Finite horizon full-state feedback kCC control in civil structures protection

摘要

The following study presents a finite horizon full-state feedback k-Cost-Cumulant (kCC) control problem, in which the objective function representing a linear combination of k cumulant indices of a finite time integral quadratic performance measure associated to a linear stochastic system, is minimized. A dynamic programming approach is used to obtain the optimal control solution. This control algorithm is then applied to the First Generation Structure Benchmark for Seismically Excited Buildings. Simulation results indicate that the kCC control has both performance and control design flexibility advantages when compared with popular control strategies in building protection.