Robust and resilient state-dependent control of continuous-time nonlinear systems with general performance criteria

REFERENCES

• Basar, T., & Bernhard, P. (1995). H-infinity optimal control and related minimax design problems – A dynamic game approach. (2nd ed.) Boston: Birkhauser.
   Google Scholar
• Boyd, S., Ghaoui, L. E., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory, SIAM Studies in Applied Mathematics. Philadelphia, PA: SIAM.
   Google Scholar
• Cloutier, J. R. (1997). State-dependent Riccati equation techniques: An overview. Proceedings of the 1997 American Control Conference, pp. 932–936, Albuquerque, MN.
   Google Scholar
• Cloutier, J. R., D'Souza, C. N., & Mracek, C. P. (1996). Nonlinear regulation and nonlinear H-infinity control via the state-dependent Riccati equation technique: Part 1 theory, part 2 examples. Proceedings of 1st international conference on nonlinear problems in aviation and aerospace, pp. 117–141, Daytona Beach, FL.
   Google Scholar
• Doyle, J. C., Glover, K., Khargonekar, P. P., & Francis, B. A. (1989). State space solution to the standard H2 and H-infinity control problems. IEEE Transactions on Automatic Control 34, 831–847. doi: 10.1109/9.29425
   Web of Science ®Google Scholar
• Gupta, S., & Joshi, S. M. (1994). Some properties and stability results for sector bounded LTI systems. Proceedings of 33rd IEEE conference on decision and control, pp. 2973–2978, Orlando, USA.
   Google Scholar
• Haddad, W. M., & Bernstein, D. S. (1991). Robust stabilization with positive real uncertainty, beyond the small gain theorem. Systems and Control Letters 17, 191–208. doi: 10.1016/0167-6911(91)90065-M
   Web of Science ®Google Scholar
• Hill, D. J., & Moylan, P. J. (1975). Cyclo-dissipativeness, dissipativeness and losslessness for nonlinear dynamical systems (Technical Report EE7526). Department of Electrical and Computer Engineering, University of Newcastle, Australia.
   Google Scholar
• Hill, D. J., & Moylan, P. J. (1976). Stability of nonlinear dissipative systems. IEEE Transactions on Automatic Control, 21, 708–711. doi: 10.1109/TAC.1976.1101352
   Web of Science ®Google Scholar
• Hill, D. J., & Moylan, P. J. (1980). Dissipative dynamical systems: Basic input-output and state properties. Journal of the Franklin Institute, 309 327–357. doi: 10.1016/0016-0032(80)90026-5
   Web of Science ®Google Scholar
• Huang, Y., & Lu, W-M. (1996). Nonlinear optimal control: alternatives to Hamilton-Jacobi equation. Proceedings of 35th conference on decision and control, pp. 3942–3947, Kobe, Japan.
   Google Scholar
• Khargonekar, P. P., Petersen, I. R., & Zhou, K. (1990). Robust stabilization of uncertain linear systems: quadratic stabilizability and H-infinity control theory. IEEE Transactions on Automatic Control, 35, 356–361. doi: 10.1109/9.50357
   Web of Science ®Google Scholar
• Mohseni, J., Yaz, E., & Olejniczak, K. (1998). State dependent LMI control of discrete-time nonlinear systems. Proceedings of the 37th IEEE conference on decision and control, pp. 4626–4627, Tampa, FL.
   Google Scholar
• Petersen, I. R. (1987). A stabilization algorithm for a class of uncertain systems. Systems and Control Letters, 8 181–188. doi: 10.1016/0167-6911(86)90077-0
   Web of Science ®Google Scholar
• Safonov, M. G., Jonckheere, E. A., Verma, M., & Limebeer, D. J. N. (1987). Synthesis of positive real multivariable feedback systems. International Journal of Control, 45 817–842. doi: 10.1080/00207178708933772
   Web of Science ®Google Scholar
• Shim, D. (1996). Equivalence between positive real and norm-bounded uncertainty. IEEE Transactions on Automatic Control, 41 1190–1193. doi: 10.1109/9.533682
   Web of Science ®Google Scholar
• Sun, W., Khargonekar, P. P., & Shim, D. (1994). Solution to the positive real control problem for linear time-invariant systems. IEEE Transactions on Automatic Control, 39 2034–2046. doi: 10.1109/9.280776
   Web of Science ®Google Scholar
• Tan, Z., Soh, Y. C., & Xie, L. (2000). Dissipative control of linear discrete-time systems with dissipative uncertainty. International Journal of Control , 73 (4), 317–328. doi: 10.1080/002071700219678
   Web of Science ®Google Scholar
• Van der Shaft, A. J. (1993). Nonlinear state space H-infinity control theory. In dH. J. Trentelman & J. C. Willems (Eds.), Perspectives in control, pp. 153–190. Groningen: Birkhauser.
   Google Scholar
• Wang, X., & Yaz, E. E. (2009). The state dependent control of continuous time nonlinear systems with mixed performance criteria. Proceedings of IASTED international conference on identification and control applications, pp. 98–102, Honolulu, HI.
   Google Scholar
• Wang, X., Yaz, E. E., & Jeong, C. S. (2010). Robust nonlinear feedback control of discrete-time systems with mixed performance criteria. Proceedings of American control conference, pp. 6357–6362, Baltimore, MD.
   Google Scholar
• Wang, X., Yaz, E. E., & Yaz, Y. I. (2010). Robust and resilient state dependent control of continuous time nonlinear systems with general performance criteria. Proceedings of the 49th IEEE conference on decision and control, pp. 603–608, Atlanta, GA.
   Google Scholar
• Wang, X., Yaz, E. E., & Yaz, Y. I. (2011). Robust and resilient state dependent control of discrete time nonlinear systems with general performance criteria. Proceedings of the 18th IFAC congress, pp. 10904–10909, Milano, Italy.
   Google Scholar
• Willems, J. C. (1972a). Dissipative dynamical systems – Part 1: General theory. Archives for Rational Mechanics and Analysis , 45, 321–351. doi: 10.1007/BF00276493
   Web of Science ®Google Scholar
• Willems, J. C. (1972b). Dissipative dynamical systems – Part 2: Linear systems with quadratic supply rates’. Archives for Rational Mechanics and Analysis, 45 352–393. doi: 10.1007/BF00276494
   Web of Science ®Google Scholar
• Xie, S., Xie, L., & De Souza, C. E. (1998). Robust dissipative control for linear systems with dissipative uncertainty. International Journal of Control 70(2), 169–191. doi: 10.1080/002071798222352
   Web of Science ®Google Scholar
• Zhou, K., & Khargonekar, P. P. (1988). An algebraic Riccati equation approach to H-infinity optimization. Systems and Control Letters, 11 85–91. doi: 10.1016/0167-6911(88)90080-1
   Web of Science ®Google Scholar