A method for optimal control and filtering of multitime-scale linear singularly-perturbed stochastic systems

Prljaca, Naser; Gajić, Zoran

doi:10.1016/j.automatica.2007.12.001

Cited by 9 publications

(4 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…35 In the recent years, singularly perturbed systems have been widely studied and multi-timescale approach has been combined with other control methods and applied into various control problems. [36][37][38][39][40][41] Based on the nominal controller designed in the previous section, which is aimed at the compensation of input delay, a multi-timescale system is introduced to handle the unknown input nonlinearity in the following discussion.…”

Section: Multi-timescale System Design For Input Nonlinear Uncertaintiesmentioning

confidence: 99%

“…Multi‐timescale method is generated from singular perturbation theory that was proposed by Kokotovic, and practical problems indicate that the multi‐timescale properties inherent in dynamical systems can be characterized by fast and slow transients . In the recent years, singularly perturbed systems have been widely studied and multi‐timescale approach has been combined with other control methods and applied into various control problems . Based on the nominal controller designed in the previous section, which is aimed at the compensation of input delay, a multi‐timescale system is introduced to handle the unknown input nonlinearity in the following discussion.…”

Section: Multi‐timescale System Design For Input Nonlinear Uncertaintiesmentioning

confidence: 99%

See 1 more Smart Citation

Two‐stage stability control for strict‐feedback systems with input delays and input nonlinear uncertainties

Yan

Sun

Fei

2018

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary In this paper, a two‐stage control procedure is proposed for stabilization of a class of strict‐feedback systems with unknown constant time delays and nonlinear uncertainties in the input. A nominal controller is first designed to compensate input time delays without considering input nonlinear uncertainties. Extended from backstepping algorithm, input delay compensation is realized by means of predicted states that are computed through integration of cascaded system dynamics, making the nominal closed‐loop system asymptotically stable. Based on the nominal controller presented for the input delay system, a multi‐timescale system is subsequently developed to estimate the unknown input nonlinearity and make the estimate approach the nominal control input as fast as possible. It is proved that the proposed control scheme can make states of the strict‐feedback systems converge to zero and all the signals of the closed‐loop systems are guaranteed to be bounded in the presence of input time delays and nonlinear uncertainties. Simulation verification is carried out to illuminate the effectiveness of the proposed control approach.

show abstract

Section: Multi-timescale System Design For Input Nonlinear Uncertaintiesmentioning

confidence: 99%

Section: Multi‐timescale System Design For Input Nonlinear Uncertaintiesmentioning

confidence: 99%

Two‐stage stability control for strict‐feedback systems with input delays and input nonlinear uncertainties

Yan

Sun

Fei

2018

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…In addition, the electric power system can be somehow converted to a generator voltage regulator by a singular perturbation method (Vournas et al, 1995). As to automation, flexible robot links have often been studied by a perturbation technique (Ge and Cheng, 2005;Khalil and Kokotovic 1979;Ladde and Siljak, 1983;Prljaca and Gajic, 2008;Rasmussen and Alleyne, 2004;Shtessel and Shkolnikov, 2003;Shtessel et al, 2002;Spong, 1989;Tsai et al, 2007).…”

Section: Introductionmentioning

confidence: 99%

Model reduction and composite control for overhead hoist transport system by singular perturbation technique

Tsai

Chen

Shih

et al. 2011

Journal of Vibration and Control

View full text Add to dashboard Cite

An innovative Overhead Hoist Transport (OHT) system is proposed and analyzed to transport fragile semi-finished products in factories. A triplet of double-link arm is used to carry the load, in replacement of the cables used conventionally. Unlike conventional OHT, the proposed OHT exhibits superior capability for high-speed transportation, flexible stiffness and is able to account for the inherent auto-sway characteristics and parameters uncertainties of the OHT system. The three-time-scale plant model of the OHT system, including the drive motors, flexible links and rigid links, is developed. By singular perturbation order-reduction technique, the highly nonlinear high-order dynamics of the OHT system can be modeled as a low-order linearized plant so that the synthesis of the feedback controller becomes simpler. The composite control, composed of sliding mode control and input shaping technique, is proposed. The sliding mode control is, as usual, employed to account for the system parameters uncertainties. On the other hand, to suppress theresidual vibration, i.e., auto-swaying, the input shaping technique is utilized by implementation of a finite-length sequence of impulses in the appropriate amplitude and time epoch. Finally, the efficacy of the proposal composite control strategy is examined and verified by intensive computer simulations.

show abstract

“…Suspension of quarter-car model has been studied by two-time-scale approach [20]. Moreover, multiple-time-scale singularly perturbed systems were discovered in engineering applications [21,22].…”

Section: Introductionmentioning

confidence: 99%

Spindle position regulation for wind power generators

Tsai

Chiang

2010

Mechanical Systems and Signal Processing

View full text Add to dashboard Cite

A method for optimal control and filtering of multitime-scale linear singularly-perturbed stochastic systems

Cited by 9 publications

References 14 publications

Two‐stage stability control for strict‐feedback systems with input delays and input nonlinear uncertainties

Two‐stage stability control for strict‐feedback systems with input delays and input nonlinear uncertainties

Model reduction and composite control for overhead hoist transport system by singular perturbation technique

Spindle position regulation for wind power generators

Contact Info

Product

Resources

About