Decentralized LQG Control for Adaptive High-Rise Structures

Warsewa, Alexander; Wagner, Julia L.; Böhm, Michael; Sawodny, Oliver; Tarín, Cristina

doi:10.1016/j.ifacol.2020.12.2154

Cited by 8 publications

(4 citation statements)

References 12 publications

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“…Theorem 1 (see [31]). If u(k) � GZ(k) is a guaranteed cost control law with performance matrix P for system (15) and performance index (18), then the closed-loop system…”

Section: Guaranteed Cost Control Methods For Discrete-time Systemsmentioning

confidence: 99%

“…Theorem 2 (see [31]). For system (15) and performance index (18), if the following optimization problem…”

Section: Guaranteed Cost Control Methods For Discrete-time Systemsmentioning

confidence: 99%

“…is the optimal quadratic guaranteed cost control law of system (15), and the corresponding upper bound of system performance is J * � Trace(X − 1 opt ).…”

Section: Guaranteed Cost Control Methods For Discrete-time Systemsmentioning

confidence: 99%

“…Although it can obtain good control effects, there are also disadvantages such as long feedback time and poor stability of the system. erefore, the decentralized control strategy is with the advantages of fast data transmission and less feedback delay and strong system reliability received extensive attention from researchers [12][13][14][15]. Liu et al [16] proposed decentralized state feedback control based on substructure (S-DSFC) algorithm.…”

Section: Introductionmentioning

confidence: 99%

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Overlapping Decentralized Guaranteed Cost Control Method for Discrete-Time Systems of Building Structures with Uncertain Parameters under Earthquake Action

Zhen

Man

et al. 2022

Mathematical Problems in Engineering

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This paper proposes a discrete-time overlapping decentralized guaranteed cost control algorithm via state feedback. Based on the inclusion principle, a structure system is decoupled into multiple subsystems, and the discretized subsystems’ controllers are designed by using the guaranteed cost control algorithm. Finally, the subsystems’ controllers are contracted into overlapping controllers of the original system, and the design of the control system is completed. This control method is introduced to the civil engineering field to solve the seismic control problem for discrete-time systems of building structures with uncertain parameters. The numerical analysis of the nine-story building structure model with uncertain parameters is carried out. The results show that the proposed control method can still effectively reduce the seismic response of discrete-time system when the structural parameters are uncertain, and the control effect is similar to the centralized control strategy; at the same time, the sampling rate and data transmission speed of the system are improved to ensure the reliability of the system. It illustrates the feasibility and effectiveness of the presented approach.

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“…Theorem 1 (see [31]). If u(k) � GZ(k) is a guaranteed cost control law with performance matrix P for system (15) and performance index (18), then the closed-loop system…”

Section: Guaranteed Cost Control Methods For Discrete-time Systemsmentioning

confidence: 99%

“…Theorem 2 (see [31]). For system (15) and performance index (18), if the following optimization problem…”

Section: Guaranteed Cost Control Methods For Discrete-time Systemsmentioning

confidence: 99%

“…is the optimal quadratic guaranteed cost control law of system (15), and the corresponding upper bound of system performance is J * � Trace(X − 1 opt ).…”

Section: Guaranteed Cost Control Methods For Discrete-time Systemsmentioning

confidence: 99%