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I. Michael Ross
Isaac Michael Ross is a Distinguished Professor and Program Director of Control and Optimization at the Naval Postgraduate School in Monterey, CA. He has published a highly-regarded textbook on optimal control theoryI. M. Ross, A Primer on Pontryagin’s Principle in Optimal Control'' Second Edition, Collegiate Publishers, San Francisco, CA, 2015. and seminal papers in pseudospectral optimal control theory,I. M. Ross and F. Fahroo, A Pseudospectral Transformation of the Covectors of Optimal Control Systems, Proceedings of the First IFAC Symposium on System Structure and Control, Prague, Czech Republic, 29–31 August 2001.I. M. Ross and F. Fahroo, Legendre Pseudospectral Approximations of Optimal Control Problems, ''Lecture Notes in Control and Information Sciences'', Vol. 295, Springer-Verlag, 2003. I. M. Ross and F. Fahroo, Discrete Verification of Necessary Conditions for Switched Nonlinear Optimal Control Systems, Proceedings of the American Control Conference, Invited Paper, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Naval Postgraduate School
The Naval Postgraduate School (NPS) is a public graduate school operated by the United States Navy and located in Monterey, California. It offers master’s and doctoral degrees in more than 70 fields of study to the U.S. Armed Forces, DOD civilians and international partners. Established in 1909, the school also offers research fellowship opportunities at the postdoctoral level through the National Academies' National Research Council (United States), National Research Council research associateship program. History On 9 June 1909, Secretary of the Navy George von L. Meyer signed General Order No. 27, establishing a school of Marine propulsion, marine engineering at Annapolis, Maryland. On 31 October 1912, Meyer signed Navy General Order No. 233, which renamed the school the Postgraduate Department of the United States Naval Academy. The order established courses of study in ordnance and gunnery, electrical engineering, radio telegraphy, Shipbuilding, naval construction, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chebyshev Pseudospectral Method
The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. It is part of the larger theory of pseudospectral optimal control, a term coined by Ross. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not immediately offer high-accuracy quadrature solutions. Consequently, two different versions of the method have been proposed: one by Elnagar et al., and another by Fahroo and Ross. The two versions differ in their quadrature techniques. The Fahroo–Ross method is more commonly used today due to the ease in implementation of the Clenshaw–Curtis quadrature technique (in contrast to Elnagar–Kazemi's cell-averaging method). In 2008, Trefethen showed that the Clenshaw–Curtis method was nearly as accurate as Gauss quadrature. This breakthrough result opened the door for a covector mapping theorem for Chebyshev PS methods. A complete mathematical theory for Chebyshev PS methods was fi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Flat Pseudospectral Method
The flat pseudospectral method is part of the family of the Ross–Fahroo pseudospectral methods introduced by Ross and Fahroo. Ross, I. M. and Fahroo, F., Pseudospectral Methods for the Optimal Motion Planning of Differentially Flat Systems” IEEE Transactions on Automatic Control, Vol.49, No.8, pp. 1410–1413, August 2004. Ross, I. M. and Fahroo, F., A Unified Framework for Real-Time Optimal Control” Proceedings of the IEEE Conference on Decision and Control, Maui, HI, December, 2003. The method combines the concept of differential flatness with pseudospectral optimal control to generate outputs in the so-called flat space. Fliess, M., Lévine, J., Martin, Ph., and Rouchon, P., Flatness and defect of nonlinear systems: Introductory theory and examples” International Journal of Control, vol. 61, no. 6, pp. 1327–1361, 1995. Rathinam, M. and Murray, R. M., Configuration flatness of Lagrangian systems underactuated by one control SIAM Journal on Control and Optimiz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bellman Pseudospectral Method
The Bellman pseudospectral method is a pseudospectral method for optimal control based on Bellman's principle of optimality. It is part of the larger theory of pseudospectral optimal control, a term coined by Ross. The method is named after Richard E. Bellman. It was introduced by Ross et al.I. M. Ross, Q. Gong and P. Sekhavat, The Bellman pseudospectral method, AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Honolulu, Hawaii, AIAA-2008-6448, August 18–21, 2008. first as a means to solve multiscale optimal control problems, and later expanded to obtain suboptimal solutions for general optimal control problems. Theoretical foundations The multiscale version of the Bellman pseudospectral method is based on the spectral convergence property of the Ross–Fahroo pseudospectral methods. That is, because the Ross–Fahroo pseudospectral method converges at an exponentially fast rate, pointwise convergence to a solution is obtained at very low number of nodes even when the so ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Covector Mapping Principle
The covector mapping principle is a special case of Riesz' representation theorem, which is a fundamental theorem in functional analysis. The name was coined by Ross and co-workers,Ross, I. M., “A Historical Introduction to the Covector Mapping Principle,” Proceedings of the 2005 AAS/AIAA Astrodynamics Specialist Conference, August 7–11, 2005 Lake Tahoe, CA. AAS 05-332.Ross, I. M. and Fahroo, F., “Legendre Pseudospectral Approximations of Optimal Control Problems,” Lecture Notes in Control and Information Sciences, Vol. 295, Springer-Verlag, New York, 2003, pp 327–342.Ross, I. M. and Fahroo, F., “Discrete Verification of Necessary Conditions for Switched Nonlinear Optimal Control Systems,” Proceedings of the American Control Conference, June 2004, Boston, MARoss, I. M. and Fahroo, F., “A Pseudospectral Transformation of the Covectors of Optimal Control Systems,” Proceedings of the First IFAC Symposium on System Structure and Control, Prague, Czech Republic, 29 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Caratheodory-π Solution
