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Design of linear feedback for bilinear control systems

100%
Belozyorov V. Y.
International Journal of Applied Mathematics and Computer Science
|
2002
|
tom 12
|
nr 4
493-511
EN
Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
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On an invariant design of feedbacks for bilinear control systems of second order

100%
Belozyorov V. Y.
International Journal of Applied Mathematics and Computer Science
|
2001
|
tom 11
|
nr 2
377-389
EN
The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic stability are found.
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