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Original Articles

Finite horizon optimal hybrid reference control for improving transient response of feedback control systems

Pages 1814-1829 | Received 04 Jun 2011, Accepted 04 Nov 2012, Published online: 21 Jan 2013

References

  • Anderson, B.D.O., and Moore, J.B. (1990), Optimal Control: Linear Quadratic Methods, Englewood Cliffs, NJ: Prentice-Hall Inc.
  • Bainov, D.D., and Simeonov, P.S. (1989), Systems With Impulse Effect: Stability, Theory and Applications, Chichester: Ellis Horwood Limited.
  • Bemporad, A., Casavola, A., and Mosca, E. (1997), ‘Nonlinear Control of Constrained Linear Systems via Predictive Reference Management’,  IEEE Transactions on Automatic Control, 42(3), 340–349.
  • Bemporad, A., and Mosca, E. (1998), ‘Fulfilling Hard Constraints in Uncertain Linear Systems by Reference Managing’, Automatica, 34(4), 451–461.
  • Branicky, M.S., Borkar, V.S., and Mitter, S.K. (1998), ‘A Unified Framework for Hybrid Control: Model and Optimal Control Theory’, IEEE Transactions on Automatic Control, 43(1), 31–45.
  • Brockett, R.W. (1993), ‘Hybrid Models for Motion Control Systems’, Perspectives in Control, eds. H. Trentelman and J.C. Willems, Boston, MA: Birkhäuser, pp. 29–54.
  • Byrnes, C.I., and Isidori, A. (2003), ‘Limit Sets, Zero Dynamics, and Internal Models in the Problem of Nonlinear Output Regulation’, IEEE Transactions on Automatic Control, 48(10), 1712–1723.
  • Chen, C.T. (1984), Linear System Theory and Design, Japan: Holt-Saunders International Editions.
  • Fletcher, R. (2000), Practical Methods of Optimization: Constrained Optimization, (2nd ed.), Great Britain: John Wiley & Sons.
  • Flores, J.V., da Silva Gomes, J.M., Jr., and Sbarbaro, D. (2009), ‘Robust Periodic Reference Tracking for Uncertain Linear Systems Subject to Control Saturations’, Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, pp. 7960–7965.
  • Francis, B.A., and Wonham, W.M. (1976), ‘The Internal Model Principle of Control Theory’, Automatica, 12, 457–465.
  • Franklin, G.F., Powell, J.D., and Emami-Naeni, A. (1986), Feedback Control of Dynamics Systems (2nd ed.), Reading, MA: Addison-Wesley Pub. Co.
  • Galeni, S., Menini, L., and Potini, A. (2008), ‘Trajectory Tracking in Linear Hybrid Systems: An Internal Model Principle Approach’, Proceeding of the 2008 American Control Conference, pp. 4627–4632.
  • Gilbert, E., Kolmanovsky, I., and Tan, K.T. (1995), ‘Discrete-Time Reference Governors and the Nonlinear Control of Systems With State and Control Constraints’, International Journal of Robust and Nonlinear Control, 5, 487–504.
  • Gilbert, E., and Tan, K.T. (1991), ‘Linear Systems With State and Control Constraints: The Theory and Application of Maximal Output Admissible Sets’, IEEE Transactions on Automatic Control, 36(9), 1008–1020.
  • Graham, D., and Lathrop, R.C. (1953), ‘The Synthesis of Optimum Response: Criteria and Standard’, Transactions of the American Institute of Electrical Engineers, Part II, 72, 273–288.
  • Halanai, A., and Wexler, D. (1968), Qualitative Theory of Impulsive Systems, Bucuresti: Editura Academiei Republici Soc. Romania (‘Mir’, Moscow 1971).
  • Hanus, R., Kinnaert, M., and Henrotte, J.L. (1987), ‘Conditioning Technique, A General Anti Windup and Bumpless Transfer Method’, Automatica, 23, 729–739.
  • Hara, S. (1987), ‘Parametrization of Stabilizing Controller for Multivariable Servo Systems With Two Degree of Freedom’, International Journal of Control, 45(3), 779–790.
  • Hara, S., and Sugie, T. (1988), ‘Independent Parametrization of Two-Degree-of-Freedom Compensator in General Robust Tracking Systems’,  IEEE Transactions on Automatic Control, 33(1), 59–67.
  • Hijab, O. (1987), Stabilization of Control Systems, New York: Springer-Verlag.
  • Hippe, P. (2006), ‘Windup Prevention for Stable and Unstable MIMO Systems’, International Journal of Systems Science, 37(2), 67–78.
  • Horowitz, I.M. (1963), Synthesis of Feedback Systems, New York: Academic Press.
  • Joelianto, E. (2003), ‘Linear Impulsive Differential Equations for Hybrid Systems Modeling’, in Proceedings of the IEE European Control Conference (ECC), pp. 1--5.
  • Joelianto, E., and Anura, D.C. (2011), ‘Transient Response Improvement of PID Controller Using ANFIS-Hybrid Reference Control’, Proceedings of the 2nd International Conference on Instrumentation, Control and Automation (ICA), pp. 292–297.
  • Joelianto, E., and Sitanggang, P. (2009), ‘A Substractive Clustering Based Fuzzy Hybrid Reference Control Design for Transient Response Improvement of PID Controller’, ITB Journal of Engineering Science, 41(2), 167–186.
  • Joelianto, E., and Williamson, D. (1997), ‘Discrete Event Reference Control’, Proceedings of the 36th IEEE Conference Decision Control, pp. 692–697.
  • Joelianto, E., and Williamson, D. (1998a), ‘Observer Based Hybrid Reference Control’, in Proceedings of the 37th IEEE Conference on Decision and Control, pp. 4296–4301.
  • Joelianto, E., and Williamson, D. (1998b), ‘Optimal Full State Hybrid Reference Control’, Mathematical Theory of Networks and Systems, eds. A. Beghi, L. Finesso, and G. Picci, Padova, Italy: Il Poligrafo, pp. 941–944.
  • Joelianto, E., and Williamson, D. (1998c), ‘Stability of Impulsive Dynamical Systems’, Proceedings of the 37th IEEE Conference on Decision and Control, pp. 3717–3722.
  • Joelianto, E., and Williamson, D. (2003), ‘Discrete Time Stability of Hybrid Systems Modelled by Linear Impulsive Systems’, in Proceedings of the European Control Conference (ECC), pp. 1--5.
  • Joelianto, E., and Williamson, D. (2009), ‘Transient Response Improvement of Feedback Control Systems Using Hybrid Reference Control’, International Journal of Control, 81(10), 1955–1970.
  • Kim, J.H., Kim, K.C., and Chong, E.K.P. (1994), ‘Fuzzy Precompensated PID Controllers’, IEEE Transactions on Control Systems Technology, 2(4), 406–411.
  • Kogiso, K., and Hirata, K. (2009), ‘Reference Governor for Constrained Systems With Time-Varying References’, Robotics and Autonomous Systems, 57(3), 289–295.
  • Lakshmikantham, V., Bainov, D.D., and Simeonov, P.S. (1989), Theory of Impulsive Differential Equations, Singapore: World Scientific.
  • Laksmikantham, V., and Devi, J.V. (2006), ‘Hybrid Systems With Time Scale and Impulses’, Nonlinear Analysis, 65(11), 2147–2152.
  • Limebeer, D.J.N., Kasenally, E.M., and Perkins, J.D. (1993), ‘On the Design of Robust Two-Degree-of-Freedom Controller’, Automatica, 29(1), 157–168.
  • Lin, Z. (1998), Low Gain Feedback, LNCI No. 240, New York: Springer.
  • Lunze, J. (1988), Robust Multivariable Feedback Control, London: Prentice-Hall Inc.
  • MacFarlane, A.G.J. (1965), ‘Functional-Matrix Theory for the General Electrical Network: Part 2. The General Functional’, Proceedings of the IEE, 112(4), 763–770.
  • Mil’man, V.D., and Myshkis, A.D. (1963), ‘Random Impulses in Linear Dynamical Systems (in Russian)’, Approximate Methods of Solution of Differential Equations, Kiev: Publishing House of the Academy of Sciences of Ukrainian SSR, pp. 64–81.
  • Oh, J.H., Kim, H.S., and Cho, Y.M. (2008), ‘Adaptive Reference Governor for Constrained Linear Systems’, Journal of Mechanical Science and Technology, 22(1), 61–69.
  • Peng, Y., Vrancic, D., and Hanus, R. (1996), ‘Anti-Windup, Bumpless, and Conditioned Transfer Techniques for PID Controllers’, IEEE Control Systems Magazine, 16(4), 48–57.
  • Pratumsuwan, P., and Thongchai, S. (2009), ‘A Two-Layered Fuzzy Logic Controller for Proportional Hydraulic System’, Proceedings of the 4th IEEE International Conference on Industrial Electronic and Applications (ICIEA), pp. 2778–2781.
  • Pratumsuwan, P., and Thongchaisuratkrul, C. (2011), ‘Pre-compensation for a Hybrid Fuzzy PID Control of a Proportional Hydraulic System’, PID Control, Implementation and Tuning, ed. T. Mansour, Croatia: Intech, pp. 201–216.
  • Qu, Z., and Dawson, D.M. (1996), Robust Tracking Control of Robot Manipulators, New York: IEEE Press, Inc.
  • Rönnbäck, S. (1993), ‘Linear Control of Systems With Actuator Constraints’, Sweden: Lulea University of Technology.
  • Sandor, J., and Williamson, D. (1977), ‘Design of Nonlinear Regulators for Linear Plant’, IEEE Transactions on Automatic Control, 22, 47–50.
  • Serrani, A., Isidori, A., and Marconi, A. (2001), ‘Semiglobal Nonlinear Output Regulation With Adaptive Internal Model’, IEEE Transactions on Automatic Control, 46(8), 1178–1194.
  • Sontag, E.D. (1990), Mathematical Control Theory: Deterministic Finite Dimensional Systems, New York: Springer-Verlag.
  • Sugie, T., and Yoshikawa, T. (1986), ‘General Solution of Robust Tracking Problem in Two-Degree-of-Freedom Control Systems’, IEEE Transactions on Automatic Control, 31(6), 552–554.
  • Vidyasagar, M. (1985), Control System Synthesis: A Factorization Approach, Cambridge, MA: M.I.T. Press.
  • Vidyasagar, M. (19993), Nonlinear Systems Analysis, (2nd ed.), Singapore: Prentice-Hall International Inc.
  • Walgama, K.S., Rönnbäck, S., and Sternby, J. (1992), ‘Generalisation of Conditioning Technique for Anti-Windup Compensators’, Proceeding IEE, Part-D. Control Theory and Applications, 139(2), 109–118.
  • Williamson, D., and de Wit, C.C. (1993), ‘Performance-Oriented Robust Control for Rigid Robot Manipulators’, Proceedings of the 32nd IEEE Conference on Decision and Control, pp. 2143–2148.
  • Yasuda, Y., Mano, S.I., and Crotty, S.S. (1990), ‘A PID Controller With Overshoot Suppression Algorithm’, Proceedings of the Instrument Society of America International Conference (ISA-90), pp. 1849–1857.
  • Ye, H., Michel, A.N., and Antsaklis, P.J. (1995), ‘A General Model for the Qualitative Analysis of Hybrid Dynamical Systems’, Proceedings of the 34th IEEE Conference on Decision and Control, pp. 1473–1477.
  • Youla, D.C., and Bongiorno Jr., J.J. (1985), ‘A Feedback Theory of Two-Degree-of-Freedom Optimal Wiener– Hopf Design’, IEEE Transactions on Automatic Control, 30(7), 652–665.
  • Yuz, J.I., and Salgado, M.E. (2003), ‘From Classical to State-Feedback-Based Controller’, IEEE Control Systems Magazine, 23(4), 58–67.

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