Speed-gradient inverse optimal control for discrete-time nonlinear systems

Fernando Ornelas-Tellez; Edgar N. Sanchez; Alexander G. Loukianov; Eva M. Navarro-Lopez

doi:10.1109/CDC.2011.6160374

Speed-gradient inverse optimal control for discrete-time nonlinear systems

Fernando Ornelas-Tellez, Edgar N. Sanchez, Alexander G. Loukianov, Eva M. Navarro-Lopez

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

Abstract

This paper presents a speed-gradient-based inverse optimal control approach for the asymptotic stabilization of discrete-time nonlinear systems. With the solution presented, we avoid to solve the associated Hamilton-Jacobi-Bellman equation, and a meaningful cost function is minimized. The proposed stabilizing optimal controller uses the speed-gradient algorithm and is based on the proposal of what is called a discrete-time control Lyapunov function. This combined approach is referred to as the speed-gradient inverse optimal control. An example is used to illustrate the methodology. Several simulations are provided. © 2011 IEEE.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control\|Proc IEEE Conf Decis Control
Publisher	IEEE
Pages	290-295
Number of pages	5
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6160374
Publication status	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL Duration: 1 Jul 2011 → …

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
City	Orlando, FL
Period	1/07/11 → …

Keywords

Optimal control
Discrete-time nonlinear systems
Stabilization

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10.1109/CDC.2011.6160374

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@inproceedings{a815d1bb97a0494f9ea9412abd3ff67c,

title = "Speed-gradient inverse optimal control for discrete-time nonlinear systems",

abstract = "This paper presents a speed-gradient-based inverse optimal control approach for the asymptotic stabilization of discrete-time nonlinear systems. With the solution presented, we avoid to solve the associated Hamilton-Jacobi-Bellman equation, and a meaningful cost function is minimized. The proposed stabilizing optimal controller uses the speed-gradient algorithm and is based on the proposal of what is called a discrete-time control Lyapunov function. This combined approach is referred to as the speed-gradient inverse optimal control. An example is used to illustrate the methodology. Several simulations are provided. {\textcopyright} 2011 IEEE.",

keywords = "Optimal control, Discrete-time nonlinear systems, Stabilization",

author = "Fernando Ornelas-Tellez and Sanchez, {Edgar N.} and Loukianov, {Alexander G.} and Navarro-Lopez, {Eva M.}",

year = "2011",

doi = "10.1109/CDC.2011.6160374",

language = "English",

isbn = "9781612848006",

pages = "290--295",

booktitle = "Proceedings of the IEEE Conference on Decision and Control|Proc IEEE Conf Decis Control",

publisher = "IEEE",

address = "United States",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 01-07-2011",

}

Ornelas-Tellez, F, Sanchez, EN, Loukianov, AG & Navarro-Lopez, EM 2011, Speed-gradient inverse optimal control for discrete-time nonlinear systems. in Proceedings of the IEEE Conference on Decision and Control|Proc IEEE Conf Decis Control. IEEE, pp. 290-295, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, 1/07/11. https://doi.org/10.1109/CDC.2011.6160374

TY - GEN

T1 - Speed-gradient inverse optimal control for discrete-time nonlinear systems

AU - Ornelas-Tellez, Fernando

AU - Sanchez, Edgar N.

AU - Loukianov, Alexander G.

AU - Navarro-Lopez, Eva M.

PY - 2011

Y1 - 2011

N2 - This paper presents a speed-gradient-based inverse optimal control approach for the asymptotic stabilization of discrete-time nonlinear systems. With the solution presented, we avoid to solve the associated Hamilton-Jacobi-Bellman equation, and a meaningful cost function is minimized. The proposed stabilizing optimal controller uses the speed-gradient algorithm and is based on the proposal of what is called a discrete-time control Lyapunov function. This combined approach is referred to as the speed-gradient inverse optimal control. An example is used to illustrate the methodology. Several simulations are provided. © 2011 IEEE.

AB - This paper presents a speed-gradient-based inverse optimal control approach for the asymptotic stabilization of discrete-time nonlinear systems. With the solution presented, we avoid to solve the associated Hamilton-Jacobi-Bellman equation, and a meaningful cost function is minimized. The proposed stabilizing optimal controller uses the speed-gradient algorithm and is based on the proposal of what is called a discrete-time control Lyapunov function. This combined approach is referred to as the speed-gradient inverse optimal control. An example is used to illustrate the methodology. Several simulations are provided. © 2011 IEEE.

KW - Optimal control

KW - Discrete-time nonlinear systems

KW - Stabilization

U2 - 10.1109/CDC.2011.6160374

DO - 10.1109/CDC.2011.6160374

M3 - Conference contribution

SN - 9781612848006

SP - 290

EP - 295

BT - Proceedings of the IEEE Conference on Decision and Control|Proc IEEE Conf Decis Control

PB - IEEE

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

Y2 - 1 July 2011

ER -

Speed-gradient inverse optimal control for discrete-time nonlinear systems

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