This paper proposes a method to obtain a discrete-time LPV (Linear Parameter Varying) controller for a non-linear system represented with the LFT (Linear Fractional Transformation) framework. This synthesis can be integrated into a loop-shaping/LPV approach to obtain a discrete gain-scheduled control law. A detailed application of this method is here performed with a classical example of non-li...

Clinical Enzymology Enzymes nomenclature, classification, structure and specificity Enzymes, isoenzymes and their relevance in diagnosis Regulation of enzyme levels in serum and plasma Selection of enzyme tests Measurement of isoenzymes and isoforms Some important enzymes in clinical practice Aspartate transaminase (AST) and Alanine transaminase (ALT) Creatine Kinase (CK) Lactate dehydrogenase ...

Fault detection and fault isolation for systems including parametric faults is considered in this paper. By using a linear fractional transformation (LFT) description of parametric fault systems, the systems are transformed into equivalent systems including additive fault signals instead. The theory for systems including additive faults is extended to handle the parametric fault case in the sam...

In this paper, we solve the robust H2 synthesis problem for linear fractional transformation (LFT) systems affected by white noise disturbances. Using an intermediate matrix, we develop robust and gain-scheduling control synthesis conditions in linear matrix inequality (LMI) forms. The newly proposed robust H2 control approach has been applied to several examples, and demonstrated less conserva...

The notion of linear finite transducer (LFT) plays a crucial role in some cryptographic systems. In this paper we present a way to get an approximate value, by random sampling, for the number of non-equivalent injective LFTs. By introducing a recurrence relation to count canonical LFTs, we show how to estimate the percentage of τ -injective LFTs. Several experimental results are presented, whic...

This paper presents the solution to the mixed synthesis problem, and how to design gain scheduling controllers with linear fractional transformations (LFTs). The system is assumed to have a parameter dependences described by LFTs The goal of the controller is, with real-time knowledge of the parameters, to provide disturbance and error attenuation. The paper treats both complex and real paramet...

μ-analysis has for many years been the de facto standard robustness analysis tool in a wide variety of control applications. To use μ-analysis, the uncertain system must be cast in the form of a linear fractional transformation (LFT). Once it is appropriately transformed, a variety of algorithms are available to calculate the upper and the lower bounds on μ. Several difficulties arise during th...

REPEATED PARAMETRIC UNCERTAINTIES K. B. Lim , D. P. Giesyy NASA Langley Research Center, MS 161, Hampton, Virginia, 23681-0001 Abstract A new methodology in which linear fractional transformation uncertainty bounds are directly constructed for use in robust control design and analysis is proposed. Existence conditions for model validating solutions with or without repeated scalar uncertainty ar...

In this paper, the robust H2 and H∞ filter design problems are considered, where the uncertainties, unstructured or structured, are norm bounded and represented by linear fractional transformation (LFT). The main result is that after upper-bounding the objectives, the problems of minimizing the upper bounds are converted to finite dimensional convex optimization problems involving linear matrix...