Regulation of Linear Systems With Unknown Exosystems of Uncertain Order

• Published in: IEEE transactions on automatic control Vol. 52; no. 2; pp. 352 - 359
• Main Authors: Marino, R., Santosuosso, G.L.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.02.2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptative systems; Adaptive control; Applied sciences; Computer science; control theory; systems; Control; Control system synthesis; Control systems; Control theory. Systems; Disturbances; Eigenvalues; Estimates; Exact sciences and technology; Frequency estimation; Linear feedback control systems; Linear matrix inequalities; Linear systems; Matrices; nonminimum phase systems; Output feedback; output regulation; Riccati equations; sinusoidal disturbances; Upper bound; Upper bounds; Feedback regulation; Control synthesis; Non minimum phase system; Adaptive control; Global solution; nonminimum phase systems; Closed feedback; Upper bound; Uncertain system; output regulation; sinusoidal disturbances; Eigenvalue problem; Output feedback
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2006.890376

The problem of designing an output feedback control law which exponentially achieves output regulation is considered for known stabilizable and detectable linear systems which are allowed to be non-minimum phase; output references and/or additive disturbances are both generated by a linear exosystem with unknown purely imaginary eigenvalues and uncertain order. The novelty of this note is to require only an upper bound on the exosystem order to achieve a global solution which includes exponentially convergent estimates of the exosystem unknown frequencies