Sliding Mode Control and Geometrization Conjecture in Seismic Response

Abstract

The purpose of this paper is to study the sliding mode control as a Ricci flow process in the context of a three-story building structure subjected to seismic waves. The stability conditions result from two Lyapunov functions, the first associated with slipping in a finite period of time and the second with convergence of trajectories to the desired state. Simulation results show that the Ricci flow control leads to minimization of the displacements of the floors.

Experimental Analysis of a Fuzzy Scheme against a Robust Controller for a Proton Exchange Membrane Fuel Cell System

“…The mechanics of this controller is as follows: u eq aims to move the states to an equilibrium point by establishing the condition ṡ = 0, which is the origin of a phase plane [43]. As it is expected that the states will move through time, then the u sw intention is to force the states to stay in the sliding surface [44,45]. The latter is defined in Equation ( 9) as a first-order discontinuous expression where K is a parameter to be tuned and high values can increase the response time in exchange for strong oscillations that may induce hardware damage [22]:…”