Details of Grant 

EPSRC Reference:	GR/S94582/01
Title:	Control Systems with Hysteresis: Absolute Stability, Tracking and Disturbance Rejection
Principal Investigator:	Logemann, Professor H
Other Investigators:	Ryan, Professor EP
Researcher Co-Investigators:
Project Partners:
Department:	Mathematical Sciences
Organisation:	University of Bath
Scheme:	Standard Research (Pre-FEC)
Starts:	01 October 2004	Ends:	30 September 2007	Value (£):	133,646
EPSRC Research Topic Classifications:	Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
The proposal is twofold in theme: (a) development of absolute stability results encompassing well-posed infinite-dimensional systems and hysteresis nonlinearities; (b) application of the absolute stability results to problems of (adaptive) low-gain compensator design for tracking of reference signals. In both themes, continuous as well as sampled-data feedback will be studied, necessitating the parallel development of both continuous-time and discrete-time absolute stability theories. In the proposed research, recent advances in infinite-dimensional systems theory (the concept of well-posed systems in particular) and the development of a rigorous theory of hysteresis operators will play fundamental roles. The conjunction of these recent developments essentially constitutes theme (a) of the project. Theme (b) is that of application of the results of theme (a) to problems of low-gain control of systems with input and output nonlinearities. An important aspect of this is the development of controllers which can cope with nonlinearities of a type that are widespread in engineering practice: deadzones, saturation, backlash (play), elastic-plastic (stop) and other more complex hysteretic effects. The goal of theme (b) of the project can make a substantial contribution towards the development of a rigorous - but applicable - infinitedimensional control theory in a context of systems and nonlinearities natural to control engineering.
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Organisation Website:	http://www.bath.ac.uk