Predictive instantaneous optimal control of inelastic structures based on ground velocity

Abstract

One of the challenges confronting structural engineers in structural control is to find more efficient control algorithms to ensure better and more reliable control results to protect structures against the damaging effects of destructive environmental forces. In this paper, a simple control algorithm, namely the Predictive Instantaneous Optimal Control (PIOC) algorithm, is proposed by introducing a new state space form. Different from the classical ground acceleration-based control algorithms, this new control algorithm uses earthquake ground velocity as the input. Since the earthquake ground velocity is not at high frequency as compared with the ground acceleration, it can be predicted at certain time steps beforehand in real-time domain with higher accuracy. This ensures the synchronous execution of the proposed PIOC algorithm with real-time application of the control force. To capture the damaging effects during earthquake ground motions, the force analogy method is used to characterize structures responding in the inelastic domain. Numerical studies are performed to compare the structural response with and without control using both single degree of freedom and multi-degree of freedom structural models. Results show that the PIOC algorithm is effective in reducing the structural response under earthquake excitation.

Mass irregularity effect on seismic response of moment‐resisting steel frame by nonlinear time history analysis using force analogy method

“…Incorporating geometric nonlinearity using stability functions approach in FAM allows better performance in predicting large deformation accurately than other linearized methods (e.g., P-Δ and geometric stiffness approaches) (see Wong and Wong and Speicher 16,17 ). In literature, FAM algorithm has been used in various research areas, namely, reinforced concrete members/structures, 10,18,19 steel frame structures, [20][21][22] and energy-based analysis. [23][24][25] F I G U R E 1 Ten-storey moment-resisting steel frame Basic concept of FAM is briefly explained herein (see Figure 2), where f S (t) is the lateral force excited on a single-degree-of-freedom (SDOF) system, and x(t) and m S (t) are the lateral deformation and support moment, respectively (see Figure 2a).…”

Analysis of Mid-Rise Moment Resisting Steel Frames by Nonlinear Time History Analysis using Force Analogy Method

“…In a case study, the computational time has been found to reduce by 70% using FAM than that of TMSD (SAP2000) [32]. In the literature, FAM has been used for the structural analysis of reinforced concrete members/structures [33][34][35], structural steel frames [36][37][38][39], energy-based seismic analysis [40][41][42].…”

Hybrid tracking controller with attached tuned mass damper

“…, Aldemir et al . , Pang and Wong , and Ho and Ma . Recently, frequency domain techniques were introduced for optimality problems and proved to be an effective approach in the design of the controllers for seismic‐excited and wind‐excited buildings.…”

“…Acknowledging this problem, Yang et al [18] developed an optimal algorithm in which at any time instant t, the earthquake record, which is available up to time t through measurement, is used. This new instantaneous optimal control algorithm is further improved by Yang et al [19,20], Aldemir et al [21,22], Pang and Wong [23], and Ho and Ma [24]. Recently, frequency domain techniques were introduced for optimality problems and proved to be an effective approach in the design of the controllers for seismic-excited and wind-excited buildings.…”