Multiobjective optimization applied to robust /spl Hscr//sub 2///spl Hscr//sub /spl infin// state-feedback control synthesis

Author(s):  
E.N. Goncalves ◽  
R.M. Palhares ◽  
R.H.C. Takahashi
2008 ◽  
Vol 5 (2) ◽  
pp. 301-308 ◽  
Author(s):  
Guang-Hong Yang ◽  
Jian Liang Wang ◽  
Yeng Chai Soh ◽  
Kok-Yong Lou

2000 ◽  
Vol 6 (2-3) ◽  
pp. 145-170 ◽  
Author(s):  
K. Tan ◽  
K. M. Grigoriadis

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 (inducedL2norm) and the energy-to-peak gain (inducedL2-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.


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