Asymptotic tracking for constrained monotone systems

• Published in: IEEE transactions on automatic control Vol. 51; no. 5; pp. 873 - 879
• Main Authors: Chisci, L., Falugi, P.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.05.2006; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Asymptotic properties; Computational modeling; Computer science; Computer science; control theory; systems; Constraints; Control system synthesis; Control systems; Control theory. Systems; Design engineering; Exact sciences and technology; monotone systems; Nonlinear control systems; Nonlinear systems; Nonlinearity; On-line systems; Output feedback; Performance loss; Proteins; Saturation; Stability; stabilization methods; Strategy; Tracking; Stabilization; Saturation; Non linear control; Constraint satisfaction; Control synthesis; tracking; monotone systems; nonlinear systems; Constraints; stabilization methods; Discrete time; Asymptotic approximation; State dependence; Output feedback; State constraint
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2006.874994

This note addresses tracking control of nonlinear discrete-time monotone systems subject to input and state constraints. Forcing saturation on a previously designed controller may, in general, lead to destabilization or, at least, result in constraint violation and performance losses. Hereby, it is shown that for a certain class of nonlinear monotone systems it is possible to design a static nonlinear output feedback which, saturated among suitable state-dependent bounds, is able to guarantee constraint satisfaction and asymptotic tracking of piecewise constant references, with a moderate online computational burden. Simulation experiments concerning the synthesis of a protein demonstrate the effectiveness of the proposed control strategy.