Filtered feedback linearization for nonlinear systems with unknown disturbance

Decentralized filtered dynamic inversion for uncertain minimum-phase systems

“…Moreover, Hoagg and Seigler (2013a) shows that filter dynamic inversion makes the average power of the command-following error arbitrarily small. The results of Hoagg and Seigler (2013a) are extended to address centralized nonlinear systems in Hoagg and Seigler (2013b).…”

Decentralized filtered feedback linearization for uncertain nonlinear systems

“…Thus, Equations to satisfy assumptions (A2) and (A4) in the work of Hoagg and Seigler . It follows from Assumption that J is known, continuous on , and nonsingular on , which implies that Equations to satisfy assumption (A3) in the work of Hoagg and Seigler . Assumptions , and imply that Equations to satisfy assumptions (A5), (A6), and (A7) in the work of Hoagg and Seigler .…”

“…Next, it follows from Equation that where . Thus, Equations to satisfy assumptions (A2) and (A4) in the work of Hoagg and Seigler . It follows from Assumption that J is known, continuous on , and nonsingular on , which implies that Equations to satisfy assumption (A3) in the work of Hoagg and Seigler .…”

“…It follows from Assumption that J is known, continuous on , and nonsingular on , which implies that Equations to satisfy assumption (A3) in the work of Hoagg and Seigler . Assumptions , and imply that Equations to satisfy assumptions (A5), (A6), and (A7) in the work of Hoagg and Seigler . Define , and it follows from Assumption that and exist and are continuous.…”

“…This brief paper is a follow‐on to the work of Hoagg and Seigler, which presents the centralized controller filtered feedback linearization (FFL). In particular, FFL is applicable to a class of MIMO nonlinear subsystems in which local controls can depend on both local and nonlocal states.…”