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Stabilization of linear dynamical systems by optimal controls of linear-quadratic problems |
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| Affiliation: | 1. Department of Mechanical Engineering, Michigan State University East Lansing, MI 48823, USA;2. Department of Electrical and Computer Engineering, Michigan State University East Lansing, MI 48823, USA;1. Department of Mathematics, Universidade Federal de Pernambuco, Brazil;2. Department of Mathematics, Universidade Federal do Maranhão, Av. dos Portugueses, 1966, 65080-805, Brazil |
| Abstract: | A method of obtaining a bounded feedback which stabilizes a linear dynamical system is described. The attainment of a positional solution of a special auxilliary linear-quadratic problem of optimal control using an optimal regulator is the basis of the method. The results are illustrated for the well-known problem of the stabilization of a pendulum in the upper unstable positions by means of inertial controls. |
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