Course Schedule - Fall Semester 2020

     

MECH 508 001 (CRN: 14953)

NONLINEAR SYSTEMS

Long Title: NONLINEAR SYSTEMS: ANALYSIS AND CONTROL
Department: Mechanical Engineering
Instructor: Ghorbel, Fathi H.
Meeting: 11:20AM - 12:40PM TR KCK 100 (24-AUG-2020 - 4-DEC-2020) 
Session: Full Term
Grade Mode: Standard Letter
Course Type: Lecture
Language of Instruction: Taught in English
Method of Instruction: Face to Face
Credit Hours: 3
Course Syllabus:
Course Materials: Rice Campus Store
 
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Section Max Enrollment: 49
Section Enrolled: 6
Total Cross-list Max Enrollment: 49
Total Cross-list Enrolled: 8
Enrollment data as of: 28-NOV-2022 3:19AM
 
Additional Fees: None
 
Final Exam: GR Course-Dept Schedules Exam
 
Description: Mathematical background and fundamental properties of nonlinear systems: Vector norms, matrix norms, matrix measures, existence and uniqueness of solutions of ordinary differential equations. Linearization, second order systems, periodic solutions, approximate methods. Lyapunov stability: Stability definitions, Lyapunov's direct method, invariance theory, stability of linear systems, Lyapunov's linearization method, converse theorems. Selected topics in nonlinear systems analysis and nonlinear control from: Input/Output stability: Small gain theorem, passivity theorem. Perturbation theory, averaging, and singular perturbations Feedback linearization control. Other methods in the control of nonlinear systems such as backstepping, sliding mode and other Lyapunov-based design methods. Advanced nonlinear and adaptive robot control. Cross-list: CAAM 508, ELEC 508.