Course objective:
(1) modelling of dynamic systems: includign mechanical and electrical systems. (2) analysis of dynamic systems for the use of design and control.

Course Outlines:

1. Modelling of mechanical systems: Lagrange dynamics.
2. Modelling of electrical and magnetic systems
3. Modelling of thermofluid systems.
4. Modelling of manufacturing systems, biological systems, economic systems (optional).
5. Analysis of continuous-time and discrete-time linear system 包括 equilibrium point, eigenvalue & stability, phase portrait (state space trajectory)
6. . Analysis of piecewise linear system such as linear system with static nonlinearity like friction, deadzone, ……..
7. Analysis of nonlinear system 包括 equilibrium points, linearization, stable and unstable manifold, phase protrait
8. Limit cycle of nonlinear systems, and its stability analysis

TEXT BOOKS:
1. T.D. Burton, Introduction to Dynamic Systems Analysis, McGraw-Hill, 1994
Chapters 1-6.
2. J. H. Ginsberg, Advanced Engineering Dynamics, 2nd version, Cambridge, Chaper 6 only,
3. Principles and Applications of Electrical Engineering,