Robust control of multi-input periodic discrete-time systems with saturating actuators

References

• Antsaklis, P., & Michel, A. (2006). Linear systems. Boston: Birkhauser.
   Google Scholar
• Arcara, P., Bittanti, S., & Lovera, M. (2000). Periodic control of helicopter rotors for attenuation of vibrations in forward flight. IEEE Transactions on Control Systems Technology, 8, 883–894.
   Web of Science ®Google Scholar
• Bittanti, S., & Colaneri, P. (1996). Analysis of discrete-time linear periodic systems. Control and Dynamics Systems, 78, 313–339.
   Google Scholar
• Bittanti, S., & Colaneri, P. (2002). Companion forms and cyclic matrices for discrete-time periodic systems. Proceedings of the 15th World Congress, vol. 15 (pp. 198–198).
   Google Scholar
• Bittanti, S., & Colaneri, P. (2008). Periodic systems: Filtering and control. London: Springer Verlag.
   Google Scholar
• Bolzern, P., Colaneri, P., & Scattolini, R. (1986). Zeros of discrete-time linear periodic systems. IEEE Transactions on Automatic Control, 31, 1057–1058.
   Web of Science ®Google Scholar
• Cao, Y., & Lin, Z. (2003). Stability analysis of discrete-time systems with actuator saturation by a saturation-dependent Lyapunov function. Automatica, 39, 1235–1241.
   Web of Science ®Google Scholar
• Cao, Y., Lin, Z., & Ward, D. (2002). An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation. IEEE Transactions on Automatic Control, 47, 140–145.
   Web of Science ®Google Scholar
• Choi, J. (1999). On the stabilization of linear discrete-time systems subject to input saturation. Systems and Control Letters, 36, 241–244.
   Web of Science ®Google Scholar
• Choi, J. (2001). On the constrained asymptotic stabilizability of unstable linear discrete time systems via linear feedback. Proceedings of the 2001 American Control Conference, vol. 6 (pp. 4926–4929).
   Google Scholar
• Colaneri, P., Kucera, V., & Longhi, S. (2003). Polynomial approach to the control of SISO periodic systems subject to input constraints. Automatica, 39, 1417–1424.
   Web of Science ®Google Scholar
• Corradini, M.L., Cristofaro, A., & Orlando, G. (2008). On the robust stabilization of discrete-time SISO plants with saturating actuators. Proceedings of the 47th IEEE Conference on Decision and Control (pp. 1599–1604).
   Google Scholar
• Corradini, M., Cristofaro, A., & Orlando, G. (2010). Robust stabilization of multi input plants with saturating actuators. IEEE Transactions on Automatic Control, AC-55, 419–425.
   Web of Science ®Google Scholar
• Corradini, M.L., & Orlando, G. (2007). Linear unstable plants with saturating actuators: Robust stabilization by a time varying sliding surface. Automatica, 43, 88–94.
   Web of Science ®Google Scholar
• Emelyanov, S., Korovin, S., & Mamedov, I. (1995). Variable structure control systems: Discrete and digital. Moscow: Mir Publishers.
   Google Scholar
• Evans, D. (1972). Finite-dimensional realizations of discrete-time weighting patterns. SIAM Journal on Applied Mathematics, 22, 45–67.
   Web of Science ®Google Scholar
• Fang, H., & Lin, Z. (2006). Global practical stabilization of planar linear systems in the presence of actuator saturation and input additive disturbance. IEEE Transactions on Automatic Control, AC-51, 1177–1184.
   Web of Science ®Google Scholar
• Farges, C., Peaucelle, D., Arzelier, D., & Daafouz, J. (2007). Robust H2 performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs. Systems & Control Letters, 56, 159–166.
   Web of Science ®Google Scholar
• Gao, W., Wang, Y., & Homaifa, A. (1995). Discrete-time variable structure control systems. IEEE Transactions on Industrial Electronics, 42, 117–122.
   Web of Science ®Google Scholar
• Gomez Da Silva, J., & Tarbouriech, S. (2001). Local stabilization of discrete-time linear systems with saturating controls: An LMI approach. IEEE Transactions on Automatic Control, AC-46, 119–125.
   Web of Science ®Google Scholar
• Gondhalekar, R., & Jones, C.N. (2009). Model predictive control of linear periodic systems - a unified framework including control of multirate and multiplexed systems. Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference (pp. 6351–6358).
   Google Scholar
• Grasselli, O., & Longhi, S. (1988). Zeros and poles of linear periodic multivariable discrete-time systems. Circuits, Systems, and Signal Processing, 7, 361–380.
   Web of Science ®Google Scholar
• Han, H., Park, J., & Lee, B. (1997). Analysis of Thyristor controlled series comppensator dynamics using the state variable approach of a periodic system model. IEEE Transactoin od Power Delivery, 12, 1744–1750.
