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This paper deals with state estimation problem for linear systems with state equality constraints. Using noisy measurements which are available from the observable system, we construct the optimal estimate which also satisfies linear equality constraints. For this purpose, after reviewing modeling problems in linear stochastic systems with state equality(More)
This paper deals with the problem of constructing confidence regions for the parameters of truncated series expansion models. The models are represented using orthonormal basis functions, and we extend the "leave-out sign- dominant correlation regions" (LSCR) algorithm such that non-asymptotic confidence regions can be constructed in the presence of(More)
This paper provides a new method for analyzing floating-point roundoff error for digital filters by using "finite signal-to-noise" models whose noise sources have variances proportional to the variance or power of the corrupted signals. With this model, a new expression for output error covariance of floating-point arithmetic is derived the in case of(More)
In this paper we consider system identification with quantized output data. We show that by applying an LSCR (Leave-out Sign-dominant Correlation Regions) algorithm guaranteed non-asymptotic confidence sets for the system parameters can be obtained. The results and the confidence sets are valid for any finite number of data points, and there are no(More)
The authors of Ko and Bitmead (2007) are grateful for the attention and care devoted to the study of the proof of our paper. The author of the comment and correction is indeed right that the proof of Theorem 2 requires the inequality Pk+1Q uPT k+1 ≥ PWQ uPT W = Q c, where, for some positive definite matrix W , PW is the projection matrix I −(More)
This paper deals with a collision avoidance method for UAVs based on potential field. We derive potential vectors by using a Gaussian distribution function to design an avoidance trajectory and use a Gaussian Mixture Model (GMM) to represent two-dimensional complex shaped obstacles. In addition, we apply the Expectation-Maximization (EM) algorithm to modify(More)
In this paper, we develop methods for evaluating uncertainties in the frequency response of a dynamical system based on finitely many input-output data points. For this purpose, we extend the "leave-out sign-dominant correlation regions" (LSCR) algorithm by taking into account a priori information about the tail of the impulse response sequence of the true(More)
This paper proposes a method for identifying inherently closed-loop systems with nonlinear feedback by using an identification technique for Hammerstein systems, when only one measurement variable is available in the loop. The method is based on harmonic balance and representing the linear transfer function and the nonlinearity by basis functions. It is(More)