Roundoff Noise Minimization in State-Space Discrete-Time Systems Using Joint Optimization of High-Order Error Feedback and Realization

• Published in: IEEE transactions on circuits and systems. I, Regular papers Vol. 61; no. 12; pp. 3460 - 3468
• Main Authors: Hinamoto, Takao, Doi, Akimitsu, Wu-Sheng Lu
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2014; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Circuits; Closed loop systems; Exact solutions; High-order error-feedback; joint optimization; Joints; l_{2} -scaling; Mathematical analysis; Minimization; Noise; Observers; Optimization; roundoff noise minimization; Vectors
• ISSN: 1549-8328; 1558-0806
• DOI: 10.1109/TCSI.2014.2337233

This paper deals with the joint optimization problem of high-order error-feedback and realization for minimizing roundoff noise at the output of a closed-loop system with a full-order observer feedback system subject to l2-scaling constraints. It is shown that the problem can be converted into an unconstrained optimization problem by using linear-algebraic techniques. The unconstrained optimization problem at hand is then solved iteratively by employing an efficient quasi-Newton algorithm with closed-form formulas for key gradient evaluation. A case study is presented to demonstrate the validity and effectiveness of the proposed technique.