A Mathematical Framework for Structural Control Integration

Abstract

Abstract. In this paper, some control strategies to design decentralized controllers are developed and discussed. These strategies are based on the Inclusion Principle, a very useful mathematical framework to obtain decentralized controllers, mainly when the systems are composed by overlapped subsystems sharing common parts. A five-story building model serves as example to show the advantages provided by this approach. Numerical simulations are conducted to assess the performance of the proposed control laws with positive results.

Technical Note: Active and Semi-Active Strategies to Control Building Structures Under Large Earthquake Motion

“…Moreover, decentralized controllers depend only on information regarding the local states for control command calculation and therefore, they can be more appealing due to the lower cost of implementing a decentralized communication network. Decentralized strategies have been proposed for large-scale linear building structures using LQG control algorithms [Lei et al, 2012;Wang, 2011]; instantaneous optimal control with limited measurements of structural absolute acceleration responses [Lei et al, 2013]; H ∞ control schemes [Li et al, 2011a;Wang, 2011]; and the Inclusion Principle [Rossell et al, 2013]. Results of these numerical simulations of building structures subjected to earthquake excitation, demonstrate that, in general, the decentralized control algorithm exhibits better control performance compared with the conventional centralized control approach.…”