   Web of Science ®Google Scholar
• Hindi, H., & Boyd, S. (1998). Analysis of linear systems with saturating inputs using convex optimization. Proceedings of the 37th IEEE Conference on Decision and Control, vol. 1 (pp. 903–908).
   Google Scholar
• Hou, P., Saberi, A., & Lin, Z. (1997). On lp-stabilization of strictly unstable discrete-timelinear systems with saturating actuators. Proceedings of the 36th IEEE Conference on Decision and Control, vol. 5 (pp. 4510–4515).
   Google Scholar
• Hu, T., & Lin, Z. (2000). Semiglobal stabilization with guaranteed regional performance of linear systems subject to actuator saturation. Proceedings of the 2000 American Control Conference, vol. 6 (pp. 4388–4392).
   Google Scholar
• Hu, T., Lin, Z., & Chen, B. (2002). Analysis and design for discrete-time linear systems subject to actuator saturation. Systems and Control Letters, 45, 97–112.
   Web of Science ®Google Scholar
• Hu, T., Lin, Z., & Qiu, L. (2001). Stabilization of exponentially unstable linear systems with saturating actuators. IEEE Transactions on Automatic Control, AC-46, 973–979.
   Web of Science ®Google Scholar
• Kono, M. (1980). Eigenvalue assignment in linear periodic discrete-time systems. International Journal of Control, 32, 149–158.
   Web of Science ®Google Scholar
• Lin, Z. (1997). Robust semi-global stabilization of linear systems with imperfect actuators. Systems and Control Letters, 29, 215–221.
   Web of Science ®Google Scholar
• Lin, Z., & Saberi, A. (1993). Semi-global exponential stabilization of linear systems subject to input saturation via linear feedbacks. Systems and Control Letters, 21, 225–239.
   Web of Science ®Google Scholar
• Lin, Z., & Saberi, A. (1995). Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. Systems and Control Letters, 24, 125–132.
   Web of Science ®Google Scholar
• Lovera, M., De Marchi, E., & Bittanti, S. (2002). Periodic attitude control techniques for small satellites with magnetic actuators. IEEE Transactions on Control Systems Technology, 10, 90–95.
   Web of Science ®Google Scholar
• Michel, A., Hou, L., & Liu, D. (2008). Stability of dynamical systems. Boston: Birkhauser.
   Google Scholar
• Pittet, C., Tambouriech, S., & Burgat, C. (1997). Stability regions for linear systems with saturating controls via circle and Popov criteria. Proceedings of the 36th IEEE Conference Decision Control, vol. 5 (pp. 4518–4523).
   Google Scholar
• Rugh, W. (1993). Linear system theory. Upper Saddle River, New Jersey: Prentice-Hall.
   Google Scholar
• Saberi, A., Han, J., & Stoorvogel, A.A. (2002). Constrained stabilization problems for linear plants. Automatica, 38, 639–654.
   Web of Science ®Google Scholar
• Teel, A. (1995). Semiglobal stabilization of linear null controllable systems with input nonlinearities. IEEE Transactions on Automatic Control, AC-40, 96–100.
   Web of Science ®Google Scholar
• Tregouet, J.F., Arzelier, D., Peaucelle, D., Ebihara, Y., Pittet, C., and Falcoz, A. (2011). Periodic H2 synthesis for spacecraft attitude control with magnetorquers and reaction wheels. 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) (pp. 6876–6881).
   Google Scholar
• Utkin, V. (1992). Sliding modes in control optimization. Berlin: Springer Verlag.
   Google Scholar
• Varga, A. (2000). Robust and minimum norm pole assignment with periodic state feedback. IEEE Transactions on Automatic Control, 45, 1017–1022.
   Web of Science ®Google Scholar
• Wang, Y., Cao, Y.Y., Li, S., & Sun, Y. (2006). Robust stability analysis and disturbance rejection for discrete-time systems with constraints. Proceedings of the American Control Conference (pp. 4547–4551).
   Google Scholar
• Zhang, P., Ding, S., Wang, G., & Zhou, D. (2005). Fault detection of linear discrete-time periodic systems. IEEE Transactions on Automatic Control, 50, 239–244.
   Web of Science ®Google Scholar
• Zhou, B., Duan, G.R., & Lin, Z. (2010). A parametric periodic Lyapunov equation with application in semi-global stabilization of discrete-time periodic systems subject to actuator saturation. Proceedings of the American Control Conference (pp. 4265–4270). Baltimore, MD.
   Google Scholar
• Zuo, Z., Jia, Z., Wang, Y., Zhao, H., & Zhang, G. (2008). Guaranteed cost control for discrete-time uncertain systems with saturating actuators. Proceedings of the American Control Conference (pp. 3632–3637).
   Google Scholar