MB3 Robust Control

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Robust Design with Stability Preserving Maps

Authors:

Djaferis E. T., University of Massachusetts, USA

ABSTRACT

It has recently been shown that matrix Stability Preserving Maps (SPMs) play an important role in robust stabilization. They can be used to provide a different characterization for the existence of a fixed order controller that robustly stabilizes a plant family. Not only do these maps give a different perspective into the problem, but, stability preserving map tests have been developed that form the basis of robust controller design procedures. Results have been reported for plant families that either consist of a finite number of systems or can be expressed by transfer function models that. involve real parameter uncertainty. In this paper we develop additional stability preserving map tests. We also demonstrate how these tests lead to robust stabilization techniques and apply the methodology to a number of examples.

Key Words. Linear systems, stability, robust design

mb3-1

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A Hoo design procedure for position tacking control of current-fed induction motors

Authors:

Chiaverini Stefano, Universita degli Studi di Cassino, Italy

Fusco Giuseppe, Universita degli Studi di Cassino, Italy

ABSTRACT

This paper deals with robust stability analysis of polynomials where uncertain coefficients are polynomic functions of the second order of interval parameters. The method consists in determination of a convex hull overbounding the value set of such a family and using Zero Exclusion Theorem. An arbitrary stability region can be chosen. Presented method states only sufficient condition of robust stability due to nonconvexity of the value set. Both computational and graphical way of using this method are possible. The computational efficiency of presented method and more general method based on Sign-decomposition is compared.

mb3-2

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Robust Stability of Polynomials with Polynomic Structure of Coefficients

Authors:

Husek P., Czech Technical University, Czech Republic

Dvorakova R. - Czech Technical University, Czech Republic

ABSTRACT

A robust controller, facilitating roll aircraft manoeuvres without affecting the respective sideslip attitude, is designed for the case of the lateral motion of an aircraft with actuator failure. To handle the issue the robust input output triangular decoupling technique is applied to the lateral motion dynamics of the aircraft. The condition under which the problem is solvable via state feedback appears to be generically true . The general form of the robust static decoupling controllers, as well as the general form of the resulting triangular decoupled closed loop system, are derived. Simulation are derived for a four engined executive jet aircraft.

Keywords. robust stability, polynomials, polynomic uncertainty, value set

mb3-3

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Robust Control of the Lateral Motion of an Aircraft with Actuator Failure

Authors:

Skarpetis M., University of Thessaly, Greece

Koumboulis F., University of Thessaly, Greece

ABSTRACT

Abstract. A robust controller, facilitating roll aircraft manoeuvres without affecting the respective sideslip attitude, is designed for the case of the lateral motion of an aircraft with actuator failure. To handle the issue the robust input output triangular decoupling technique is applied to the lateral motion dynamics of the aircraft. The condition under which the problem is solvable via state feedback appears to be generically true . The general form of the robust static decoupling controllers, as well as the general form of the resulting triangular decoupled closed loop system, are derived. Simulation are derived for a four engined executive jet aircraft.

Key Words. Actuator failure, Flight Control, Robust Control, I/O Triangular Decoupling.

mb3-4

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