Ascent Trajectory Optimization
Powered Explicit Guidance (PEG)
Powered Explicit Guidance (PEG) is the iterative guidance algorithm that solves an optimal control problem in order to determine the thrust-steering vector profile for 2nd stage (after SRB se
Review for Exam 1 Fall 2008 Modern Control Potential Topics on Exam 1: 1. State-space representation (SSR): state vector, control vector, output vector, and matrices
A, B, C, and D. 2. Linearization: 1) select reference pt (equilibrium or operating point)
Syllabus MAE 4720/7720 Modern Control Fall 2008 Dr. Craig Kluever [email protected]
Reference texts: Modern Control Engineering (4th ed), K. Ogata, 2002 (not required) Optimal Control, F.L. Lewis, 1986 (not required)
Course Description: Modern Control
Syllabus MAE 4720/7720 Modern Control Fall 2008 Dr. Craig Kluever [email protected]
Reference texts: Modern Control Engineering (4th ed), K. Ogata, 2002 (not required) Optimal Control, F.L. Lewis, 1986 (not required)
Course Description: Modern Control
Homework Set #1: MAE 4720/7720 Modern Control Fall 2008 Due September 11, 2008 Problem 1. A simple RLC circuit has the following voltage equation (obtained by applying Kirchhoffs law):
di 1 ea = L + Ri + idt dt C0
t
where ea is the applied voltage (input)
Homework Set #2: MAE 4720/7720 Modern Control, Fall 2008 Due Sept 18, 2008 Problem 1: The governing equation for a simple mass-spring system is
+ 4 z = 0 z
where z is the position of the mass, measured from equilibrium. There is no forcing function (no i
Homework Set #2: MAE 4720/7720 Modern Control, Fall 2008 Solution The governing equation for a simple mass-spring system is
+ 4 z = 0 z
a) the SSR is shown below:
x = [z
T z]
0 1 A= 4 0
1 2 = +4=0 4
Eigenvalues: det ( I A) = det
Therefore, the eigenv
Homework Set #3: MAE 4720/7720 Modern Control Fall 2008 Due October 7, 2008
Problem 1: Consider again the motion of an unpowered (gliding) reusable launch vehicle (RLV) first introduced in HW#1. The vehicle parameters are Vehicle mass m = 4000 slugs Wing
Homework Set #4: MAE 4720/7720 Modern Control Fall 2008 Due October 28, 2008
Problem 1: Given the quadratic scalar function F to be minimized:
2 2 2 Minimize F (u) = 2u1 + 6u 2 + 0.3u 3
subject to the two linear equality constraints h1 (u) = u1 4u 2 = 0 h
Project I, MAE 4720/7720 Modern Control, Fall 2008 Due date: Oct 30
The below diagram is from the 1971 MIT report on the Apollo lunar descent guidance design. The spacecraft (LM) fires a short de-orbit burn to descend from a circular lunar parking orbit,