12529 (v.2) Systems Theory and Control 302
| Area: | Department of Mathematics and Statistics |
| Credits: | 25.0 |
| Contact Hours: | 4.0 |
| Lecture: | 3 x 1 Hours Weekly |
| Tutorial: | 1 x 1 Hours Weekly |
| Prerequisite(s): | 8127 (v.5) Mathematics 201 or any previous version
AND
8128 (v.6) Linear Algebra 202 or any previous version
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| Syllabus: | Introduction to the state space description of continuous time dynamical systems; equilibrium points; limit cycles; phase plane analysis of second order systems; general stability concepts for autonomous systems; Lyapunov stability theory (first and second methods of Lyapunov, linearization, invariant sets, Lyapunov equation for linear systems); variable gradient method; stability of systems arising from population dynamics; introduction to control systems (open loop and feedback control, linear systems,controllability, observability, nonlinear systems); optimal control problems (general canonical form, examples); optimality conditions (Euler-Lagrange equations, Pontryagin minimum principle); singular control, time optimal control, Hamilton- Jacobi-Bellman equation and application to linear quadratic regulator problem; optimal parameter selection problems; gradient derivation; control parametrization; MISER3; conversion of nonstandard problems into canonical form. |
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| Unit Outcomes: | To acquire a sound understanding of basic systems and control theory from a state space perspective. |
| Text and references listed above are for your information only and current as of September 30, 2003. Please check with the unit coordinator for up-to-date information. |
| Unit References: | Vincent, T.L., and W.J. Grantham, 1997. Nonlinear and Optimal Control Systems, John Wiley & Sons, New York; Slotine, J.J.E. and W. Li, 1991. Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, New Jersey; Teo, K.L., C.J. Goh and K.H. Wong, 1991.A Unified Computational Approach to Optimal Control Problems, Longman Scientific and Technical, Essex; Goh, B.S., 1980. Management and Analysis o Biological Populations, Elsevier, Amsterdam |
| Unit Texts: | No prescribed texts |
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| Unit Assessment Breakdown: | 2 Assignments - 20%, 1 Project - 10%, Final Examination - 70% |
| Year | Location | Period | Internal | Area External | Central External | | 2004 | Bentley Campus | Semester 2 | Y | | | |
Current as of: February 2, 2004
CRICOS provider code 00301J
