Quadratic stabilization of distributed parameter systems with norm-bounded time-vaying uncerainty

• Autores: Fengsheng Tu, Wanyi Chen
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 3, 1997, págs. 253-264
• Idioma: inglés
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• Resumen

  • This note focuses on the study of robust $H_\infty$ control design for a kind of distributed parameter systems in which time-varying norm-bounded uncertainty enters the state and input operators. Through a fixed Lyapunov function, we present a state feedback control which stabilizes the plant and guarantees an $H_\infty$ norm bound on disturbance attenuation for all admissible uncertainties. In the process, we generalize some known results for finite dimensional linear systems.