Remarks on "Robustness analysis of nonlinear feedback systems: an input-output approach"
نویسندگان
چکیده
[3] S. T. Chung and J. W. Grizzle, “Internally exponentially stable nonlinear discrete-time noninteracting control via static feedback,” Int. J. Control, vol. 55, pp. 1071–1092, 1992. [4] E. Delaleau and M. Fliess, “Algorithme de structure, filtrations et découplage,” Crit. Rev. Acad. Sci. Paris, ser. I, vol. 315, pp. 101–106, 1992. [5] E. Delaleau and M. Fliess, “An algebraic interpretation of the structure algorithm with an application to feedback decoupling,” in Nonlinear Control Systems Design Selected papers from the 2nd IFAC Symp., M. Fliess, Ed. Oxford, U. K. : Pergamon, 1993, pp. 489–494. [6] T. Fliegner and H. Nijmeijer, “Dynamic disturbance decoupling for nonlinear discrete-time systems,” in Proc. 33rd IEEE Conf. Decision Control, vol. 2, Buena Vista, FL, 1994, pp. 1790–1791. [7] M. Fliess, “Automatique en temps discret et algébre aux différences,” Forum Mathematicum, vol. 2, pp. 213–232, 1990. [8] J. W. Grizzle, “Controlled invariance for discrete-time nonlinear systems with an application to the disturbance decoupling problem,” IEEE Trans. Automat. Contr., vol. 30, pp. 868–873, Dec. 1985. [9] , “Local input–output decoupling of discrete-time nonlinear systems,” Int. J. Control, vol. 43, pp. 1517–1530, 1986. [10] , “A linear algebraic framework for the analysis of discrete-time nonlinear systems,” SIAM J. Contr. Optimiz., vol. 31, pp. 1026–1044, 1993. [11] H. J. C. Huijberts and C. H. Moog, “Controlled invariance of nonlinear systems: Nonexact forms speak louder than exact forms,” in Systems and Networks: Mathematical Theory and Application, U. Helmke, R. Mennicken, and J. Saurer, Eds. Berlin, Germany: Akademie Verlag, 1994, pp. 245–248. [12] H. J. C. Huijberts, C. H. Moog, and R. Andriarti, “Generalized controlled invariance for nonlinear systems,” SIAM J. Control Optim., vol. 35, pp. 953–979, 1997. [13] Ü. Kotta, “Dynamic disturbance decoupling for discrete-time nonlinear systems: The nonsquare and noninvertible case,” Proc. Estonian Academy Sci., Phys., Math., vol. 41, pp. 14–22, 1992. [14] , “Dynamic disturbance decoupling for discrete-time nonlinear systems: A solution in terms of system invariants,” Proc. Estonian Academy Sci., Phys., Math., vol. 43, pp. 147–159, 1994. [15] Ü. Kotta and H. Nijmeijer, “Dynamic disturbance decoupling for nonlinear discrete-time systems” (in Russian), Proc. Academy Sci. U.S.S.R. Tech. Cybern., pp. 52–59, 1991. [16] S. Monaco and D. Normand-Cyrot, “Invariant distributions for discrete-time nonlinear systems,” Syst. Contr. Lett., vol. 5, pp. 191–196, 1984. [17] C. H. Moog, A. M. Perdon, and G. Conte, “Model matching and factorization for nonlinear systems: A structural approach,” SIAM J. Control Optim., vol. 29, pp. 769–785, 1991. [18] H. Nijmeijer and A. van der Schaft, Nonlinear Dynamical Control Systems. Berlin, Germany: Springer-Verlag, 1990. [19] A. M. Perdon, G. Conte, and C. H. Moog, “Some canonical properties of nonlinear systems,” in Realization and Modeling in System Theory, M. A. Kaashoek, J. H. van Schuppen, and A. C. M. Ran, Eds. Boston, MA: Birkhäuser, 1990, pp. 89–96. Remarks on “Robustness Analysis of Nonlinear Feedback Systems: An Input–Output Approach”
منابع مشابه
Optimal Control of Nonlinear Multivariable Systems
This paper concerns a study on the optimal control for nonlinear systems. An appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. In this fashion, the nonlinear system has been linearized using input-output feedback linearization (IOFL). Then, by utilizing the well developed optimal control theory of linear systems, the compensated ...
متن کاملDesign of a Novel Framework to Control Nonlinear Affine Systems Based on Fast Terminal Sliding-Mode Controller
In this paper, a novel approach for finite-time stabilization of uncertain affine systems is proposed. In the proposed approach, a fast terminal sliding mode (FTSM) controller is designed, based on the input-output feedback linearization of the nonlinear system with considering its internal dynamics. One of the main advantages of the proposed approach is that only the outputs and external state...
متن کاملADAPTIVE FUZZY OUTPUT FEEDBACK TRACKING CONTROL FOR A CLASS OF NONLINEAR TIME-VARYING DELAY SYSTEMS WITH UNKNOWN BACKLASH-LIKE HYSTERESIS
This paper considers the problem of adaptive output feedback tracking control for a class of nonstrict-feedback nonlinear systems with unknown time-varying delays and unknown backlash-like hysteresis. Fuzzy logic systems are used to estimate the unknown nonlinear functions. Based on the Lyapunov–Krasovskii method, the control scheme is constructed by using the backstepping and adaptive techniqu...
متن کاملAdaptive fuzzy pole placement for stabilization of non-linear systems
A new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. We use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. Then, we linearized this identified model at each sampling time to have an approximate linear time varying system. In order to stabilize...
متن کاملPassivity-Based Stability Analysis and Robust Practical Stabilization of Nonlinear Affine Systems with Non-vanishing Perturbations
This paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. The given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. Moreover, robust control laws are designed to guarantee the practical stability of the perturbe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- IEEE Trans. Automat. Contr.
دوره 46 شماره
صفحات -
تاریخ انتشار 2001