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Delay-dependent stability analysis and mathcal {H}_{infty } control for LPV systems with parameter-varying state delays |
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| Authors: | Minsong Zhang Fu Chen |
| Affiliation: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing?, 210094, Jiangsu, People’s Republic of China 3. School of Mathematics and Computer Science, Hubei University of Arts and Science, Xiangyang?, 441053, Hubei, People’s Republic of China 2. School of Mathematics and Computer Science, Datong University, Datong, 037009, Shanxi, People’s Republic of China |
| Abstract: | This paper develops the stability analysis and delay-dependent (mathcal {H}_{infty }) control synthesis for linear parameter-varying (LPV) systems with time-varying state delays. On the basis of the Finsler’s lemma, sufficient conditions on (mathcal {H}_{infty }) performance analysis are formulated in terms of parameterized linear matrix inequalities. The interesting annihilator matrix is constituted by time-varying parameters of LPV systems to reduce the conservatism. A numerical example is presented to confirm the efficiency of the proposed method. |
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