| | Standard Course Syllabus | Course Supervisor | Date of Approval |
| | Dept. of Electrical and Computer Engineering | Serrani | 3/05 |
| | 754 | Nonlinear Systems |
| | 2. | CATALOG DESCRIPTION |
| | Analysis of nonlinear control systems; Lyapunov stability, numerical methods, phase-plane techniques, describing |
| | functions, and linearization via feedback. |
| | Quarters of Offering | Credits | | Level | Class Meeting |
| | Wi Qtr. | 3 | U G | 3 cl. |
| | Course Prerequisites |
| | Prereq: 551 or grad standing. |
| | 3. | PREREQUISITES BY TOPIC |
| | State variables, differential equations, introductory linear systems theory, elementary stability theory. |
| | Courses that require this as a direct prerequisite |
| | 852, 853, 858 |
| | 4. | Text(s) and Other Course Materials | Author(s) | Publisher |
| | Nonlinear Systems, 3rd Ed. | Khalil, H. | Prentice-Hall |
| | References (supplemental reading) |
| | [1] Nonlinear Systems Analysis, M. Vidyasagar, 2nd Edition, Prentice-Hall, 1996. |
| | [2] The Student Edition of MATLAB, by The Math Works Inc., Prentice Hall, 1992. |
| | [3] Modern Control Engineering, 3rd Ed., by K. Ogata, Prentice Hall, 1997. |
| | [4] Computational Aids in Control Systems Using MATLAB, by H. Saadat, McGraw-Hill 1993. |
| | 5. | COURSE OBJECTIVES |
| | 1. Develop tools for analysis of nonlinear control systems, including computer-aided analysis (Matlab) and nonlinear |
| | simulation (Criterion 3(a),(k)). |
| | 2. Provide a thorough treatment of results from Lyapunov stability theory (Criterion 3(a)). |
| | 3. Introduce useful engineering concepts from numerical methods, and phase-plane techniques (Criteria 3(a),(e)). |
| | 4. Provide a complete treatment of design concepts for linearization via feedback (Criterion 3(c)). |
| | 5. Introduce examples and applications of nonlinear system modeling and control (Criteria 3(a),(e),(i)). |
| | 6. | TOPICS AND (# OF LECTURES) |
| | Overview of nonlinear systems (2) |
| | Mathematical review (analysis, Lipschitz conditions, norms) (2) |
| | Phase-plane analysis and periodic orbits (7) |
| | Lyapunov stability (8) |
| | Passive Systems (2) |
| | Feedback linearization (8) |
| | 7. | CLASS MEETING PATTERN | (For example, "3cl." means 3 48-min classes per week.) |
| | 3 cl. |
| | Thursday, August 14, 2008 09:21 AM |
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