Flatness-based active disturbance rejection control for linear systems with unknown time-varying coefficients

References

• Amato, F., Ariola, M., & Cosentino, C. (2010). Finite-time stability of linear time-varying systems: Analysis and controller design. IEEE Transactions on Automatic Control, 55(4), 1003–1008.
   Web of Science ®Google Scholar
• Anderson, B.D.O., Ilchmann, A., & Wirth, F.R. (2013). Stabilizability of linear time-varying systems. Systems & Control Letters, 62(9), 747–755.
   Web of Science ®Google Scholar
• Bevrani, H., & Hiyama, T. (2008). Robust decentralized PI based LFC design for time delay power systems. Energy Conversion and Management, 49(2), 193–200.
   Web of Science ®Google Scholar
• Borges, R.A., Montagner, V.F., Oliveira, R.C.L.F., Peres, P.L.D., & Bliman, P.-A.. (2008). Parameter-dependent H2 and H1 filter design for linear systems with arbitrarily time-varying parameters in polytopic domains. Signal Processing, 88(7), 1801–1816.
   Web of Science ®Google Scholar
• Caldwell, T.M., & Murphey, T.D. (2012). Single integration optimization of linear time-varying switched systems. IEEE Transactions on Automatic Control, 57(6), 1592–1597.
   Web of Science ®Google Scholar
• Dong, L.-L., Zhang, Y., & Gao, Z.-Q. (2012). A robust decentralized load frequency controller for interconnected power systems. ISA Transactions, 51(3), 410–419.
   PubMed Web of Science ®Google Scholar
• Emre Tuna, S. (2010). Sufficient conditions on observability grammian for synchronization in arrays of coupled linear time-varying systems. IEEE Transactions on Automatic Control, 55(11), 2586–2590.
   Web of Science ®Google Scholar
• Feintuch, A. (2008). On strong stabilization for linear continuous time time-varying systems. Systems & Control Letters, 57(9), 691–695.
   Web of Science ®Google Scholar
• Fliess, M., & Join, C. (2013). Model free control. International Journal of Control, 86(3), 2228–2252.
   Web of Science ®Google Scholar
• Fliess, M., Levine, J., Martin, Ph., & Rouchon, P. (1995). Flatness and defect of nonlinear systems: Introductory theory and examples. International Journal of Control, 61(6), 1327–1361.
   Web of Science ®Google Scholar
• Gao, Z.-Q. (2003). Scaling and parameterization based controller tuning. In Proceeding of the American Control Conference (pp. 4989–4996). Denver, CO: IEEE.
   Google Scholar
• Gao, Z.-Q. (2014). On the centrality of disturbance rejection in automatic control. ISA Transactions, 53(4), 850–857.
   PubMed Web of Science ®Google Scholar
• Guo, B.-Z., & Jin, F.-F. (2013). The active disturbance rejection and sliding mode control approach to the stabilization of the Euler-Bernoulli beam equation with boundary input disturbance. Automatica, 49(9), 2911–2918.
   Web of Science ®Google Scholar
• Guo, B.-Z., & Zhao, Z. (2011). On the convergence of an extended state observer for nonlinear systems with uncertainty. Systems & Control Letters, 60, 420–430.
   Web of Science ®Google Scholar
• Guo, L., & Cao, S.-Y. (2014). Anti-disturbance control theory for systems with multiple disturbances: A survey. ISA Transactions, 53(4), 846–849.
   PubMed Web of Science ®Google Scholar
• Han, J. (2009). From PID to active disturbance rejection control. IEEE Transactions on Industrial Electronics, 56(3), 900–906.
   Web of Science ®Google Scholar
• Huang, C.-E, Li, D.-H., & Xue, Y.-L. (2013). Active disturbance rejection control for the ALSTOM gasifier benchmark problem. Control Engineering Practice, 21(4), 556–564.
