Results 171 to 180 of about 51,628 (218)
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On categories and foundations of the theory of nonlinear control dynamical systems: III
Differential Equations, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An iterative learning control theory for a class of nonlinear dynamic systems
Automatica, 1992Abstract An iterative learning control scheme is presented for a class of nonlinear dynamic systems which includes holonomic systems as its subset. The control scheme is composed of two types of control methodology: a linear feedback mechanism and a feedforward learning strategy. At each iteration, the linear feedback provides stability of the system
KUC, TY, LEE, JS, NAM, K
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THE NEW RESULTS IN THE THEORY OF PERIODIC OSCILLATION IN NONLINEAR CONTROL SYSTEMS
IFAC Proceedings Volumes, 1990Abstract The ordinary systems and the systems including elements of new kind (to describe these elements the new mathematical methods have been developed) was studied. In this paper we state some new results about periodic oscillations: existence of oscillations, number of distinct conditions, stability conditions, new numerical procedures for ...
M.A. Krasnosel’skii +7 more
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Categories and Foundations of the Theory of Nonlinear Controlled Dynamical Systems: I
Differential Equations, 2002According to the introduction, ``the exposition of foundations of a particular mathematical theory begins with the definition of\dots notions.'' In the first part the author develops ``an approach that permits one to use category theory and thus introduce the above mentioned notions in a very natural manner''.
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Singular perturbation theory in control of nonlinear systems with uncertainties
2016 24th Iranian Conference on Electrical Engineering (ICEE), 2016In this paper, a control approach is proposed for stabilization of nonlinear systems in the presence of both matched and unmatched uncertainties. By combining the time scale separation and backstepping, first, high-gain filters are designed to estimate the uncertainties, and then, a fast dynamical equation is derived which the solution is found to ...
Alireza Khayatian, Mehrnoosh Asadi
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On the theory of nonlinear control systems
2005A review of some of the recent advances in nonlinear control theory is presented. A central theme in the discussion is the notion of state feedback and its use for altering the structural properties of a system. The relations between various synthesis problems, controlled invariance and a general decomposition problem are investigated.
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Geometric Theory of Reduction of Nonlinear Control Systems
Computational Mathematics and Mathematical Physics, 2018The foundations of a differential geometric theory of nonlinear control systems are described on the basis of categorical concepts (isomorphism, factorization, restrictions) by analogy with classical mathematical theories (of linear spaces, groups, etc.).
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The Nonlinear Control Theory of Complex Mechanical Systems.
1996Abstract : This report summarizes a body of research dealing with the nonlinear control theory of complex mechanical systems. The principal focus is on so-called superarticulated (or underactuated) mechanical systems and systems having a mixture of directly controlled as well as uncontrolled degrees of freedom. The two-fold goal of the research is: (1)
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Theory of cone methods for null controllability of nonlinear control systems
IEEE Transactions on Automatic Control, 1979Cone-valued Lyapunov functions have been used by several authors to examine the stability of nonlinear systems. However, the general problem of constructing a suitable cone given the nature of nonlinearity seems to be as difficult as that of constructing a suitable Lyapunov function.
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Factorization of nonlinear systems: toward a theory for nonlinear H/sup infinity / control
Proceedings of the 27th IEEE Conference on Decision and Control, 2003A natural approach to H/sup infinity / control for nonlinear systems, by developing a theory of factorization for a nonlinear time-invariant causal map, is presented. Whenever such factorizations exist with well-behaved frequency-response function, theta , then a substantial class of nonlinear control problems can be solved. The author reports progress
J.A. Ball, J.W. Helton
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