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, linearisation, 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 parametrisation, MISER3 and 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:

010101 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