A New LMI Approach to Analysis of Linear Systems Depending on Scheduling Parameter in Polynomial Forms
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T. Azuma
This paper proposes a new LMI approach to analysis of linear systems depending on scheduling parameter in polynomial forms: we first propose a method to reduce the parameter dependent LMI condition, which characterizes internal stability and L2 gain, to the finite number of LMI conditions by introducing a convex polyhedron which includes a polynomial curve parameterized by scheduling parameter; next we propose a systematic procedure to construct the convex polyhedron. Our approach enable us to analyze L2 gain of linear systems with scheduling parameter in polynomial forms through computation of the finite number of LMIs. To show efficacy of our approach, we finally make a numerical experiment of L2 gain analysis for a gasturbine engine model which is described as a linear system with a scheduling parameter in polynomial form of two degree.
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- A New LMI Approach to Analysis of Linear Systems Depending on Scheduling Parameter in Polynomial Forms
Articles in the same Issue
- Objektorientierte Modellierung Physikalischer Systeme, Teil 12 (Object-Oriented Modeling of Physical Systems, Part 12)
- Some Aspects of Switching Control in Robot Locomotion
- Regelungsstrategien für den Straßenverkehr: Vergangenheit, Gegenwart und Zukunft (Control Strategies for Road Traffic: Past, Present, and Future)
- Using Control and Systems Theoretic Concepts to Set Prices of Goods and Services in Competitive Markets
- Visuelles Laserradar zur 3D Erfassung und Modellierung Realer Umgebungen (Visual laser radar for 3D Surveying and Modelling of Real World Environments)
- Innenlärmminderung bei Helikoptern durch aktive Körperschallisolation (Helicopter Interior Noise Reduction by Active Vibration Isolation)
- A New LMI Approach to Analysis of Linear Systems Depending on Scheduling Parameter in Polynomial Forms