   Web of Science ®Google Scholar
• Huang, Y., & Xue, W.-C. (2014). Active disturbance rejection control: Methodology and theoretical analysis. ISA Transactions, 53(4), 963–976.
   PubMed Web of Science ®Google Scholar
• Huang, Y., Xue, W.-C., & Zhao, C.-Z. (2011). Active disturbance rejection control methodology and theoretical analysis [ in Chinese]. Journal of Mathematical Sciences, 31(9), 1111–1129.
   Google Scholar
• Ibraheem I., Kumar, P., & Kothari, D.P. (2005). Recent philosophies of automatic generation control strategies in power systems. IEEE Transactions on Power Systems, 20(1), 346–357.
   Web of Science ®Google Scholar
• Jaleeli, N., Vanslyck, L.S., Ewart, D.N., Fink, L.H., & Hoffmann, A.G. (1992). Understanding automatic generation control. IEEE Transactions on Power Systems, 7(3), 1106–1122.
   Web of Science ®Google Scholar
• Juárez-Abad, J. A., Linares-Flores, J., Guzmán-Ramirez, E., & Sira-Ramírez, H. (2014). Generalized proportional integral tracking controller for a single phase multilevel cascade inverter: A FPGA implementation. IEEE Transactions on Industrial Informatics, 10(1), 256–266.
   Web of Science ®Google Scholar
• Khodabakhshian, A., & Hooshmand, R. (2010). A new PID controller design for automatic generation control of hydro power systems. Electrical Power and Energy Systems, 32(5), 375–382.
   Web of Science ®Google Scholar
• Khong, S.Z., & Cantoni, M. (2014). Gap metrics for time-varying linear systems in a continuous-time setting. Systems & Control Letters, 70, 118–126.
   Web of Science ®Google Scholar
• Kundur, P. (1994). Power system stability and control. New York, NY: McGraw-Hill.
   Google Scholar
• Li, D.-Z., Li, Z., & Gao, Z.-Q. (2014). Active disturbance rejection-based high precision temperature control of a semibatch emulsion polymerization reactor. Industrial & Engineering Chemistry Research, 53(8), 3210–3221.
   Web of Science ®Google Scholar
• Li, M.-D., Li, D.-H., Wang, J., & Zhao, C.-Z. (2013). Active disturbance rejection control for fractional-order system. ISA Transactions, 52(3), 365–374.
   PubMed Web of Science ®Google Scholar
• Li, X., & Liu, H.H.T. (2013). Characterization of index for linear time varying systems. Automatica, 49(5), 1449–1457.
   Web of Science ®Google Scholar
• Liu, L., & Lu, Y. (2014). Stabilizability, representations and factorizations for time-varying linear systems. Systems & Control Letters, 66, 58–64.
   Web of Science ®Google Scholar
• Marinescu, B., & Bourls, H. (2009). An intrinsic algebraic setting for poles and zeros of linear time-varying systems. Systems & Control Letters, 58(4), 248–253.
   Web of Science ®Google Scholar
• Marinescu, B., & Bourls, H. (2013). Quasi-poles of linear time-varying systems in an intrinsic algebraic approach. Systems & Control Letters, 62(7), 581–586.
   Web of Science ®Google Scholar
• Padhan, D.G., & Majhi, S. (2013). A new control scheme for PID load frequency controller of single-area and multi-area power systems. ISA Transactions, 52(2), 242–251.
   PubMed Web of Science ®Google Scholar
• Ramírez-Neria, M., Sira-Ramírez, H., Garrido-Moctezuma, R., & Luviano-Jurez, A. (2014). Linear active disturbance rejection control of underactuated systems: The case of the Furuta pendulum. ISA Transactions, 53(4), 920–928.
   PubMed Web of Science ®Google Scholar
• Ramírez-Neria, M., Sira-Ramírez, H., Rodrłguez-Angeles, A., & Luviano-Jurez, A. (2015). Active disturbance rejection control applied to a delta parallel robot in trajectory tracking tasks. Asian Journal of Control, 17(2), 112.
