Stability of solutions for controlled nonlinear systems under perturbation of state constraints

Pierre Cyril Aubin-Frankowski

doi:10.1016/j.ifacol.2022.09.001

Stability of solutions for controlled nonlinear systems under perturbation of state constraints

Pierre Cyril Aubin-Frankowski

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper tackles the problem of unbounded nonlinear systems under perturbation of some time-varying state constraints. It is shown that, given a trajectory to be approximated, one can find a neighboring one that lies in the interior of the constraints, and which can be made arbitrarily close to the reference trajectory both in L∞-distance and L2-control cost. This result is an important tool to ference trajectory both in L-distance and L2-control cost. This result is an important tool to prove the convergence of approximation schemes of state constraints based on interior solutions.

Original language	English
Pages (from-to)	62-67
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	55
Issue number	16
DOIs	https://doi.org/10.1016/j.ifacol.2022.09.001
Publication status	Published - 1 Jul 2022
Event	18th IFAC Workshop on Control Applications of Optimization, CAO 2022 - Gif sur Yvette, France Duration: 18 Jul 2022 → 22 Jul 2022

Keywords

Control of constrained systems
Interior trajectories
Nonlinear control systems
Time-varying systems

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10.1016/j.ifacol.2022.09.001

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title = "Stability of solutions for controlled nonlinear systems under perturbation of state constraints",

abstract = "This paper tackles the problem of unbounded nonlinear systems under perturbation of some time-varying state constraints. It is shown that, given a trajectory to be approximated, one can find a neighboring one that lies in the interior of the constraints, and which can be made arbitrarily close to the reference trajectory both in L∞-distance and L2-control cost. This result is an important tool to ference trajectory both in L-distance and L2-control cost. This result is an important tool to prove the convergence of approximation schemes of state constraints based on interior solutions.",

keywords = "Control of constrained systems, Interior trajectories, Nonlinear control systems, Time-varying systems",

author = "Aubin-Frankowski, \{Pierre Cyril\}",

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T1 - Stability of solutions for controlled nonlinear systems under perturbation of state constraints

AU - Aubin-Frankowski, Pierre Cyril

PY - 2022/7/1

Y1 - 2022/7/1

N2 - This paper tackles the problem of unbounded nonlinear systems under perturbation of some time-varying state constraints. It is shown that, given a trajectory to be approximated, one can find a neighboring one that lies in the interior of the constraints, and which can be made arbitrarily close to the reference trajectory both in L∞-distance and L2-control cost. This result is an important tool to ference trajectory both in L-distance and L2-control cost. This result is an important tool to prove the convergence of approximation schemes of state constraints based on interior solutions.

AB - This paper tackles the problem of unbounded nonlinear systems under perturbation of some time-varying state constraints. It is shown that, given a trajectory to be approximated, one can find a neighboring one that lies in the interior of the constraints, and which can be made arbitrarily close to the reference trajectory both in L∞-distance and L2-control cost. This result is an important tool to ference trajectory both in L-distance and L2-control cost. This result is an important tool to prove the convergence of approximation schemes of state constraints based on interior solutions.

KW - Control of constrained systems

KW - Interior trajectories

KW - Nonlinear control systems

KW - Time-varying systems

UR - https://www.scopus.com/pages/publications/85142256977

U2 - 10.1016/j.ifacol.2022.09.001

DO - 10.1016/j.ifacol.2022.09.001

M3 - Conference article

AN - SCOPUS:85142256977

SN - 2405-8963

VL - 55

SP - 62

EP - 67

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 16

T2 - 18th IFAC Workshop on Control Applications of Optimization, CAO 2022

Y2 - 18 July 2022 through 22 July 2022

ER -

Stability of solutions for controlled nonlinear systems under perturbation of state constraints

Abstract

Keywords

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