Observable space of the nonlinear control system
on a homogeneous time scale.
Yan, Nonlinear Control System
Theory and Applications, Xidian University Press, Xi'an, China, 2007.
However, this is in agreement with universal algebraic formalism, which is based on the classification of differential one-forms associated with the nonlinear control system
, and has proved to be efficient for solving several modelling, analysis, and design problems .
2005) is based on the computation of the sensitivity of the nonlinear control system
subject to a linear control strategy with input perturbations.
Isidori, Nonlinear Control System
, Springer, London, UK, 3rd edition, 1995.
Given a SISO observable nonlinear control system
(1), defined on a homogeneous time scale, the problem is to find the higher-order i/o delta-differential equation (2), corresponding to (1).
In the present paper we apply this formalism to define and construct the observable space for the nonlinear control system
on a homogeneous time scale and define the observability indices of the system.
This paper may be understood as the continuation of paper , which developed the algebraic formalism of differential one-forms associated with the nonlinear control system
defined on a homogeneous time scale.
The disturbance decoupling problem (DDP) for a discrete-time nonlinear control system
by state feedback has been addressed in many papers (see [2,3,7,8,14,16]).
Consider a discrete-time nonlinear control system
[SIGMA] of the form
In  it was proved that the discrete-time nonlinear control system
, described by the rational state transition function, is submersive if and only if the ideal, defined by the control system, is prime, proper, and reflexive.
Since the solutions of nonlinear control problems require a huge amount of symbolic computations, additional assistance is provided by the nonlinear control system
software package NLControl (Kotta and Tonso, 1999; Kotta and Tonso, 2003), developed in the Institute of Cybernetics at Tallinn University of Technology.