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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
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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. |
Texts and references listed below are for your information only and current as of September 30, 2003. Some units taught offshore are modified at selected locations. Please check with the unit coordinator for up-to-date information and approved offshore variations to unit information before finalising study and textbook purchases. |
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% |
Field of Education: | 10100 Mathematical Sciences (Narrow Grouping) | HECS Band (if applicable): | 2 |
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Extent to which this unit or thesis utilises online information: | Not Online | Result Type: | Grade/Mark |
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Availability
| Year | Location | Period | Internal | Area External | Central External | | 2004 | Bentley Campus | Semester 2 | Y | | |
Area
External | refers to external course/units run by the School or Department, offered online or through Web CT, or offered by research. |
Central
External | refers to external course/units run through the Curtin Bentley-based Distance Education Area |
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