Pub Date : 2024-09-02DOI: 10.1140/epjs/s11734-024-01302-3
M. Karuppusamy, V. M. Revathi
This paper examines the challenge of designing (H_infty) filters for continuous systems with varying time delays. The filter design incorporates potential variations in gain due to implementation inaccuracies. The new delay-dependent (H_infty) performance is derived by using a novel Lyapunov–Krasovskii functional (LKF) and by employing novel free weighting matrices. The paper establishes existence of (H_infty) filters in terms of linear matrix inequality (LMI). To demonstrate the proposed method’s effectiveness, apply it to a vertical take-off and landing (VTOL) helicopter system in the numerical section.
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Pub Date : 2024-08-30DOI: 10.1140/epjs/s11734-024-01250-y
Konstanse Kvalem Seljelid, Osvaldo Trigueiro Neto, Andrew Ndubuisi Akanno, Bruno Telli Ceccato, Rini Padinjakkara Ravindranathan, Namrah Azmi, Leide P. Cavalcanti, Ingebret Fjelde, Kenneth Dahl Knudsen, Jon Otto Fossum
Silica gels have a multitude of applications ranging from cosmetics and food science to oil and gas recovery. For proper design and application, it is important to have a thorough understanding of the underlying mechanisms of gel formation under different circumstances. The growth and structure of colloidal silica gels has been investigated using RheoSAXS to study the effect of silica concentration, NaCl concentration, temperature and shear rate. Additionally, SAXS in combination with a strong magnetic field has been applied to investigate the effect of magnetic microparticles and magnetic field on the development of the gel structure. Results indicate that the strongest effect on the gel kinetics are achieved by altering the activator concentration, here in the form of NaCl, followed by silica concentration and temperature. Small structural effects were also observed, with larger cluster sizes being produced at lower silica concentration and at higher NaCl concentration. Applying shear caused major changes both in structure as well as the macroscopic behavior of the silica, preventing the gel from reaching an arrested state, instead forming a viscous liquid. Applying a magnetic field appears to suppress the formation of larger clusters. The same effect is observed for increasing magnetic microparticle concentrations.