On Poly-Quadratic Stabilizability and Detectability of Polytopic LPV Systems
T.J. Meijer, V.S. Dolk, W.P.M.H. Heemels
TL;DR
This paper extends Lyapunov-based stabilizability and detectability tests from LTI systems to polytopic LPV systems using poly-quadratic Lyapunov functions, broadening analysis tools for complex systems.
Contribution
It introduces generalized tests for stabilizability and detectability of polytopic LPV systems using poly-quadratic Lyapunov functions, enhancing existing methods.
Findings
Generalization of Lyapunov-based tests to LPV systems
Use of poly-quadratic Lyapunov functions for stability analysis
Applicable to discrete-time systems with parameter variations
Abstract
In this technical communique, we generalize the well-known Lyapunov-based stabilizability and detectability tests for discrete-time linear time-invariant systems to polytopic linear parameter-varying systems using the class of so-called poly-quadratic Lyapunov functions.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Mathematical Control Systems and Analysis · Control Systems and Identification