Delayed System Control in Presence of Magnitude and Rate Saturation
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This paper deals with the problem of controlling linear systems in the case where control input represents saturation constraint. According to these constraints the rate as well as the magnitude of the control input are not allowed to exceed given values. A saturated regulator is designed by the pole placement technique and shown to ensure the following performances:
a) for any bounded reference signal, all the closed-loop signals are globally bounded,
b) in the case of a constant reference sequence, which is compatible with the constraints, one has:
i) The input magnitude and rate stop saturating asymptotically and
ii) the output tracking error tends asymptotically to zero.
A sufficient condition to achieve these performances is to attribute the poles of the closed loop within a well defined neighborhood of the system poles which, for this reason, has to be stable
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Tarbouriech S., Garcia G., Glattfelder A.H., “Advanced strategies in control systems with input and output constraints”, LNCIS, Vol. 346, Springer, 2007.
Sipahi R., S.I. Niculescu, C.T. Abdallah, W. Michiels, K. Gu, “Stability and stabilisation of systems with time-delay”. IEEE Control Systems Magazine, vol. 31 (Issue 1), pp. 38-65, 2011.
Shen J.C., F.C. Kung, “Stabilization of input-delay systems with saturating actuator”, Int. J. Control vol. 50 (Issue 5), pp 1667–1680, 1989
Kulkarni V.V., S.K. Bohacek, M.G. Safonov, “Robustness of interconnected systems with controller saturation and bounded delays”, ACC, USA, pp 3206–3210, 1999
Lee B., J.G. Lee, “Robust control of uncertain systems with input delay and input sector nonlinearity”, IEEE CDC, Australia, pp 4430–4435, 2000
Mazenc F., Mondié S., Niculescu S.I., “Global asymptotic stabilization for chains of integrators with a delay in the input”, IEEE Trans. Auto. Control, vol. 48 (Issue 1), pp 57–63, 2003.
Van Assche V., Lafay J. -F., Loiseau J. J. “Feedback realization of non-singular precompensators for linear systems over a polynomial ring”, International Journal of Systems Science, vol. 34, (Issues 8 & 9), pp 523–528, 2003.
Loiseau J.-J. “Algebraic tools for the control and stabilization of time-delay systems”, Annual Reviews in Control, vol. 24, pp 135-149, 2000.
Vidyasagar M., Nonlinear Systems Analysis (SIAM, PA, 2002).
Goodwin G.C., Graebe S. and Salgado M., Control System Design (Prentice-Hall, 2000).
Park J.K., C.H. Choi, H. Choo, “Dynamic anti-windup method for a class of time-delay control systems with input saturation”, Int. J. Robust and Nonlinear Control, vol. 10, pp 457–488, 2000.
Giri F., F.Z. Chaoui, E. Chater, J.B. Gning “Constrained Control of Continuous-Time Minimum -Phase Systems Global Output Reference Tracking Results”, European Control Conference, Budapest, 2009.
Giri F., V. Van Assche, A. Mahjoub, F.-Z. Chaoui. “Output reference tracking of input-delayed systems in presence of actuator saturation”, IFAC Symp. Systems Structure and Control, Ancona, Italy, June 2010.
Tarbouriech S., Gomes J.M. da Silva Jr., G. Garcia. “Delay dependent anti-windup loops for enlarging the stability region of time delay systems with saturating inputs”. ASME J. Dynam. Syst., Measurement Control, vol. 125, pp 265–267, 2003.
Tarbouriech S. and Gomes da Silva Jr. J. M. “Synthesis of controllers for continuous-time delay systems with saturating controls via lmi’s”. IEEE Trans. Auto. Contr., Vol.45 (Issue 1), pp 105–111, 2000.
Liberzon D. “Quantization, time delays, and nonlinear stabilization”. IEEE Trans. Auto. Control, vol. 51 (Issue 7), pp 1190–1195, 2006.
Fridman E. and M. Dambrine. “Control under quantization, saturation and delay: An LMI approach”. Automatica, vol. 45, pp 2258–2264, 2009.
Zaccarian L., D. Nešic, A.R. Teel. “L2 anti-windup for linear dead-time systems”, Systems & Control Letters, vol. 54, pp 1205–1217, 2005.
Zhou B., Zheng W.X., Duan G.R., “Stability and stabilization of discrete-time periodic linear systems with actuator saturation”, Automatica Vol. 47, pp1813–1820, 2011.
Kapasouris P. and M. Athans, “Control systems with rate and magnitude saturation for neutrally stable open loop systems”, Proc. of the 29th Conference on Decision and Control, pp3404-3409, Honolulu, Hawaii, December 1990.
Lin, Z., “semi-global stabilization of linear systems with position and rate limited actuators”, Proc. American Control Conference, Vol. 2, pp 1-11, 1997.
Dai D., T. Hu, A. R. Teel and L. Zaccarian, “Output feedback design for saturated linear plants using dead zone loop”, Automatica, Vol. 45 (Issue 9), pp 2917-2924, 2009.
Moudjahed, M., Boudiaf, M., Performance evaluation of IPFC using fuzzy logic controller for power system stabilization, (2012) International Review of Automatic Control (IREACO), 5 (5), pp. 599-605.
Sundeep, S., Madhusudhana Rao, G., Sankar Ram, B.V., An ANN control of maximum power point tracking for grid connected wind machines, (2014) International Review of Automatic Control (IREACO), 7 (1), pp. 52-59.
Vozak, D., Vesely, V., Stable predictive control with input constraints based on variable gain approach, (2014) International Review of Automatic Control (IREACO), 7 (2), pp. 131-139.
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