Other Bachelor Degree- OPTIMAL CONTROL (Karunya University, Coimbatore-2010)
Saturday, 24 August 2013 05:29anudouglas
Karunya University
(Karunya Institute of Technology and Sciences)
(Declared as Deemed to be University under Sec.3 of the UGC Act, 1956)
End Semester Examination – November/December 2010
Subject Title: OPTIMAL CONTROL Time: 3 hours
Subject Code: 09EI313 Maximum Marks: 100
Answer ALL questions (5 x 20 = 100 Marks)
1. a. Define the term 'functional'. Give one example. (5)
b. Find the variation of the functional v(x1,x2) v(x1(t), x2(t))= (15)
(OR)
2. State and derive the Euler Lagrange equation.
3. Compulsory:
a. Write short notes on: i) Optimal control ii) Performance indices (5+5)
b. Discuss about the optimal controller configurations in detail. (10)
4. Derive the Algebraic Ricatti Equation for a linear system modeled by , x(0)=x0 and the associated performance index is J= where Q=QT≥0 and R=RT >0.
(OR)
5. a. State the discrete form of the Algebraic Ricatti Equation. (4)
b. Discuss the salient features of the Pontryagin's minimum principle and derive a mathematical expression for the same. (16)
6. a. State the principle of optimality. (4)
b. Derive the Hamilton-Jacobi-Bellman Equation for a process model of the form , x(t0)=x0. (16)
(OR)
7. Discuss the various numerical techniques for solving optimal control problems.
8. Write a MATLAB program to design an optimal controller for tracking systems.
(OR)
9. Write a MATLAB program to solve the terminal time weighing problem.
| Earning: ₹ 0.00/- |
