Dust grain growth and settling time inside initial gaseous giant protoplanets in the mass range 0.3 to 5 Jovian masses, formed by gravitational instability, have been investigated. We have determined the distribution of thermodynamic and physical variables inside the protoplanets solving the structure equations assuming their gas blobs to be fully convective and with this distribution we have c...

In this contribution, a new approach for teaching digital controllers for finite settling time and deadbeat response is proposed. Essential concepts of deadbeat control are revised and shorted in order to simplify the teaching. The approach is base on a constructivist instructional model, which is supported by wellknown pedagogical tools as the learning cycle, the sandwich structure and the por...

1389 with u(w; s) = jwj1u(^ w; s) where ^ w = w=jwj1. For any w 2 R 2 and s 2 f0; 1g; jz(w;s)j 1 6jwj 1. We now turn our attention to signals w(k) 2 l n 1 and w(t) 2 L n 1 , and to distinguish them from vectors in R n we will use boldface type.

Continuous homogeneous controllers are utilized in a full state feedback setting for the uniform finite time stabilization of a perturbed double integrator in the presence of uniformly decaying piecewise continuous disturbances. Semiglobal strong C1 Lyapunov functions are identified to establish uniform asymptotic stability of the closed-loop planar system. Uniform finite time stability is then...

This paper deals with the design ripple-free deadbeat controllers for sampled-data systems. Given a prescribed settling time, the design problem is tackled by computing a ripple-free deadbeat controller that optimizes an H2 performance criterion. This criterion accounts for the quality of the tracking response and for the control energy necessary to achieve the deadbeat behavior. Our main resul...

In this paper, a novel non-smooth robust control approach is presented for robotic manipulators. By using decimal power rule in Lyapunov redesign methods, the conventional robust control for robot is improved. Our approach can achieve higher control precision with faster convergence speed. The formulations of estimating residual set and settling time have been initially established. The practic...