Computation of feedback control for time optimal state transfer using Groebner basis

Patil, Deepak U.; Mulla, Ameer K.; Chakraborty, Debraj; Pillai, Harish K.

doi:10.1016/j.sysconle.2015.02.003

Cited by 10 publications

(1 citation statement)

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“…These algebraic tools have been used for the purpose of observability analysis by Kawano and Ohtsuka (2013a), Nešić (1998a), Sontag and Rouchaleau (1976), stabilising controller design by Menini and Tornambè (in press), and optimal controller design by Patil, Mulla, Chakraborty, and Pillai (2015). A crucial point of forward (backward) accessibility analysis is that we consider the smallest affine variety containing a reachable set at every time instant instead of an open subset of a reachable set like in Jakubczyk and Sontag (1990), Rieger and Schlacher (2011).…”

Section: Introductionmentioning

confidence: 99%

Commutative algebraic methods for controllability of discrete-time polynomial systems

Kawano

Ohtsuka

2015

International Journal of Control

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In this paper, we consider controllability of discrete-time polynomial systems. First, we present a forward accessibility (local reachability) condition that can be verified in finite time, in contrast to conventional conditions. Second, we give a backward accessibility (local controllability) condition for an invertible system and a condition to verify invertibility. Finally, we derive sufficient conditions to test whether the forward accessible system is reachable and to test the backward accessible system is controllable.

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