TY  - BOOK
AU  - Scheinker,Alexander
AU  - Krstić,Miroslav
ED  - SpringerLink (Online service)
TI  - Model-Free Stabilization by Extremum Seeking
T2  - SpringerBriefs in Control, Automation and Robotics,
SN  - 9783319507903
AV  - TJ212-225 
U1  - 629.8 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Control engineering
KW  - System theory
KW  - Calculus of variations
KW  - Particle acceleration
KW  - Artificial intelligence
KW  - Control and Systems Theory
KW  - Systems Theory, Control
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Particle Acceleration and Detection, Beam Physics
KW  - Artificial Intelligence
N1  - Introduction -- Weak Limit Averaging for Studying the Dynamics of Extremum-Seeking-Stabilized Systems -- Minimization of Lyapunov Functions -- Control Affine Systems -- Non-C2 Extremum Seeking -- Bounded Extremum Seeking -- Extremum Seeking for Stabilization of Systems Not Affine in Control -- General Choice of Extremum-Seeking Dithers -- Application Study: Particle Accelerator Tuning; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - With this brief, the authors present algorithms for model-free stabilization of unstable dynamic systems. An extremum-seeking algorithm assigns the role of a cost function to the dynamic system’s control Lyapunov function (clf) aiming at its minimization. The minimization of the clf drives the clf to zero and achieves asymptotic stabilization. This approach does not rely on, or require knowledge of, the system model. Instead, it employs periodic perturbation signals, along with the clf. The same effect is achieved as by using clf-based feedback laws that profit from modeling knowledge, but in a time-average sense. Rather than use integrals of the systems vector field, we employ Lie-bracket-based (i.e., derivative-based) averaging. The brief contains numerous examples and applications, including examples with unknown control directions and experiments with charged particle accelerators. It is intended for theoretical control engineers and mathematicians, and practitioners working in various industrial areas and in robotics
UR  - https://doi.org/10.1007/978-3-319-50790-3
ER  -