Comments on integral variants of ISS
Systems & Control Letters
Brief Stability of extremum seeking feedback for general nonlinear dynamic systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Brief Adaptive extremum seeking control of nonlinear dynamic systems with parametric uncertainties
Automatica (Journal of IFAC)
Extremum seeking control for soft landing of an electromechanical valve actuator
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Technical communique: On the choice of dither in extremum seeking systems: A case study
Automatica (Journal of IFAC)
Brief paper: On global extremum seeking in the presence of local extrema
Automatica (Journal of IFAC)
Robust and adaptive design of numerical optimization-based extremum seeking control
Automatica (Journal of IFAC)
3-D Source seeking for underactuated vehicles without position measurement
IEEE Transactions on Robotics
Air flow control in fuel cell systems: an extremum seeking approach
ACC'09 Proceedings of the 2009 conference on American Control Conference
Extremum seeking with very slow or drifting sensors
ACC'09 Proceedings of the 2009 conference on American Control Conference
Brief paper: Speed regulation in steering-based source seeking
Automatica (Journal of IFAC)
Source seeking for two nonholonomic models of fish locomotion
IEEE Transactions on Robotics
Brief paper: Stochastic source seeking for nonholonomic unicycle
Automatica (Journal of IFAC)
Continuous-Time Stochastic Averaging on the Infinite Interval for Locally Lipschitz Systems
SIAM Journal on Control and Optimization
Analysis for a class of singularly perturbed hybrid systems via averaging
Automatica (Journal of IFAC)
Multivariable Newton-based extremum seeking
Automatica (Journal of IFAC)
Fast extremum-seeking for Wiener-Hammerstein plants
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
A non-gradient approach to global extremum seeking: An adaptation of the Shubert algorithm
Automatica (Journal of IFAC)
Extremum-seeking control for nonlinear systems with periodic steady-state outputs
Automatica (Journal of IFAC)
Lie bracket approximation of extremum seeking systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 22.17 |
In this paper, we consider several extremum seeking schemes and show under appropriate conditions that these schemes achieve extremum seeking from an arbitrarily large domain of initial conditions if the parameters in the controller are appropriately adjusted. This non-local stability result is proved by showing semi-global practical stability of the closed-loop system with respect to the design parameters. We show that reducing the size of the parameters typically slows down the convergence rate of the extremum seeking controllers and enlarges the domain of the attraction. Our results provide guidelines on how to tune the controller parameters in order to achieve extremum seeking. Simulation examples illustrate our results.