Stabilizing controllers for bilinear systems
- 1 August 1981
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 26 (4) , 917-922
- https://doi.org/10.1109/tac.1981.1102742
Abstract
The problem of finding stabilizing feedback controllers for continuous bilinear systems, where the controls act additively and multiplicatively simultaneously, is treated. The applicability of the "quadratic" control law of Jacobson [5] and others is extended to the case when theA-matrix has arbitary, eigenvalues under certain conditions. A class of bilinear systems common among biochemical flow systems is defined: the dyadic bilinear systems. A control scheme, the so-called division controller, for dyadic bilinear systems is suggested. The practicality of the control schemes is demonstrated on the problem of controlling the neutron level in a fission reactor.Keywords
This publication has 4 references indexed in Scilit:
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- Reduced order bilinear models for distillation columnsAutomatica, 1978
- Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in ElasticitySIAM Journal on Control and Optimization, 1978
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