Details of Grant 

EPSRC Reference:	GR/K83618/01
Title:	THE USE OF PERIODIC SYSTEMS IN ROBUST CONTROLLER DESIGN
Principal Investigator:	Nichols, Professor N
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Department:	Mathematics and Statistics
Organisation:	University of Reading
Scheme:	Standard Research (Pre-FEC)
Starts:	01 March 1996	Ends:	28 February 1997	Value (£):	35,298
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Summary on Grant Application Form
The purpose fo the project is the development and application of a new technique for robust controller desig recently established by the nominated Fellow [7]. The technique uses an algebraic Riccati equation method derived from a periodic hamiltonian system to assign robustly the dynamics of a time-invariant linear system via constant feedback in such a way that the resultant closed-loop linear system may have its poles restricted to a set of (not neccessarily convex) left-open polygons in the left half-plane. This method is of particular importance as:-it may by implemented in a straight-forward mannerm integrating well into the standard software toolbox of the control engineer.-it is specifically designed to be used for systems modeled by linear time-invariant state space equations, whcih is the most straightforward and effective means of modeling multi-input multi-output (MIMO) systems. It is therefore applicable to a wide range of industrial problems.-it may be implemened using numerically stable and efficient algorithms.-it allows a parameterization of a linear variety of stabilizing controllers by a single scalar (cf. the root-locus technique), thus enabling control engineers to use effectively their intuition, experience and insight in controller design. Significantly, it may also be enable the new technique to be used for gain scheduling in nonlinear systems, allowing robust controllers to be designed over the full operating envelope.-it represents a significant breakthrough in algebraic Riccati equation theory, and promises to be fertile theoretical ground for the development of further flexible, robust and numerically sound techniques for control system design.
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Organisation Website:	http://www.rdg.ac.uk