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Stabilization of the equilibria of dynamical systems

โœ Scribed by A.P. Blinov

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
210 KB
Volume
72
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

Based on Rumyantsev's method, a procedure is developed for stabilizing stable and unstable equilibria of dynamical systems by continuous and modulus-constrained control actions. It is shown that, when modulus constraints are imposed on the controls, and when the quadratic-form coefficients are reduced in modulus, the optimal stabilization, in terms of this method, approximates to time-optimal stabilization. A solution is obtained of the problem of stabilizing unstable equilibrium positions at which the potential energy of the system has neither a maximum nor a minimum (or, in particular, at which the potential energy is identically equal to zero).

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