IUTAM Symposium on Dynamics and Control of Nonlinear Systems With Uncertainty

by Hu, H. Y.; Kreuzer, E.

• ISBN13: 9781402063312
• ISBN10: 1402063318
• Format: Hardcover
• Copyright: 2007-08-01
• Publisher: Springer Verlag

Summary

The concept of dynamics and control implies the combination of dynamic analysis and control synthesis. It is essential to gain an insight into the dynamics of a nonlinear system with uncertainty if any new control strategy is designed to utilize nonlinearity. However, the new control strategy to be proposed must be robust enough so that any unexpected small disturbances will not alter the desired target of control. Such a concept is calling more attention to the modelling and simplification of dynamic systems subject to uncertain environment, the fine analysis and robust design of controlled dynamic systems based on either good understanding of nonlinear phenomena or artificial intelligence, the combination of passive control, active control and semi-active control, as well as the interaction among sensors, controllers and actuators.

Table of Contents

Nonlinear multi-body dynamics of seat-occupant systems using experimentally identified viscoelastic models of polyurethne foam	p. 1
Data-based stochastic models of uncertain nonlinear systems	p. 11
Overturning probability of railway vehicles under wind gust loads	p. 23
Impact systems with uncertainty	p. 33
Uncertainty propagation in complex engineering systems by advanced Monte Carlo methods	p. 45
Trajectory tubes in control and estimation problems under uncertainty	p. 55
Cell mapping applied to random dynamical systems	p. 65
Numerical analysis of bifurcation and chaos response in a cracked rotor system under white noise disturbance	p. 77
The maximal Lyapunov exponent for a stochastic system	p. 87
Stability and density analysis of stochastic duffing oscillators	p. 97
Uncertainties in deterministic dynamical systems and the coherence of stochastic dynamical systems	p. 109
The cell mapping method for approximating the invariant manifolds	p. 117
Dynamical fractal dimension : direct and inverse problems	p. 127
Ray stability for range-dependent background sound speed profiles	p. 137
Application of extended averaged equations to nonlinear vibration analysis	p. 147
Singularity analysis on constrained bifurcations	p. 157
Nonlinear analysis of rotor dynamics by using the method of multiple scales	p. 167
Nonlinear dynamics of a spur gear pair with slight wear fault	p. 177
A combined continuation and penalty method for the determination of optimal hybrid mechanical trajectories	p. 187
Numerical prediction and experimental observation of triple pendulum dynamics	p. 197
Nonlinear vibration modes and energy localization in micro-resonator arrays	p. 207
Parametric resonance of an axially accelerating viscoelastic beam with non-typical boundary conditions	p. 217
Dynamics of a body controlled by internal motions	p. 227
Linear and nonlinear elastodynamics of nonshallow cables	p. 237
Nonlinear normal modes of homoclinic orbits and their use for dimension reduction in chaos control	p. 247
Rotating slip stick separation waves	p. 257
Many pulses homoclinic orbits and chaotic dynamics for nonlinear nonplanar motion of a cantilever beam	p. 267
Synthesis of bounded control for nonlinear uncertain mechanical systems	p. 277
Controlled vibration suppression of structural telescopic systems	p. 287
Influence of a pendulum absorber on the nonlinear behavior and instabilities of a tall tower	p. 297
Robust flutter control of an airfoil section through an ultrasonic motor	p. 307
Periodization and synchronization of duffing oscillators suspended on elastic beam	p. 317
Effects of noise on synchronization and spatial patterns in coupled neuronal systems	p. 323
Stability and response of stochastic delayed systems with delayed feedback control	p. 333
Robust time-periodic control of time-delayed systems	p. 343
Self-interrupted regenerative turning	p. 353
Robust stability of time-delay systems with uncertain parameters	p. 363
Dynamics due to non-resonant double hopf bifurcationin in Van Del Pol-duffing system with delayed position feedback	p. 373
Stability and response of quasi integrable Hamiltonian systems with time-delayed feedback control	p. 383
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