Dynamic disturbance decoupling for nonlinear discrete-time systems
نویسندگان
چکیده
In this paper we study the dynamic disturbance decoupling problem for nonlinear discrete-time systems that are considered in a neighbourhood of a given reference trajec-tory. Furthermore the connection between the solvability of this problem and the solvability of the corresponding problem for the time-varying linear discrete-time system obtained by linearizing the original system along the given reference trajectory is investigated. For this purpose, a geometric disturbance decoupling theory for time-varying linear discrete-time systems is developed.
منابع مشابه
Disturbance decoupling of multi-input multi-output discrete-time nonlinear systems by static measurement feedback
This paper addresses the disturbance decoupling problem (DDP) for nonlinear systems, extending the results for continuous-time systems into the discrete-time case. Sufficient conditions are given for the solvability of the problem. The notion of the rank of a one-form is used to find the static measurement feedback that solves the DDP whenever possible. Moreover, necessary and sufficient condit...
متن کاملGeneralized controlled invariance for discrete-time nonlinear systems with an application to the dynamic disturbance decoupling problem
In analogy with the continuous-time case, a general notion of controlled invariance with respect to quasi-static-state feedback is introduced for discrete-time nonlinear systems which incorporates the earlier definition of controlled invariance with respect to regular static-state feedback. This new notion is used to derive a geometric solution to the dynamic disturbance decoupling problem. The...
متن کاملRemarks on "Robustness analysis of nonlinear feedback systems: an input-output approach"
[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...
متن کاملOutput Feedback Disturbance Decoupling in Discrete-Time Nonlinear Systems
The paper studies the unmeasurable disturbance decoupling problem via the dynamic output feedback for discrete-time nonlinear control systems. To address the problem the novel algebraic approach, called the algebra of functions, is applied. The advantage of the latter over the differential geometric methods is that the system description may depend on non-differentiable functions.
متن کاملMeasurement feedback disturbance decoupling in discrete-time nonlinear systems
The paper studies the disturbance decoupling problem by the dynamic measurement feedback for discrete-time nonlinear control systems. To address the problem the algebraic approach, called the algebra of functions, is applied, which allows the system description also depend on non-differentiable functions. A necessary and sufficient condition is given in terms of controlled and (h, f)-invariant ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Kybernetika
دوره 32 شماره
صفحات -
تاریخ انتشار 1996