12529 (v.2) Systems Theory and Control 302

Area:

Department of Mathematics and Statistics

Credits:

25.0

Contact Hours:

4.0

** The tuition pattern below provides details of the types of classes and their duration. This is to be used as a guide only. For more precise information please check your unit outline. **

Lecture:

3 x 1 Hours Weekly

Tutorial:

1 x 1 Hours Weekly

Prerequisite(s):

8127 (v.6) Advanced Calculus 201 or any previous version
AND
8128 (v.6) Linear Algebra 202 or any previous version

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.

** To ensure that the most up-to-date information about unit references, texts and outcomes appears, they will be provided in your unit outline prior to commencement. **

Field of Education:

10101 Mathematics

Funding Cluster:

04 - Mathematics, Statistics

SOLT (Online) Definitions*:

Not Online
*Extent to which this unit or thesis utilises online information

Result Type:

Grade/Mark

Availability

Year	Location	Period	Internal	Partially Online Internal	Area External	Central External	Fully Online
2005	Bentley Campus	Semester 2	Y

Area External	refers to external course/units run by the School or Department or offered by research.
Central External	refers to external and online course/units run through the Curtin Bentley-based Distance Education Area
Partially Online Internal	refers to some (a portion of) learning provided by interacting with or downloading pre-packaged material from the Internet but with regular and ongoing participation with a face-to-face component retained. Excludes partially online internal course/units run through the Curtin Bentley-based Distance Education Area which remain Central External
Fully Online	refers to the main (larger portion of) mode of learning provided via Internet interaction (including the downloading of pre-packaged material on the Internet). Excludes online course/units run through the Curtin Bentley-based Distance Education Area which remain Central External