Feedback stabilisation with positive control of a class of dissipative mass-balance systems
Bastin, Georges;Praly, L.
(1999) Proceedings of 14th World Congress of IFAC 99 — Location: Beijing, China (5.July.1999)
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Bastin, GeorgesUCLouvain
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Praly, L.
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Abstract
In many process control applications, the system under consideration is positive. This means that both the state variables and control inputs are physically constrained to remain non-negative along the system trajectories. For such systems, the design of state feedback controllers makes sense only if the control function is guaranteed to provide a non-negative value at each time instant. The purpose of this paper is to present a positive control law for the feedback stabilisation of a class of positive mass-balance systems which are dissipative but can nevertheless be globally unstable. The approach is illustrated with an application to the control of an industrial grinding circuit.
Bastin, G., & Praly, L. (1999). Feedback stabilisation with positive control of a class of dissipative mass-balance systems. In Chen, H-F.; Cheng, D-Z.; Zhang, J-F.; (ed.), Proceedings of the 14th World Congress. International Federation ofAutomatic Control (p. Vol. 4, p. 79-83). Elsevier sci. https://hdl.handle.net/2078.5/228817