Mathematics – Optimization and Control
Scientific paper
1999-08-26
Electronic Journal of Linear Algebra ISSN 1081-3810, A publication of the International Linear Algebra Society, Volume 13, pp.
Mathematics
Optimization and Control
Author's name was listed as Wenlong Jin
Scientific paper
In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J. Krener, Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems, SIAM Journal on Control and Optimization, 30:1319-1337, 1992]. In this approach, the computation of Brunovsky forms and transformation matrices and the proof of their existence and uniqueness are carried out simultaneously. In addition, it is shown that quadratic transformations in the aforementioned paper can be simplified to prevent multiplicity in Brunovsky forms. This method is extended for studying discrete quadratic systems. Finally, computation algorithms for both continuous and discrete systems are summarized, and examples demonstrated.
No associations
LandOfFree
A method for computing quadratic Brunovsky forms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A method for computing quadratic Brunovsky forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A method for computing quadratic Brunovsky forms will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-476667