Multiobjective output-feedback control via LMI optimization

Abstract

This paper presents an overview of a linear matrix inequality (LMI) approach to the multiobjective synthesis of linear output-feedback controllers. The design objectives can be a mix of H 1 performance, H 2 performance, passivity, asymptotic disturbance rejection, time-domain constraints, and constraints on the closed-loop pole location. In addition, these objectives can be specified on different channels of the closed-loop system. When all objectives are formulated in terms of a common Lyapunov function, controller design amounts to solving a system of linear matrix inequalities. The validity of this approach is illustrated by a realistic design example.Index Terms-Controller parameter change, linear matrix inequalities, Lyapunov shaping paradigm, multichannel multiobjective control.

Entwurf robuster modellbasierter Fehlerisolationsfilter

“…An dieser Stelle werden die Erweiterungen in ausführlicherer Form diskutiert und die Herleitung des Verfahrens um Beweise ergänzt, die weder in [149] noch [225] geliefert wurden. Die durchgeführte Variablentransformation geht auf eine Idee aus [194] zurück, wo sie zum Entwurf dynamischer Ausgangsrückführungen herangezogen wurde.…”

Multi-Objective Control Design with Pole Placement Constraints for Wind Turbine System

“…The Lyapunov criteria involves searching for the matrix X, if it exists then the system is stable. A quadratic Lyapunov function is defined in (16) and its derivative in (17).…”

“…This is not as straight forward as for the state feedback case, where X = P −1 and F = FP −1 turn all constraints into LMIs. More details about the change of variables can be found in ( [17])…”

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