A Carathéodory- solution is a generalized solution to an ordinary differential equation. The concept is due to I. Michael Ross and named in honor of Constantin Carathéodory.Biles, D. C., and Binding, P. A., “On Carathéodory’s Conditions for the Initial Value Problem," ''Proceedings of the American Mathematical Society,'' Vol. 125, No. 5, May 1997, pp. 1371–1376. Its practicality was demonstrated in 2008 by Ross et al.Ross, I. M., Sekhavat, P., Fleming, A. and Gong, Q., "Optimal Feedback Control: Foundations, Examples and Experimental Results for a New Approach," ''Journal of Guidance, Control and Dynamics,'' Vol. 31, No. 2, pp. 307–321, 2008. in a laboratory implementation of the concept. The concept is most useful for implementing feedback controls, particularly those generated by an application of Ross' pseudospectral optimal control Pseudospectral optimal control is a joint theoretical-computational method for solving optimal control problems. It combines pseud ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
IEEE
The Institute of Electrical and Electronics Engineers (IEEE) is a 501(c)(3) professional association for electronic engineering and electrical engineering (and associated disciplines) with its corporate office in New York City and its operations center in Piscataway, New Jersey. The mission of the IEEE is ''advancing technology for the benefit of humanity''. The IEEE was formed from the amalgamation of the American Institute of Electrical Engineers and the Institute of Radio Engineers in 1963. Due to its expansion of scope into so many related fields, it is simply referred to by the letters I-E-E-E (pronounced I-triple-E), except on legal business documents. , it is the world's largest association of technical professionals with more than 423,000 members in over 160 countries around the world. Its objectives are the educational and technical advancement of electrical and electronic engineering, telecommunications, computer engineering and similar disciplines. History Origin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
AIAA
The American Institute of Aeronautics and Astronautics (AIAA) is a professional society for the field of aerospace engineering. The AIAA is the U.S. representative on the International Astronautical Federation and the International Council of the Aeronautical Sciences. In 2015, it had more than 30,000 members among aerospace professionals worldwide (a majority are American and/or live in the United States). History The AIAA was founded in 1963 from the merger of two earlier societies: the American Rocket Society (ARS), founded in 1930 as the American Interplanetary Society (AIS), and the Institute of the Aerospace Sciences (IAS), founded in 1932 as the Institute of the Aeronautical Sciences. Paul Johnston was the first executive director of the organization. Jim Harford took his seat after 18 months. The newly-formed structure gathered 47 technical committees and one broad technical publication, the ''AIAA Journal''. The ''AIAA Student Journal'' was also launched in 1963. T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Astronautical Society
Formed in 1954, the American Astronautical Society (AAS) is an independent scientific and technical group in the United States dedicated to the advancement of space science and space exploration. AAS supports NASA's Vision for Space Exploration and is a member of the Coalition for Space Exploration and the Space Exploration Alliance. The AAS also focuses on strengthening the global space program through cooperation with international space organizations. The society has a long history of supporting space exploration through scholarships. AAS members include: engineers, scientists, administrators, institutions and corporations working in support of the nation's space activities, as well as military space specialists, physicians, lawyers, educators, historians, journalists, artists and other professionals. The AAS runs national meetings, symposia and publications. Members meet with leaders in their field and in related disciplines, exchange information and ideas, discuss career a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nonlinear Control System
Nonlinear control theory is the area of control theory which deals with systems that are nonlinear, time-variant, or both. Control theory is an interdisciplinary branch of engineering and mathematics that is concerned with the behavior of dynamical systems with inputs, and how to modify the output by changes in the input using feedback, feedforward, or signal filtering. The system to be controlled is called the "plant". One way to make the output of a system follow a desired reference signal is to compare the output of the plant to the desired output, and provide feedback to the plant to modify the output to bring it closer to the desired output. Control theory is divided into two branches. Linear control theory applies to systems made of devices which obey the superposition principle. They are governed by linear differential equations. A major subclass is systems which in addition have parameters which do not change with time, called ''linear time invariant'' (LTI) syst ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Autonomy
In developmental psychology and moral, political, and bioethical philosophy, autonomy, from , ''autonomos'', from αὐτο- ''auto-'' "self" and νόμος ''nomos'', "law", hence when combined understood to mean "one who gives oneself one's own law" is the capacity to make an informed, uncoerced decision. Autonomous organizations or institutions are independent or self-governing. Autonomy can also be defined from a human resources perspective, where it denotes a (relatively high) level of discretion granted to an employee in his or her work. In such cases, autonomy is known to generally increase job satisfaction. Self-actualized individuals are thought to operate autonomously of external expectations. In a medical context, respect for a patient's personal autonomy is considered one of many fundamental ethical principles in medicine. Sociology In the sociology of knowledge, a controversy over the boundaries of autonomy inhibited analysis of any concept beyond relative auto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Society For Industrial And Applied Mathematics
Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific society devoted to applied mathematics, and roughly two-thirds of its membership resides within the United States. Founded in 1951, the organization began holding annual national meetings in 1954, and now hosts conferences, publishes books and scholarly journals, and engages in advocacy in issues of interest to its membership. Members include engineers, scientists, and mathematicians, both those employed in academia and those working in industry. The society supports educational institutions promoting applied mathematics. SIAM is one of the four member organizations of the Joint Policy Board for Mathematics. Membership Membership is open to both individuals and organizations. By the end of its first full year of operation, SIAM had 130 memb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
