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Keywords: polynomials
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. March 2012, 134(2): 021017.
Published Online: January 12, 2012
... comprises terrain heights at locations oriented perpendicular to the direction of travel. A vector space is formed by the span of these vectors and a corresponding set of empirical basis vectors is developed. A set of analytic basis vectors is formed from Gegenbauer polynomials, parameterized to approximate...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. September 2011, 133(5): 051009.
Published Online: August 5, 2011
...Umamaheswara Konda; Puneet Singla; Tarunraj Singh; Peter D. Scott The focus of this work is on the development of a framework permitting the unification of generalized polynomial chaos (gPC) with the linear moment propagation equations, to accurately characterize the state distribution for linear...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Dyn. Sys., Meas., Control. September 2011, 133(5): 054502.
Published Online: August 5, 2011
... 2009 15 01 2011 05 08 2011 05 08 2011 delays polynomials stability Delay often occurs in many dynamic systems such as communication systems, chemical systems, biological systems, and electrical networks. Meanwhile, delay is frequently a source of instability...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Dyn. Sys., Meas., Control. January 2011, 133(1): 014501.
Published Online: November 23, 2010
...James Fisher; Raktim Bhattacharya In this paper, we develop a framework for solving optimal trajectory generation problems with probabilistic uncertainty in system parameters. The framework is based on the generalized polynomial chaos theory. We consider both linear and nonlinear dynamics...
Journal Articles
Publisher: ASME
Article Type: Model Validation And Identification
J. Dyn. Sys., Meas., Control. November 2010, 132(6): 061404.
Published Online: November 9, 2010
...Emmanuel D. Blanchard; Adrian Sandu; Corina Sandu Mechanical systems operate under parametric and external excitation uncertainties. The polynomial chaos approach has been shown to be more efficient than Monte Carlo for quantifying the effects of such uncertainties on the system response. Many...
Journal Articles
Publisher: ASME
Article Type: Modeling For Control
J. Dyn. Sys., Meas., Control. November 2010, 132(6): 061304.
Published Online: October 29, 2010
...Brian A. Templeton; David E. Cox; Sean P. Kenny; Mehdi Ahmadian; Steve C. Southward This paper applies the H 2 norm along time and parameter domains. The norm is related to the probabilistic H 2 problem. It is calculated using polynomial chaos to handle uncertainty in the plant model. The structure...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Dyn. Sys., Meas., Control. July 2008, 130(4): 044504.
Published Online: June 9, 2008
...Chang-Chun Hua; Qing-Guo Wang; Peng Shi; Xin-Ping Guan The stabilization problem is investigated for a class of uncertain systems with multiple time-varying delays. The considered system includes the uncertain nonlinear time delay functions, whose bounds are in the form of polynomial-type functions...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Dyn. Sys., Meas., Control. July 2007, 129(4): 541–543.
Published Online: February 5, 2007
... and following a straight line in the Euclidean space. A path-planning technique based on a parametrization of the camera path through polynomials is proposed, which overcomes existing methods dealing with this problem. The generated image trajectory can be tracked by using an image-based visual servoing...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Dyn. Sys., Meas., Control. June 2006, 128(2): 400–405.
Published Online: March 28, 2005
...Nataraj S. V. Paluri; Jayesh J. Barve We propose an algorithm to compute the spectral set of a polytope of polynomials. The proposed algorithm offers several key guarantees that are not available with existing techniques. It guarantees that the generated spectral set: (i) contains all the actual...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. December 2005, 127(4): 656–662.
Published Online: March 5, 2005
... that may contain a high-order polynomial with a time delay. Without the knowledge of these bounds, we present adaptive state feedback controllers that are continuous and independent of time delays. Based on the Lyapunov stability theorem, we prove that the controllers can render the closed loop systems...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. June 2003, 125(2): 202–204.
Published Online: June 4, 2003
...Yeong-Jeu Sun In this paper, we provide the annular bound, i.e., lower and upper circular bound, for the roots of characteristic equations of uncertain discrete systems. Such an annular bound can be easily obtained by estimating the largest nonnegative zero of the specific polynomial. Two examples...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Dyn. Sys., Meas., Control. March 2003, 125(1): 123–125.
Published Online: March 10, 2003
...Michael V. Basin The paper presents the optimal nonlinear filter for quadratic state and linear observation equations confused with white Gaussian disturbances. The general scheme for obtaining the optimal filter in case of polynomial state and linear observation equations is announced...