iii) Discuss the controller's behavior in terms of transient, steady state response. What about the stability? If the controller is unstable, how does the ACC system behave?

QUESTION 2 Consider a system model given by d²x (t) d1² 2- + 3x (t) = 48 (t) x (0) = 1 dx (t) dt =0- = -3. What is the initial response at t=0+? x(0+)=0 and dx/dt(0+)= -1 x(0+)=1 and dx/dt(0+)= 4 x(0+)=1 and dx/dt(0+)= -1 x(0+)=2 and dx/dt(0+)= -1 x(0+)=1 and dx/dt(0+)= 1 x(0+)=4 and dx/dt(0+)= 1

If the system is to be arranged in a closed-loop, with a controller gain K in the forward path and a unity negative feedback loop, what is the maximum value of K which could be used without the system becoming unstable? Assuming you use Figure Q5 for this, use a sketch to show how you obtained the values from the plot.

A system can be approximately expressed as X₁ = −T₁×₁ +σx2 x2=-T2x2 + ku a. Given ₁ = 8,σ = 4, k = 0, find the range of T2 such that the system x = Ax is asymptotical stable. b. Given ₁ = 8, t₂ = −1, σ = k = 1, design a state-feedback controller, such that the system x = Ax+Bu is asymptotical stable. LG 11-7 IZ-N 13-

I want answer asap

For the system shown in the Fig.2, determine the steady state error (ess) for the unit ramp input .How can you modify, change or replace the controller in order to reduce or eliminate the steady state error (ess).(prove that mathematically). ST R(s) 1 Fig.2 00.² s(s+250) C(s)

A. The open-loop transfer function of a unit negative feedback control system is as K GK (S)=- (s+ 1)(s + 2)(s+3)(s+4) (1) Evaluate the value range of K when the closed-loop system is stable; (2) Calculate the steady-state error of the system when the input is the unit step signal.

A37 A32 A4 Aes A23x A34/x A45 /x As /x Ae7 A72 1-find a) Input and Output nodes. b) . Forward paths. c) Feedback paths. d) Self loop e) . Determine the loop gains of the feedback loops. f) Determine the path gains of the forward paths. 2- Apply Mason's Rule to calculate the transfer function of the system represented by following Signal Flow Graph

Please don't provide handwritten solution ....

b) Closed-loop transfer function of a unity-feedback system is given by Y(s) / R(s)=1/(ts+1) .Discuss steady-state error for positional, velocity, and acceleration input?