Question: Consider the helicopter altitude control problem shown in the following diagram, where Helicopter Altitude Control Problem J = helicopter inertia, Br(t) =reference helicopter attitude, B(t)

Consider the helicopter altitude control problem shown in the following diagram,

where Helicopter Altitude Control Problem J = helicopter inertia, Br(t) =reference helicopter attitude, B(t) =actual helicopter attitude, Ks = sensor gain, Kr =reference scaling gain, w(t) = disturbance torque.

(a) Use proportional control D(s) = Kp. Does this controller provide additional damping>?

(b) Use PD control, D(s) = Kp + Kns. Determine the tracking and disturbance-rejection pmperties (i.e., find and e;::s) for step inputs on Br(t) and w(t).
J(

(c) Use PI control, D( s) = f( p + - 1 . Discuss the effect of this controller s on the stability of the system.
K {d) Use PID control, D(s) = Kp + __!_ + KDs. Discuss the effect of this controller on the stability and steady st'~te errors of the system.

(e) What are the two system types (one with n~spect to the reference and the other with respect to the disturbance) when the PID controller is employed?
Problem

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Data Structures And Algorithms In C++ Questions!

Consider the helicopter altitude control problem shown in the following diagram, where \[ \begin{aligned} J & =\text { helicopter inertia }, \\ \theta_{r}(t) & =\text { reference helicopter attitude,...

UNDERSTAND PRACTICE 10. Error Analysis Kendall was asked to find 16. Trace ABCD and point P. the scale factor for the dilation. What is Draw the dilation of Kendall's error? ABCD using P as the...

Izembek Lagoon, an estuary in Alaska, is a very important staging area for Pacific brant, a small migratory goose. Each fall, nearly the entire Pacific Flyway population of 130,000 brant flies to...

The Bell-Boeing V-22 Osprey tiltrotor is both an airplane and a helicopter. It's advantage is the ability to rotate its engines and rotors to vertical position for take-off, landings, and helicopter...

The Bell-Boeing V-22 Osprey Tilt rotor is both an airplane and a helicopter. Its advantage is the ability to rotate its engines to 90° from a vertical position for takeoffs and landings as shown...

The Bell-Boeing V-22 Osprey Tilt rotor is both an airplane and a helicopter. Its advantage is the ability to rotate its engines to a vertical position, as shown in Figure P7.33(a), for takeoffs and...

2. (35 points) Adapted from [DB 12th P9.20): The altitude control loop for the Osprey Tiltrotor aircraft in helicopter mode is shown in the block diagram in Figure 2. - bm the Controlle. Da .... (d)...

Please proofread the topic and edit, as necessary. Part 1: Proposal of Topic Select and describe a topic for your final project by identifying an organization and a process within the organization...

1.The table shows some values of an exponential function, f, and a linear function, g. Find the equation for f(x) and g(x) and use the functions to complete the table. f(x) = g(x) = x f(x) 0 g(x) 7 1...

1 Jane's all the Worlds Aircraft from 1993 lists data of the Fokker 50 Series 100: wing span 70m ^ 2 wing area 29 m MTOW 19950 kg max. operating altitude 25000 ft power plant: two Pratt & Whitney...

Green Solutions is a partnership owned by F. Sabac and S. Hilton. At January 1, 2011 the partner's capital accounts were: F. Sabac, $16,500 and S. Hilton $12,300. During 2011, Hilton contributed to...

Assume the following information pertaining to Cub Company: Prime costs $195,000 Conversion costs 221,000 Direct materials used 85,000 Beginning work in process 98,000 Ending work in process 81,000...

substance a decomposes at a rate proportional to the amount of a present. it is found that 1 2 lb of a will reduce to 6 lb in 4 . 2 hr . after how log will there be only 1 lb left?

What is the definition of cooperative strategy, and why is this strategy important to firms competing in the current competitive landscape?

For the following nonhomogeneous input-output differential equations (InputOutput models), find their respective system responses: (a) \[\begin{aligned}\ddot{y}+4 \dot{y}+3 y & =u(t) \\\text { where...

For the CR electrical circuit shown in Figure 3.8, where $R=2 \Omega, C=2 F$, and $u(t)$ is a unit step input, find the system output $v_{C}(t)$. Figure 3.8 An RC circuit. 5u(t) w R C VC

Consider a spring mass damper system with the following Input-Output model: \[m \ddot{y}+f \dot{y}+k y=u(t) \text { where } u(t) \text { is a constant, and } \dot{y}(0)=0\] (a) Find $Y(s)$, the...

10 (3 points) Complete the table: Assets Liabilities + Owner's Equity = A. 10,000 4,000+ B. 15,000 = +10,000. C. = 3,000+ 5,500. Blank #1 Blank # 2 Blank # 3 R P

The adjusted trial balance for Pina Colada Corporation at the end of 2020 contained the following accounts: Bonds payable, 10% $410,000 Interest payable 25,100 Discount on bonds payable 42,000 Notes...

9 14 For each of the transactions for the month below, journalize the necessary entry. The first entry has been completed for you. a. Materials purchased on account, $412,000. Description Dobil...