   Web of Science ®Google Scholar
• Rotella, F., & Zambettakis, I. (2013). On functional observers for linear time-varying systems. IEEE Transactions on Automatic Control, 58(5), 1354–1360.
   Web of Science ®Google Scholar
• Shayeghi, H., Shayanfar, H., & Jalili, A. (2009). Load frequency control strategies: A state-of-the-art survey for the researcher. Energy Conversion and Management, 50(2), 344–353.
   Web of Science ®Google Scholar
• Sira-Ramírez, H., García-Rodríguez, C., Cortés-Romero, J., & Luviano-Juárez, A. (2014). Algebraic identification and estimation methods in feedback control systems: Wiley series on dynamics and control of electromechanical systems. Chichester: Wiley.
   Google Scholar
• Sira-Ramírez, H., Linares-Flores, J., Graceła-Rodrłguez, C., Contreras-Ordaz, M.A. (2014). On the control of the permanent magnet synchronous motor: An active disturbance rejection control approach. IEEE Transactions on Control Systems Technology, 22(5), 2056–2063.
   Web of Science ®Google Scholar
• Sira-Ramírez, H., Luviano-Juarez, A., & Cortes-Romero, J. (2012). Flatness-based linear output feedback control for disturbance rejection and tracking tasks on a Chua's circuit. International Journal of Control, 85(5), 594–602.
   Web of Science ®Google Scholar
• Sun, D. (2007). Comments on active disturbance rejection control. IEEE Transactions on Industrial Electronics, 54(6), 3428–3429.
   Web of Science ®Google Scholar
• Sun, Z.-X., Zhang, Z., & Tsao, T.-C. (2009). Trajectory tracking and disturbance rejection for linear time-varying systems: Input/output representation. Systems & Control Letters, 58(6), 452–460.
   Web of Science ®Google Scholar
• Tan, W.(2009). Tuning of PID load frequency controller for power systems. Energy Conversion and Management, 50(6), 1465–1472.
   Web of Science ®Google Scholar
• Tan, W. (2010). Unified tuning of PID load frequency controller for power systems via IMC. IEEE Transactions on Power Systems, 25(1), 341–350.
   Web of Science ®Google Scholar
• Tan, W. (2011). Decentralized load frequency controller analysis and tuning for multi-area power systems. Energy Conversion and Management, 52(5), 2015–2023.
   Web of Science ®Google Scholar
• Vu, L., & Liberzon, D. (2011). Supervisory control of uncertain linear time varying systems. IEEE Transactions on Automatic Control, 56(1), 27–42.
   Web of Science ®Google Scholar
• Xie, H., Song, K., & He, Y. (2014). A hybrid disturbance rejection control solution for variable valve timing system of gasoline engines. ISA Transactions, 53(4), 889–898.
   PubMed Web of Science ®Google Scholar
• Xing, H.L., Jeon, J.H., Park, K.C., & Oh, I.K. (2013). Active disturbance rejection control for precise position tracking of ionic polymer-metal composite actuators. IEEE/ASME Transactions on Mechatronics, 18(1):86–95.
   Web of Science ®Google Scholar
• Yang, G.-H., & Ye, D. (2010). Robust H1dynamic output feedback control for linear time-varying uncertain systems via switching-type controllers. IET Control Theory & Applications, 4(1), 89–99.
   Web of Science ®Google Scholar
• Yu, T., & Yan, H. (2011). Simultaneous controller design for time-varying linear systems. Systems & Control Letters, 60(12), 1032–1037.
   Web of Science ®Google Scholar
• Zhao, D.-D., Zheng, Q., & Gao, F. (2014). Disturbance decoupling control of an ultra-high speed centrifugal compressor for the air management of fuel cell systems. International Journal of Hydrogen Energy, 39(4), 1788–1798.
   Web of Science ®Google Scholar