Pohang University of Science and Technology · Engineering
Professor PooGyeon Park's research lab specializes in robust control, signal processing, and system stability analysis, with a strong focus on time-delay systems, Lur'e systems, and adaptive filtering algorithms. The lab develops advanced stability criteria using linear matrix inequalities and frequency-domain analysis, particularly for systems with uncertainties and nonlinearities. It also pioneers reliable state estimation algorithms and improved adaptive signal processing techniques, such as the affine projection and normalized least-mean-squares algorithms, with enhanced convergence and robustness. The lab emphasizes both theoretical rigor and practical applicability in engineering systems.
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This paper provides a new stability criterion for systems with time-invariant uncertain delays. Based on an improved upper bound for the inner product of two vectors, a new delay-dependent robust stability criterion is derived, which is shown by an example less conservative than existing stability criteria.
Presents stability criteria of sector- and slope-restricted Lur'e systems, in terms of linear matrix inequalities, by fully exploiting inherent properties of sector and slope restrictions in the time domain. Interpreting the time-domain criteria in the frequency domain, furthermore, supplies simpler expressions. Several examples show excellent performances of these criteria.
Presents some new square-root algorithms that allow more reliable computation of the state estimates, using, as far as possible, quantities obtained via orthogonal operations. New algorithms are given for covariance quantities and information quantities, and a new combined algorithm is also presented.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
This paper revisits a well-known Popov criterion for absolute stability analysis of multiple sector-restricted nonlinear time-invariant (NTI) Lur&apos;e systems. Extending the Brockett and Willems (1965) frequency-domain Popov criterion for a SISO system into a MIMO system with multiple sector-restrictions [0, <(Delta)over bar>], where <(Delta)over bar> is positive and diagonal, provides a claim that a system is absolutely stable if a function G(s) = <(Delta)over bar>(-1) +
This paper presents an improved mean-square deviation (MSD) analysis of the standard affine projection algorithm (APA) based on two distinctive features. First, the propagation model of the error covariance includes the cross-correlation between the current weight error vector and the prior measurement noises associated with the reused inputs; such a cross-correlation has merely been considered previously. Second, the analysis based on <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlin
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