Cta Exam-Control Theory and Applications

May 5th, 2015
Studypool Tutor
Price: \$10 USD

Tutor description

State True or False a. A dynamic system can be operated at an unstable equilibrium point, if a stabilizing feedback controller is applied to it. ( ) b. A system is stable according to Lyapunov if the system converges to some equilibrium point for all initial states. ( ) c. According to Lyapunov, the domain of attraction of a nonlinear system with one stable equilibrium point is always the complete state-space.

Word Count: 1341
Showing Page: 1/20
Cta ExamTechnische Universitt Dortmund a Department of Biochemical and Chemical Engineering Chair of Process Dynamics and Operations Prof. Dr. Sebastian EngellWritten Midterm Examination Control Theory & Application Master Program: Automation & Robotics WS 2010/11 9th of December, 2010 Duration: 75 minutesTaskAchievable ScoreScore Achieved Question 1: a) b) c) d) e) Question 2: Question 3: a) b) Question 4: a) b) c) d) e) f) Question 5: Question 6: a) b) Total2.5 0.5 0.5 0.5 0.5 0.5 3 1.5 1 0.5 3 0.5 0.5 0.5 0.5 0.5 0.5 4 (0.5x8) 3 1 2 17.0TaskAchievable ScoreScore Achieved Problem 1: a) b) Problem 2: a) b) c) Problem 3: a) b) Total9 3 6 6 2 2 2 5 2 3 20Midterm Examination: Control Theory and Applications, 9.12.2010Page 2Question 1: Stability (2.5 Points)State True or False a. A dynamic system can be operated at an unstable equilibrium point, if a stabilizing feedback controller is applied to it. ( ) b. A system is stable according to Lyapunov if the system converges to some equilibrium point for all initial states. ( ) c. According to Lyapunov, the domain of attraction of a nonlinear system with one stable equilibrium point is always the complete state-space. ( ) d. An autonomous linear system having two eigenvalues 1 = 0, 2 < 0 will always converge to the origin. ( ) e. An autonomous linear system having two eigenvalues 1 = 2 = 0 is always a simply stable system. ( )Midterm Examination: Control T

Review from student

Studypool Student
" all I can say is wow very fast work, great work thanks "

1824 tutors are online

Other Documents

05/05/2015
05/05/2015

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors