Discrete-time ℋ_∞ control for nonlinear polynomial systems

References

• Aliyu, M. D. S. 2011. Nonlinear ℋ_∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations. Boca Raton, FL: CRC Press.
   Google Scholar
• Assawinchaichote, W., S. K. Nguang, and P. Shi. 2004. “ℋ∞ Output Feedback Control Design for Uncertain Fuzzy Singularly Perturbed Systems: An LMI Approach.” Automatica 40 (12): 2147–2152.
   Web of Science ®Google Scholar
• Basin, M. V. 2008. New Trends in Optimal Filtering and Control for Polynomial and Time-Delay Systems. Berlin: Springer.
   Google Scholar
• Basin, M. V., P. Shi, and D. Calderon-Alvarez. 2008. “Central Suboptimal ℋ∞ Control Design for Nonlinear Polynomial Systems.” International Journal of Systems Science 42 (5): 801–808.
   Web of Science ®Google Scholar
• Boukas, E. K., and Z. K. Liu. 2002. Deterministic and Stochastic Time Delay Systems. Boston: Birkhäuser.
   Google Scholar
• Burl, J. F. 1999. Linear Optimal Control. ℋ₂ and ℋ_∞ Methods. Menlo Park, CA: Addison-Wesley.
   Google Scholar
• Cao, S. G., N. W. Rees, and G. Feng. 2000. “ℋ∞ Control of Nonlinear Discrete-time Systems Based on Dynamical Fuzzy Models.” International Journal of Systems Science 31 (2): 229–241.
   Web of Science ®Google Scholar
• Chen, B., X. Liu, C. Lin, and K. Liu. 2009. “Robust ℋ∞ Control of Takagi–Sugeno Fuzzy Systems with State and Input Time Delays.” Fuzzy Sets and Systems 160 (4): 403–422.
   Web of Science ®Google Scholar
• Chen, J. X., W. D. Yang, and Y. G. Sun. 2013. “ℋ∞ control of Looper-tension Control Systems Based on a Discrete-time Model.” Journal of Iron and Steel Research, International 20 (10): 28–31.
   Web of Science ®Google Scholar
• Doyle, J. C., K. Glover, P. P. Khargonekar, and B. A. Francis. 1989. “State-space Solutions to Standard ℋ2 and ℋ∞ Control Problems.” IEEE Transactions on Automatic Control 34 (8): 831–846.
   Web of Science ®Google Scholar
• Feng, G., S. G. Cao, and N. W. Rees. 1996. “An Approach to ℋ∞ Control of a Class of Nonlinear Systems.” Automatica 32 (10): 1469–1474.
   Web of Science ®Google Scholar
• Hernandez-Gonzalez, M., and M. V. Basin. 2014. “Discrete-time Optimal Control for Stochastic Nonlinear Polynomial Systems.” International Journal of General Systems 43 (3–4): 359–371.
   Web of Science ®Google Scholar
• Kang, W., P. K. De, and A. Isidori. 1992. “Flight Control in a Windshear via Nonlinear ℋ∞ Methods.” In Proceedings of the 31st IEEE Conference on Decision and Control, 1135–1142, Tucson, Arizona, December 16–18.
   Google Scholar
• Khargonekar, P. P., I. R. Petersen, and M. A. Rotea. 1988. “ℋ∞-optimal Control with State-feedback.” IEEE Transactions on Automatic Control 33 (8): 786–788.
   Web of Science ®Google Scholar
• Kim, J. H., and F. L. Lewis. 2010. “Model-free ℋ∞ Control Design for Unknown Linear Discrete-time Systems via Q-learning with LMI.” Automatica 46 (8): 1320–1326.
   Web of Science ®Google Scholar
• Kirk, D. E. 1998. Optimal Control Theory. An Introduction. Mineola, New York: Dover Publications.
   Google Scholar
• Kwakernaak, H., and R. Sivan. 1972. Linear Optimal Control Systems. New York: Wiley.
   Google Scholar
• Li, W., and Y. Jia. 2010. “ℋ∞ Filtering for a Class of Nonlinear Discrete-time Systems Based on Unscented Transform.” Signal Processing 90 (12): 3301–3307.
   Web of Science ®Google Scholar
• Li, L., and W. Wang. 2012. “Fuzzy Modeling and ℋ∞ Control for General 2D Nonlinear Systems.” Fuzzy Sets and Systems 207: 1–26.
   Web of Science ®Google Scholar
• Liu, H., F. Sun, and Y. Hu. 2005. “ℋ∞ Control for Fuzzy Singularly Perturbed Systems.” Fuzzy Sets and Systems 155 (2): 272–291.
   Web of Science ®Google Scholar
• Saat, S., D. Huang, and S. K. Nguang. 2013. “Nonlinear State Feedback Control for a Class of Polynomial Nonlinear Discrete-time Systems with Norm-bounded Uncertainties: An Integrator Approach.” Journal of the Franklin Institute – Engineering and Applied Mathematics 350 (7): 1739–1752.
   Web of Science ®Google Scholar
• Saat, S., S. K. Nguang, A. M. Darsono, and N. Azman. 2014. “Nonlinear ℋ∞ Feedback Control with Integrator for Polynomial Discrete-time Systems.” Journal of the Franklin Institute 351 (8): 4023–4038.
   Web of Science ®Google Scholar
• Saat, S., S. K. Nguang, C. M. Lin, and Z. Zakaria. 2014. “Robust Nonlinear ℋ∞ State Feedback Control of Polynomial Discrete-time Systems: An Integrator Approach.” Circuits, Systems, and Signal Processing 33 (2): 331–346.
   Web of Science ®Google Scholar
• Song, Y., J. Fan, M. Fei, and T. Yang. 2008. “Robust ℋ∞ Control of Discrete Switched System with Time Delay.” Applied Mathematics and Computation 205 (1): 159–169.
   Web of Science ®Google Scholar
• Stout, W. L., and M. E. Sawan. 1992. “Application of ℋ∞ Theory to Robot Manipulator Control.” In First IEEE Conference on Control Applications, 148–153. Dayton, OH, September 13–16.
   Google Scholar
• Wang, Z., D. W. C. Ho, Y. Liu, and X. Liu. 2009. “Robust ℋ∞ Control for a Class of Nonlinear Discrete Time-delay Stochastic Systems with Missing Measurements.” Automatica 45 (3): 684–691.
   Web of Science ®Google Scholar
• Zhou, K., J. C. Doyle, and K. Glover. 1995. Robust and Optimal Control. Englewood Cliffs, NJ: Prentice Hall.
   Google Scholar