø = rotation angle of tread sprockets from vertical, mc = mass of chassis, mT = mass of tread, ms = mass of sprocket, Lc = length from centre of sprocket to centre of chassis, LT = length from centre of sprocket to centre of tread assembly. The kinetic energies of the sprocket, chassis and tread assemblies are given respectively , T_S=1/2[m_c x ̇^2+J_S φ ̇^2] (1) T_C=1/2 [〖m_c (x ̇-L_c θ ̇ cosθ)〗^2+m_c (〖L_c θ ̇ sin〖θ)〗〗^2+J_c θ ̇^2 ] (2) T_T=1/2[m_T (〖x ̇-L_T α ̇ cos〖α)〗〗^2+m_T (〖L_T α ̇ sin〖α)〗〗^2+J_T α ̇^2] (3) The gravitational potential energy is given by ,
onvergence of Adaptive Noise Canceller '); legend( 'Measured Signal ', 'Error Signal '); subplot(3,3,6); plot(t,e, 'r '); hold on; plot(t,fhb, 'b '); axis([Time-4 Time -0.5 0.5]); grid on; xlabel( 'Time [sec] '); ylabel( 'Voltage [mV] '); title( 'Steady-State Error Signal '); legend( 'Calc Fetus ', 'Ref Fetus ECG '); filt_e = filter(Hd,e); subplot(3,3,7); plot(t,fhb, 'r '); hold on; plot(t,filt_e, 'b '); axis([Time-4 Time -0.5 0.5]); grid on; xlabel( 'Time [sec] '); ylabel( 'Voltage [mV] '); title( 'Filtered signal '); legend( 'Ref Fetus ', 'Filtered Fetus '); thresh = 4*mean(abs(filt_e))*ones(size(filt_e)); peak_e = (filt_e >= thresh); edge_e = (diff([0; peak_e]) >0); subplot(3,3,8); plot(t,filt_e, 'c '); hold on; plot(t,thresh, 'r '); plot(t,peak_e, 'b '); xlabel( 'Time [sec] '); ylabel( 'Voltage [mV] '); title( 'Peak detection '); legend( 'Filtered fetus ', 'Dyna thresh ', 'Peak marker ', 'Location ', 'SouthEast '); axis([Time-4 Time -0.5 0.5]); subplot(3,3,9); plot(t,filt_e, 'r '); hold on; plot(t,edge_e, 'b '); plot(0,0, 'w '); fetus_calc = round((60/length(edge_e(16001:end))*Fs) * sum(edge_e(16001:end))); fetus_bpm = [ 'Fetus Heart Rate = ' mat2str(fetus_calc)]; xlabel( 'Time [sec] '); ylabel( 'Voltage [mV] '); title( 'Reconstructed fetus
In Figs. (\ref{fig:NC3Mont.eps}-\ref{fig:NC6Mont.eps}), the results of the Monte Carlo analysis is presented along with the result obtained for the central values of the parameter. It is observed that for the form factors $C_3^{N \Delta}(Q^2)$, $C_4^{N \Delta}(Q^2)$ and $C_6^{N \Delta}(Q^2)$, Monte Carlo analysis and the prediction for the central values agree at large values of $Q^2$, but deviate from each other for small values of
Let $x(t)=(x_1(t),\ldot,x_n(t))$ be the concentration of the species on the instant $t$. Consider the representation of a chemical reaction network in terms of differential equations, \begin{equation} \frac{dx_i}{xt} = f_i(x), \:\:i=1,\ldot\n \end{equation} The point of interest is to determine if the system admits multiple positive steady states. Therefore, figure if the following equation admits more than one strictly positive solution, \begin{equation} f_i(x)=0, \:\:i=1,\ldot\n. \end{equation} Consider the matrices $A$ and $V$, and the parameters $\kappa$, that correspond to the constant rates of the reactions, such that $$f(x) = A(\kappa\circ x^V).$$ The method implemented uses this representation of the polynomial map $f$ and infers
where t^(dcc/acc/cns) is the deceleration/acceleration/constant velocity time in the respective segment (see also Figure 6), t_(s→s+1) is the jump travel time from layer part s to the next layer part s+1 at distance x, (.)_max^(process/machine) are the process/machine limits for velocity x ̇ and acceleration x ̈, kinematics at the start/end of the jump j are indicated with subscript 0/end, x ̇_j^* are the maximum velocity (lower than machine limits) during jump j. t^(dcc,1) is zero if |x_j^(dcc,1) | is smaller than |x_(s+1) | in the respective direction. t^(acc,2/cns,3/dcc,4) is zero if |x_j^(dcc,1) | equals |x_(s+1) | in the respective direction. t^(cns,3 ) is zero if x ̇_j^*< x ̇_max^machine. Figure 6 illustrates three different scenario’s
1/9 KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS ACHB/CE EE315: PROBABILISTIC METHODS IN ELECTRICAL ENGINEERING ELECTRICAL ENGINEERING DEPARTMENT Student ID Student Name Section 1 MAJOR II EXAMINATION This is a secure exam.
This is the first demonstration which specifies undifferentiated and differentiated cell population in a multiphase HFMB model. In addition, the decent scientific standard of the research is demonstrated through the reasonable assumptions of threshold cell differentiation for shear stress increase, and adequate analyses of expected and resulted graphs with notes to cell cycles and yielding number. The originality is thus classed as high and the priority for publication is high. However, there exists several major doubts.
Maya M. Rivera 201 8/R Objective: Calculate the height it takes to fire a golf ball out of a cannon at different initial speeds. What is the relationship between the initial speed of the golf ball and the height recorded? What is a projectile?
What is The Healing Tree? The Healing Tree is a team of highly trained, compassionate counselors who help children and their families through the process of healing from recent or past trauma. The Healing Tree offers confidential counseling in the form of individual, family and group therapy for children ages 3 through 17 years who have experienced physical or sexual abuse. Using evidence-based treatment methods, The Healing Tree also offers counseling to family members and caregivers. Recognized as one of Florida’s premier providers for counseling children who have experienced trauma from abuse, our licensed counselors combine their expertise with warmth and compassion to facilitate the healing process.
4. Calculate the difference amidst theoretical, simulated and practical values. 5. Consult Hishan to probe in details about problematic components. 6.
Predict/ roughly determine the Vmax and ½ Vmax values from the peak of the graph, where the slope of the graph levels off (the asymptotical line). Predict/ roughly determine the Km by reading off of the graph the corresponding substrate concentration on the x-axis for the ½ Vmax value. Plot a Lineweaver-Burke graph (the inverse of the velocity of the reaction vs. the inverse of the substrate concentration). Calculate accurate Vmax and Km values using the following equation for the Lineweaver-Burk
1. The sampling frequency of the following analog signal, s(t)=4 sin 150πt+2 cos 50πt should be, a) greater than 75Hz b) greater than 150Hz c) less than 150Hz d) greater than 50Hz 2. Which of the following signal is the example for deterministic signal? a) Step b) Ramp c)