LMI Robust Control of PWM Converters: An Output-Feedback Approach

In book: Recent Advances in Robust Control - Theory and Applications in Robotics and Electromechanics
Source: InTech
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    ABSTRACT: This note describes a new framework for the analysis and synthesis of control systems, which constitutes a genuine continuous-time extension of results that are only available in discrete time. In contrast to earlier results the proposed methods involve a specific transformation on the Lyapunov variables and a reciprocal variant of the projection lemma, in addition to the classical linearizing transformations on the controller data. For a wide range of problems including robust analysis and synthesis, multichannel H<sub>2</sub> stateand output-feedback syntheses, the approach leads to potentially less conservative linear matrix inequality (LMI) characterizations. This comes from the fact that the technical restriction of using a single Lyapunov function is to some extent ruled out in this new approach. Moreover, the approach offers new potentials for problems that cannot be handled using earlier techniques. An important instance is the eigenstructure assignment problem blended with Lyapunov-type constraints which is given a simple and tractable formulation
    IEEE Transactions on Automatic Control 01/2002; · 2.72 Impact Factor
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    ABSTRACT: This paper proposes a systematic approach for the pole assignment in a disk for continuous or discrete-time linear systems by a static output control law. It is shown that if the open-loop system satisfies some particular structural conditions, a static output feedback gain can be easily computed, using a formula that involves only the original system matrices and the parameters defining the disk. Among the conditions the system has to satisfy, the strongest one relies on a minimum phase argument. Square and non square, proper or non proper systems are considered. The main results are derived invoking the limiting behavior of the optimal linear quadratic regulator for discrete-time systems. Some other implications are also presented.
    American Control Conference, 2003. Proceedings of the 2003; 07/2003

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