SpringerLink
Log in

Investigation of the Robust H-Infinity Filter's Effectiveness on the Model Predictive Control and Linear Quadratic Regulator for Active Seismic Control of High-Rise Buildings

  • Research Paper
  • Published:
Iranian Journal of Science and Technology, Transactions of Civil Engineering Aims and scope Submit manuscript

Abstract

Model predictive control (MPC) strategy uses the current state of a system model to predict its future behavior in a finite-time horizon. This method minimizes an objective function, utilizing a prediction model to access control forces. Another control method is the discrete-time, finite-horizon linear quadratic regulator (LQR). This approach is defined with a second-order performance index by applying appropriate weights. While these classical control approaches have been successful in solving some control problems, the existence of difficulties such as uncertainties (uncertainties governing the process equation and the structure of state sensors), as well as actuator saturation can disrupt the operation of structural systems. Therefore, a developed control scheme is proposed for both control methods. The proposed approaches are MPC and LQR based on the H-Infinity (H∞) filter, which also considers actuator saturation in the structure. In the H∞ filter algorithm, the designer chooses a performance bound (θ) for estimating structural responses. Then, the effectiveness of the proposed methods has been assessed numerically using a benchmark 20-story steel building equipped with an Active Tuned Mass Damper on the roof under near and far field earthquakes. Based on numerical simulations, the proposed control processes reduced structural responses to an acceptable level. Moreover, ten performance indices were used to evaluate the proposed methods. It has been found that the average values of the performance indices for the proposed MPC were found to be 14.07%, 19.76%, 12.33%, and 12.79% higher than the classical MPC for the El Centro, Hachinohe, Kobe, and Northridge earthquakes, respectively. Also, it has been concluded that average values of the performance indices in the proposed LQR method are, respectively, 6.78%, 7.67%, 10.64%, and 7.74%, more than its conventional case for El Centro, Hachinohe, Kobe, and Northridge earthquakes. Thus, the results demonstrate that the proposed methods are effective in improving accuracy in conventional cases under earthquakes, as well as maintaining a descending trend in structural response. Moreover, it can be concluded that while the studied MPC strategies reduce the seismic responses to a more satisfactory level than the studied LQR approaches, the LQR methods had more acceptable results in the Hachinohe earthquake.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18

Similar content being viewed by others

References

  • Alavinasab A, Moharrami H, Khajepour A (2006) Active control of structures using energy-based LQR method. Comput Aided Civ Infrastruct Eng 21(8):605–611

    Google Scholar 

  • Aldemir U, Bakioglu M (2001) Active structural control based on the prediction and degree of stability. J Sound Vib 247(4):561–576

    Google Scholar 

  • Amini F, Tavassoli MR (2005) Optimal structural active control force, number and placement of controllers. Eng Struct 27(9):1306–1316

    Google Scholar 

  • Amini F, Hazaveh NK, Rad AA (2013) Wavelet PSO-based LQR algorithm for optimal structural control using active tuned mass dampers. Comput Aided Civ Infrastruct Eng 28(7):542–557

    Google Scholar 

  • Banavar RN (1992) A game theoretic approach to linear dynamic estimation. The University of Texas at Austin, New York

    Google Scholar 

  • Basu B, Nagarajaiah S (2008) A wavelet-based time-varying adaptive LQR algorithm for structural control. Eng Struct 30(9):2470–2477

    Google Scholar 

  • Camacho EF, Alba CB (2013) Model predictive control. Springer, Berlin

    Google Scholar 

  • Cao Y-Y, Lin Z, Ward DG (2002) An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation. IEEE Trans Autom Control 47(1):140–145

    MathSciNet  Google Scholar 

  • Carvalho L, Neto JR, Rezende JC, Costa MV, Fortes EV, Macedo LH (2023a) Linear quadratic regulator design via metaheuristics applied to the dam** of low-frequency oscillations in power systems. ISA Trans 134:322–335

    Google Scholar 

  • Carvalho L, Costa MV, Macedo LH, Fortes EV (2023b) A novel approach for robust model predictive control applied to switched linear systems through state and output feedback. J Franklin Inst 360(2):1184–1206

    MathSciNet  Google Scholar 

  • Chen C (2002) Nonlinear control of a 20-story steel building with activepiezoelectric friction dampers. Struct Eng Mech Int J 14(6):21–38

    Google Scholar 

  • Datta T (2003) A state-of-the-art review on active control of structures. ISET J Earthq Technol 40(1):1–17

    MathSciNet  Google Scholar 

  • Elseaidy WM, Baugh JW, Cleaveland R (1996) Verification of an active control system using temporal process algebra. Eng Comput 12(1):46–61

    Google Scholar 

  • Grandhi RV (1990) Optimum design of space structures with active and passive dam**. Eng Comput 6(3):177–183

    Google Scholar 

  • Hadi MN, Uz ME (2015) Investigating the optimal passive and active vibration controls of adjacent buildings based on performance indices using genetic algorithms. Eng Optim 47(2):265–286

    MathSciNet  Google Scholar 

  • Katebi J, Rad AB, Zand JP (2022) A novel multi-feature model predictive control framework for seismically excited high-rise buildings. Struct Eng Mech 83(4):537–549

    Google Scholar 

  • Khazaei M, Vahdani R, Kheyroddin A (2020) Optimal location of multiple tuned mass dampers in regular and irregular tall steel buildings plan. Shock Vib 2020:1–20

    Google Scholar 

  • Khodabandehlou H, Pekcan G, Fadali MS, Salem MM (2018) Active neural predictive control of seismically isolated structures. Struct Control Health Monit 25(1):e2061

