Design and analysis of a novel command governor architecture for shaping the transient response of nonlinear uncertain dynamical systems

Tansel Yucelen, Eric Johnson

Research output: Contribution to journalConference article

4 Citations (Scopus)

Abstract

In this paper, we develop a new control framework for nonlinear uncertain dynamical systems. The proposed methodology consists of a novel command governor architecture and an adaptive controller. The command governor is a linear dynamical system which adjusts the trajectory of a given command to follow an ideal reference system capturing a desired closed-loop dynamical system behavior in transient time. Specifically, we show that the controlled nonlinear uncertain dynamical system approximates the ideal reference system by properly choosing the design parameter of the command governor. In addition, the purpose of the adaptive controller is to asymptotically assure that the error between the controlled nonlinear uncertain dynamical system and the ideal reference system vanishes in steady state. Therefore, the proposed methodology not only has closed-loop transient and steady state performance guarantees but can also shape the transient response by adjusting the trajectory of the given command with the command governor. We highlight that there exists a trade-off between the adaptive controller's learning rate and the command governor's design parameter. This key feature of our framework allows rapid suppression of system uncertainties without resorting to a high learning rate in the adaptive controller. Furthermore, we discuss the robustness properties of the proposed approach with respect to high-frequency dynamical system content such as measurement noise and/or unmodeled dynamics.

Original languageEnglish (US)
Article number6426157
Pages (from-to)2890-2895
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
StatePublished - Dec 1 2012
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012

Fingerprint

Governors
Transient Response
Transient analysis
Dynamical systems
Dynamical system
Controller
Learning Rate
Controllers
Parameter Design
Closed-loop
Trajectory
Unmodeled Dynamics
Linear Dynamical Systems
Trajectories
Performance Guarantee
Transient State
Methodology
Vanish
Robustness (control systems)
Trade-offs

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

@article{bcaf8aa309094f8389337ab11ac9398d,
title = "Design and analysis of a novel command governor architecture for shaping the transient response of nonlinear uncertain dynamical systems",
abstract = "In this paper, we develop a new control framework for nonlinear uncertain dynamical systems. The proposed methodology consists of a novel command governor architecture and an adaptive controller. The command governor is a linear dynamical system which adjusts the trajectory of a given command to follow an ideal reference system capturing a desired closed-loop dynamical system behavior in transient time. Specifically, we show that the controlled nonlinear uncertain dynamical system approximates the ideal reference system by properly choosing the design parameter of the command governor. In addition, the purpose of the adaptive controller is to asymptotically assure that the error between the controlled nonlinear uncertain dynamical system and the ideal reference system vanishes in steady state. Therefore, the proposed methodology not only has closed-loop transient and steady state performance guarantees but can also shape the transient response by adjusting the trajectory of the given command with the command governor. We highlight that there exists a trade-off between the adaptive controller's learning rate and the command governor's design parameter. This key feature of our framework allows rapid suppression of system uncertainties without resorting to a high learning rate in the adaptive controller. Furthermore, we discuss the robustness properties of the proposed approach with respect to high-frequency dynamical system content such as measurement noise and/or unmodeled dynamics.",
author = "Tansel Yucelen and Eric Johnson",
year = "2012",
month = "12",
day = "1",
doi = "10.1109/CDC.2012.6426157",
language = "English (US)",
pages = "2890--2895",
journal = "Proceedings of the IEEE Conference on Decision and Control",
issn = "0191-2216",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Design and analysis of a novel command governor architecture for shaping the transient response of nonlinear uncertain dynamical systems

AU - Yucelen, Tansel

AU - Johnson, Eric

PY - 2012/12/1

Y1 - 2012/12/1

N2 - In this paper, we develop a new control framework for nonlinear uncertain dynamical systems. The proposed methodology consists of a novel command governor architecture and an adaptive controller. The command governor is a linear dynamical system which adjusts the trajectory of a given command to follow an ideal reference system capturing a desired closed-loop dynamical system behavior in transient time. Specifically, we show that the controlled nonlinear uncertain dynamical system approximates the ideal reference system by properly choosing the design parameter of the command governor. In addition, the purpose of the adaptive controller is to asymptotically assure that the error between the controlled nonlinear uncertain dynamical system and the ideal reference system vanishes in steady state. Therefore, the proposed methodology not only has closed-loop transient and steady state performance guarantees but can also shape the transient response by adjusting the trajectory of the given command with the command governor. We highlight that there exists a trade-off between the adaptive controller's learning rate and the command governor's design parameter. This key feature of our framework allows rapid suppression of system uncertainties without resorting to a high learning rate in the adaptive controller. Furthermore, we discuss the robustness properties of the proposed approach with respect to high-frequency dynamical system content such as measurement noise and/or unmodeled dynamics.

AB - In this paper, we develop a new control framework for nonlinear uncertain dynamical systems. The proposed methodology consists of a novel command governor architecture and an adaptive controller. The command governor is a linear dynamical system which adjusts the trajectory of a given command to follow an ideal reference system capturing a desired closed-loop dynamical system behavior in transient time. Specifically, we show that the controlled nonlinear uncertain dynamical system approximates the ideal reference system by properly choosing the design parameter of the command governor. In addition, the purpose of the adaptive controller is to asymptotically assure that the error between the controlled nonlinear uncertain dynamical system and the ideal reference system vanishes in steady state. Therefore, the proposed methodology not only has closed-loop transient and steady state performance guarantees but can also shape the transient response by adjusting the trajectory of the given command with the command governor. We highlight that there exists a trade-off between the adaptive controller's learning rate and the command governor's design parameter. This key feature of our framework allows rapid suppression of system uncertainties without resorting to a high learning rate in the adaptive controller. Furthermore, we discuss the robustness properties of the proposed approach with respect to high-frequency dynamical system content such as measurement noise and/or unmodeled dynamics.

UR - http://www.scopus.com/inward/record.url?scp=84874254155&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874254155&partnerID=8YFLogxK

U2 - 10.1109/CDC.2012.6426157

DO - 10.1109/CDC.2012.6426157

M3 - Conference article

SP - 2890

EP - 2895

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

M1 - 6426157

ER -