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Stability analysis and observer design for neutral delay systems
Copyright [2002] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to [email protected]. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.This paper deals with the observer design problem for a class of linear delay systems of the neutral-type. The problem addressed is that of designing a full-order observer that guarantees the exponential stability of the error dynamic system. An effective algebraic matrix equation approach is developed to solve this problem. In particular, both the observer analysis and design problems are investigated. By using the singular value decomposition technique and the generalized inverse theory, sufficient conditions for a neutral-type delay system to be exponentially stable are first established. Then, an explicit expression of the desired observers is derived in terms of some free parameters. Furthermore, an illustrative example is used to demonstrate the validity of the proposed design procedur
Controllable forms for stabilising pole assignment design of generalised bilinear systems
Bilinear structures are able to represent nonlinear phenomena more accurately than linear models, and thereby help to extend the range of satisfactory control performance. However, closed loop characteristics are typically designed by simulation and stability is not guaranteed. In this reported work, it is shown how bilinear systems are a special case of the more general state dependent parameter (SDP) model, which can subsequently be utilised to design stabilising feedback controllers using a special form of nonlinear pole assignment. To establish the link, however, an important generalisation of the SDP pole assignment method is developed
Developing student expertise in scientific inquiry
The role of developing student expertise in scientific inquiry often falls on laboratory work. Domin’s taxonomy of laboratory instruction styles has been expanded with more detailed scrutiny of inquiry instruction. The most common form of laboratory teaching is the confirmation style where students follow recipes to reproduce known results in a straight-forward and resource-efficient manner. This style achieves few pedagogic goals of laboratory education and inquiry-based instruction is better suited to the acquisition of the skills, methodology, and procedures of scientific inquiry. A guided inquiry instruction style improves on the confirmation style by reinforcing the point of the experimental work, even though students will still to follow-the-recipe where they can. Tutor support is needed when students apply what they know about the scientific method to an experiment design task. In the absence of support, students are unable to engage in scientific inquiry. With extensive support even novices can design and carry out good experiment work. Advice for and examples of the implementation of inquiry are provided to help the reader do this in their own teaching
Remedies Available to the Purchaser of a Defective Used Car
Remedies Available to the Purchaser of a Defective Used Ca
What Attorneys Should Know about the Fair Debt Collection Practices Act, or, the 2 Do\u27s and the 200 Don\u27ts of Debt Collection
What Attorneys Should Know About the Fair Debt Collection Practices Act, or, The 2 Do\u27s and the 200 Don\u27ts of Debt Collectio
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