    Google Scholar 

  • Kim B, Washington GN, Yoon H-S (2013) Active vibration suppression of a 1D piezoelectric bimorph structure using model predictive sliding mode control. Smart Struct Syst 11(6):623–635

    Google Scholar 

  • Kothare MV, Campo PJ, Morari M, Nett CN (1994) A unified framework for the study of anti-windup designs. Automatica 30(12):1869–1883

    MathSciNet  Google Scholar 

  • Kumar G, Kumar A, Jakka RS (2018) An adaptive LQR controller based on PSO and maximum predominant frequency approach for semi-active control scheme using MR damper. Mechanics & Industry 19(1):109

    Google Scholar 

  • Labarre D, Grivel E, Najim M, Christov N (2007) Dual ${H}_{\infty}$ algorithms for signal processing—application to speech enhancement. IEEE Trans Signal Process 55(11):5195–5208

    MathSciNet  Google Scholar 

  • Lam VTT, Sattar A, Wang L, Lazar M (2020) Fast hildreth-based model predictive control of roll angle for a fixed-wing uav. IFAC-PapersOnLine 53(2):5757–5763

    Google Scholar 

  • Mare JB, De Doná JA (2007) Solution of the input-constrained LQR problem using dynamic programming. Syst Control Lett 56(5):342–348

    MathSciNet  Google Scholar 

  • Mei G, Kareem A, Kantor JC (2001) Real-time model predictive control of structures under earthquakes. Earthq Eng Struct Dyn 30(7):995–1019

    Google Scholar 

  • Mei G, Kareem A, Kantor JC (2004) Model predictive control of wind-excited building: benchmark study. J Eng Mech 130(4):459–465

    Google Scholar 

  • Miah M, Chatzi E, Weber F (2013) Semi-active control of structural systems with uncertainties using an unscented Kalman filter. In: Research and applications in structural engineering, mechanics and computation. CRC Press, Boca Raton

  • Miyamoto K, She J, Sato D, Yasuo N (2018) Automatic determination of LQR weighting matrices for active structural control. Eng Struct 174:308–321

    Google Scholar 

  • Nemra A, Aouf N (2009) Robust airborne 3D visual simultaneous localization and map** with observability and consistency analysis. J Intell Rob Syst 55(4):345–376

    Google Scholar 

  • Ohtori Y, Christenson R, Spencer B Jr, Dyke S (2004) Benchmark control problems for seismically excited nonlinear buildings. J Eng Mech 130(4):366–385

    Google Scholar 

  • Peng H, Li F, Zhang S, Chen B (2017) A novel fast model predictive control with actuator saturation for large-scale structures. Comput Struct 187:35–49

    Google Scholar 

  • Pourzeynali S, Mousanejad T (2010) Optimization of semi-active control of seismically excited buildings using genetic algorithms. Sci Iran 17(1):26–38

    Google Scholar 

  • Preumont A, Seto K (2008) Active control of structures. Wiley, New York

    Google Scholar 

  • Rad AB, Nouri M, Katebi J, Ghasemi SAM (2021) A developed model predictive control scheme for vibration attenuation of building structures. Smart Struct Syst 27(4):691–703

    Google Scholar 

  • Simon D (2006) Optimal state estimation: Kalman, H infinity, and nonlinear approaches. Wiley, New York

    Google Scholar 

  • Spencer B Jr, Dyke S, Deoskar H (1998a) Benchmark problems in structural control: part I—active mass driver system. Earthq Eng Struct Dyn 27(11):1127–1139

    Google Scholar 

  • Spencer B Jr, Dyke S, Deoskar H (1998b) Benchmark problems in structural control: part II—active tendon system. Earthq Eng Struct Dyn 27(11):1141–1147

    Google Scholar 

  • Van Nguyen Q, Fatahi B, Hokmabadi AS (2016) Influence of shallow foundation characteristics on seismic response of mid-rise buildings subjected to strong earthquakes. In: GEO, p 117

  • Vikalo H, Hassibi B, Erdogan AT, Kailath T (2005) On robust signal reconstruction in noisy filter banks. Signal Process 85(1):1–14

    Google Scholar 

  • Wang L (2009) Model predictive control system design and implementation using MATLAB®. Springer, Berlin

    Google Scholar 

  • Xu L-H, Li Z-X (2011) Model predictive control strategies for protection of structures during earthquakes. Struct Eng Mech Int J 40(2):233–243

    Google Scholar 

  • Yan X, Xu Z-D, Shi Q-X (2020) Fuzzy neural network control algorithm for asymmetric building structure with active tuned mass damper. J Vib Control 26(21–22):2037–2049

    MathSciNet  Google Scholar 

  • Zizouni K, Fali L, Sadek Y, Bousserhane IK (2019) Neural network control for earthquake structural vibration reduction using MRD. Front Struct Civ Eng 13(5):1171–1182

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

    Mohsen Azizpour, Reza Raoufi & Ehsan Kazeminezhad

Authors
  1. Mohsen Azizpour
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Reza Raoufi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ehsan Kazeminezhad
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Reza Raoufi.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Azizpour, M., Raoufi, R. & Kazeminezhad, E. Investigation of the Robust H-Infinity Filter's Effectiveness on the Model Predictive Control and Linear Quadratic Regulator for Active Seismic Control of High-Rise Buildings. Iran J Sci Technol Trans Civ Eng 48, 923–941 (2024). https://doi.org/10.1007/s40996-023-01216-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40996-023-01216-5

Keywords

Search

Navigation