Mathematical Modelling and Control Engineering - NOT RUNNING IN 2009/10 - entry

To introduce students to mathematical models of engineering systems. To expose them to standard methods of systems analysis using transform methods in both continuous and discrete variable form.To introduce them to the concepts of feedback and stability, and standard control concepts via a detailed analysis of proportional, integral and derivative controls for first and second order systems.

Note: List A comprises core outcomes that will be covered fully in lectures and must be achieved by all students to meet the minimum university requirement for progression. List B comprises outcomes that are EITHER more difficult to achieve OR are to be achieved by private study (or both). All outcomes will be assessed, and coverage of List B outcomes is essential for both BEng and MEng students. A: THRESHOLD LEVEL System modelling. Motivational examples of real physical systems and their behaviour (sourced by student experience), spring mass damper, RLC networks, heated reservoir, liquid tanks with capillary pipes. Input/output relationships, the lumped parameter element concept, linearity, constant and time varying, reciprocity, non-linearity. Linear time-invariant reciprocal lumped parameter, (LT) approximations to real elements. Storage elements, dissipative elements. Approximations to real first and second order systems by building up connected networks of LT elements, need for extra system elements (signed summer, constant coefficient multiplier). Description of network as single system block with single input, single output. Derivation of system differential equation. System order and relationship to number of storage elements and physical link to number of initial conditions. Coupled systems, 3rd order and above, multi-input, multi-output systems. B: GOOD TO EXCELLENT System modelling. Direct derivation of system differential equation from first principles. Time-varying, non-reciprocal and non-linear elements and systems incorporating them, dependence of non-linear system behaviour on initial conditions. Linearisation techniques. Vector and matrix description of multi-input multi-output systems, introduction to distributed systems.

Generic modelling of engineering systems as networks. Electromechanical, thermal and fluid systems examples. SISO and MIMO systems. Laplace systems (Mustafa) Open and Closed-Loop Control Systems Sensitivity of Control Systems to Parameter Variation Disturbance Rejection Transient Response Steady-State Error Case Study -- Speed Control of a DC Motor The Stability of Linear Feedback Systems Three-Term PID Controller Control of First-Order Systems Proportional (P) Control of First-Order Systems Integral (I) Control of First-Order Systems PI Control of First-Order Systems Derivative (D) Control PD Control of Second-Order Systems PID Control

Scheduled Learning & Teaching Activities		Guided Independent Study		Placement / Study Abroad

Coursework	30	Written Exams	70	Practical Exams

Reading list for this module:

Type	Author	Title	Edition	Publisher	Year	ISBN
Set	Dorf, Richard C	Modern Control Systems	13th edition	Reading, Mass; Wokingham: Addison-Wesley	2016	978-0132451925
Set	Nise, Norman S	Control Systems Engineering: MATLAB tutorial update to version 6	3rd or later	New York: John Wiley and Sons	2002	0471250910
Set	Ogata, Katsuhiko	Modern Control Engineering	4/e (2nd or later)		2010	0130609072
Set	Franklin G.F., Powell J.D. and Emami-Naeini A.	Feedback Control of Dynamic Systems		Pearson	2008	978-0135001509
Set	Wilke, J; Johnson, M and Katebi, R	Control Engineering: an Introductory Course		Basingstoke: Palgrave	2001

CREDIT VALUE	15	ECTS VALUE	7.5

PRE-REQUISITE MODULES	ECM1102, ECM1107
CO-REQUISITE MODULES

NQF LEVEL (FHEQ)	2	AVAILABLE AS DISTANCE LEARNING	No
ORIGIN DATE	Thursday 15th December 2011	LAST REVISION DATE	Thursday 15th December 2011

KEY WORDS SEARCH	None Defined