Name
Title | ||
|---|---|---|
Disturbance Attenuation by Measurement Feedback in Nonlinear Systems via Immersion and Algebraic Conditions |
Abstract | ||
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In this paper, we consider the problem of
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">disturbance attenuation with internal stability</italic>
for nonlinear, input-affine systems via measurement feedback. The solution to the above-mentioned problem has been provided, three decades ago, in terms of the solution to a system of coupled nonlinear, first-order partial differential equations (PDEs). As a consequence, despite the rather elegant characterisation of the solution, the presence of PDEs renders the control design synthesis almost infeasible in practice. Therefore, to circumvent such a computational bottle-neck, in this paper we provide a novel characterisation of the exact solution to the problem that does not hinge upon the
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">explicit</italic>
computation of the solution to any PDE. The result is achieved by considering the
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">immersion</italic>
of the nonlinear dynamics into an extended system for which locally positive definite functions solving the required PDEs may be directly provided in closed form
<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">by relying only on the solutions to Riccati-like, state-dependent, algebraic matrix equations</italic>
. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1109/TAC.2019.2920617 | IEEE Transactions on Automatic Control |
Keywords | Field | DocType |
Attenuation,Output feedback,Optimal control,Nonlinear dynamical systems,Asymptotic stability,Attenuation measurement | Nonlinear system,Algebraic number,Control theory,Immersion (virtual reality),Attenuation,Mathematics | Journal |
Volume | Issue | ISSN |
65 | 2 | 0018-9286 |
Citations | PageRank | References |
1 | 0.48 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thulasi Mylvaganam | 1 | 40 | 9.84 |
| Mario Sassano | 2 | 152 | 30.65 |