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An original method, combining algebraic and distribution theory approaches, is presented in this paper for analyzing the identifiability of some ordinary or delayed nonlinear models. Then, it is shown how this analysis can be used for parameter estimation. Our purpose is supported by examples and an application in aerospace domain.
For linear time-invariant systems it has been shown that the solutions to the optimal reduced-order modeling, estimation, and control problems can be characterized using optimal projection equations, sets of Riecati and Lyapunov equations coupled by terms containing a projection matrix. These equations provide a strong theoretical connection between standard full-order results such as linear-quadratic...
In this paper we consider the problem of motion and shape estimation, of a planar textured surface undergoing a rigid flow, with the aid of a monocular camera. We show that the estimation problem reduces to a specific parameter estimation of a perspective dynamical system. Surprisingly, the above reduction is independent of whether or not the data measured is the brightness pattern which the object...
Unlike parameterisations of single rate systems, we note that every multirate system cannot be parameterized using a single model. Using a lifting strategy, a parameterized set of models can be developed for SISO and MIMO systems. We develop an algorithm to calculate the number of models required for the SISO and MIMO multi-rate systems. Using the multiple model result, a least squares identification...
In this paper a finite horizon H∞ optimal control problem is treated. Results guaranteeing the existence of a unique optimal control and the worst exogenous input are derived. A criterion for the evaluation of the infimal H∞ norm is then given in terms of the least positive value for which a certain boundary value problem has a nontrivial solution. Once the infimal value is known, a noninfimal value...
In certain applications modeling uncertainty can be represented by a finite number of plant models. This paper considers the problems of determining a feedback controller or estimator that optimizes an H2 performance criterion involving a collection of plant models. The approach is based upon fixed-structure optimization in which the estimator or controller order are fixed prior to the development...
A discrete-time H2 static output feedback design problem involving a constraint on H∞ disturbance attenuation is addressed and state space formulae are derived. The dual problem of discrete-time dynamic estimation with an H∞ error bound is also addressed. These results are analogous to results obtained previously for the continuous-time problem.
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