Kleinman's controller: a further stabilizing property

The stabilization of a linear, multivariable discrete-time system via Kleinman's (1974) control law is considered. It is basically shown that this control law with iteration numbers N ≥ v (v being the controllability index of the system) asymptotically stabilizes the system considered.     

COMBINED HEAT AND MASS TRANSFER IN FREE CONVECTION ALONG A ROTATING PLATE UNDER UNIFORM HEAT AND UNIFORM MASS FLUXES

The problem of combined heat and mass transfer in laminar free convection along a vertically rotating plate subjected to a uniform heat flux and/or a uniform mass flux is studied analytically. The governing non-dimensional nonlinear coupled partial differential equations are solved by local similarity and local nonsimilarity approach. Numerical results for the local Nusselt number, the local Sherwood number and the local wall shear stress for the convective-diffusion of hydrogen, water vapor and naphthalene into the air are presented in tabular forms. The analysis extends the range both when the concentration buoyancy force assists as well as opposes the thermal buoyancy force.     

Analysis of flow around impermeable groynes on one side of symmetrical compound channel:An experimental study

This paper presents the results of an experimental study on the influences of floodplain impermeable groynes on flow structure,velocity,and water depth around the groyne(s).A wooden symmetrical compound channel was used.Groyne models with three different groyne relative lengths,0.5,0.75,and 1.0,were used on one floodplain with single and series arrangements.Analysis of the experimental results using the measured flow velocity and water depth values showed that flow structure,velocity,and water depth mainly depend on groyne relative length and the relative distance between series groynes.The flow velocity at the main channel eenterline increased by about 40%,60%,and 85%,and in other parts on the horizontal plane at the floodplain mid-water depth by about 75%,125%,and 175% of its original value in cases of one-side floodplain groyne(s)with relative lengths of 0.5,0.75,and 1.0,respectively.The effective distance between two groynes in series arrangement ranges from 3 to 4 times the groyne length.Using an impermeable groyne with a large relative length in river floodplains increases the generation of eddy and roller zones downstream of the groyne,leading to more scouring and deposition.To avoid that,the groyne relative length must be kept below half the floodplain width.