State-feedback control of LPV sampled-data systems

K. Tan and K. M. Grigoriadis

Mathematical Problems in Engineering, 2000, vol. 6, 1-26

Abstract:

In this paper, we address the analysis and the state-feedback synthesis problems for linear parameter-varying (LPV) sampled-data control systems. We assume that the state-space data of the plant and the sampling interval depend on parameters that are measurable in real-time and vary in a compact set with bounded variation rates. We explore criteria such as the stability, the energy-to-energy gain (induced L 2 norm) and the energy-to-peak gain (induced L 2 -to- L ∞ norm) of such sampled-data LPV systems using parameter-dependent Lyapunov functions. Based on these analysis results, the sampled-data state-feedback control synthesis problems are examined. Both analysis and synthesis conditions are formulated in terms of linear matrix inequalities that can be solved via efficient interior-point algorithms.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:347693

DOI: 10.1155/S1024123X00001307

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