Experimental application of extremum seeking on an axial-flow compressor

Wang, Hsin-Hsiung; Yeung, S.; Krstić, Miroslav

doi:10.1109/87.826801

Cited by 140 publications

(14 citation statements)

References 14 publications

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“…Part of the reason for this sudden surge in interest is due to a pivotal paper in 2000, which provided the first rigorous mathematical proof of stability in a general nonlinear extremum-seeking system [2]. Since then, various engineering and industrial applications of extremum seeking control have been explored, including maximising pressure rise in an aeroengine compressor [3], optimising power output of wind turbines [4], and minimising power demand during formation flight [5], to name a few. On the theoretical front, some notable works include automatic tuning of PID gains [6], limit cycle All authors are with the Department of Aerospace Engineering, University of Bristol, Bristol, BS8 1TR UK.…”

Section: Introductionmentioning

confidence: 99%

Assessing Performance of an Extremum Seeking Controller Using Continuation Methods

Nguyen

Löwenberg

Neild

2022

2022 IEEE Conference on Control Technology and Applications (CCTA)

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In order to assess the performance of an extremum seeking controllers, many restrictive assumptions have to be made due to the presence of a harmonic forcing signal, and the process remains mathematically intensive. We propose the use of bifurcation analysis and numerical continuation to provide a simple numerical framework to investigate the dynamics of an extremum seeking system. Using the example of a poorly-tuned auto-trim system on a nonlinear airliner model, the advantage of bifurcation analysis and continuation is demonstrated, including the ability to directly identify the oscillation amplitude and stability information. Other behaviours common in nonlinear harmonically-forced systems, such as existence of multiple solutions and bifurcations leading to multi-harmonic responses, are also detected. The purpose of this paper is to demonstrate the advantages of continuation in characterising the dynamics of an extremum seeking controller and to present this promising controller scheme to the wider aeronautics audience.

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Section: Introductionmentioning

confidence: 99%

Assessing Performance of an Extremum Seeking Controller Using Continuation Methods

Nguyen

Löwenberg

Neild

2022

2022 IEEE Conference on Control Technology and Applications (CCTA)

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“…Extremum seeking (ES) is a model-free optimization approach [23][24][25] for systems with unknown dynamics and with a measurable output which has been applied to a wide range of technical applications [26][27][28][29][30]. The first proof of stability for an extremum seeking feedback scheme was provided by Krstić and Wang [24].…”

Section: Introductionmentioning

confidence: 99%

Multivariable Extremum Seeking for Joint-Space Trajectory Optimization of a High-Degrees-of-Freedom Robot

Bagheri

Krstić

2018

Journal of Dynamic Systems, Measurement, and Control

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In this paper, a novel analytical coupled trajectory optimization of a seven degrees-of-freedom (7DOF) Baxter manipulator utilizing extremum seeking (ES) approach is presented. The robotic manipulators are used in network-based industrial units, and even homes, by expending a significant lumped amount of energy, and therefore, optimal trajectories need to be generated to address efficiency issues. These robots are typically operated for thousands of cycles resulting in a considerable cost of operation. First, coupled dynamic equations are derived using the Lagrangian method and experimentally validated to examine the accuracy of the model. Then, global design sensitivity analysis is performed to investigate the effects of changes of optimization variables on the cost function leading to select the most effective ones. We examine a discrete-time multivariable gradient-based ES scheme enforcing operational time and torque saturation constraints in order to minimize the lumped amount of energy consumed in a path given; therefore, time-energy optimization would not be the immediate focus of this research effort. The results are compared with those of a global heuristic genetic algorithm (GA) to discuss the locality/globality of optimal solutions. Finally, the optimal trajectory is experimentally implemented to be thoroughly compared with the inefficient one. The results reveal that the proposed scheme yields the minimum energy consumption in addition to overcoming the robot's jerky motion observed in an inefficient path.

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“…Extremum seeking has been used in diverse applications with unknown/uncertain systems [14][15][16][17][18], such as steering vehicles toward a source in GPS-denied environments [19][20][21], active flow control [22,23], aeropropulsion [24], cooling systems [25,26], wind energy [27], photovoltaics [28,29], electromagnetic valve actuation [30], human exercise machines [31], controlling Tokamak plasmas [32], PID gain tuning [33], enhancing mixing in magnetohydrodynamic channel flows [34], beam matching [35], axial flow compression [36], and laser pulse shaping [37].…”

Section: Introductionmentioning

confidence: 99%

Non-C2 Lie Bracket Averaging for Nonsmooth Extremum Seekers

Scheinker

Krstić

2013

Journal of Dynamic Systems, Measurement, and Control

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A drawback of extremum seeking-based control is the introduction of a high frequency oscillation into a system's dynamics, which prevents even stable systems from settling at their equilibrium points. In this paper, we develop extremum seeking-based controllers whose control efforts, unlike that of traditional extremum seeking-based schemes, vanish as the system approaches equilibrium. Because the controllers that we develop are not differentiable at the origin, in proving a form of stability of our control scheme we start with a more general problem and extend the semiglobal practical stability result of Moreau and Aeyels to develop a relationship between systems and their averages even for systems which are nondifferentiable at a point. More specifically, in order to apply the practical stability results to our control scheme, we extend the Lie bracket averaging result of Kurzweil, Jarnik, Sussmann, Liu, Gurvits, and Li to non-C2 functions. We then improve on our previous results on model-independent semiglobal exponential practical stabilization for linear time-varying single-input systems under the assumption that the time-varying input vector, which is otherwise unknown, satisfies a persistency of excitation condition over a sufficiently short window.

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Experimental application of extremum seeking on an axial-flow compressor

Cited by 140 publications

References 14 publications

Assessing Performance of an Extremum Seeking Controller Using Continuation Methods

Assessing Performance of an Extremum Seeking Controller Using Continuation Methods

Multivariable Extremum Seeking for Joint-Space Trajectory Optimization of a High-Degrees-of-Freedom Robot

Non-C2 Lie Bracket Averaging for Nonsmooth Extremum Seekers

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