Lecture Notes in Control and Information Sciences

Volume 2

By: Alberto Isidori (Editor), Francoise Lamnabhi-Lagarrigue (Editor), Witold Respondek (Editor)

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Paperback | 17 November 2000

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Control of nonlinear systems, one of the most active research areas in control theory, has always been a domain of natural convergence of research interests in applied mathematics and control engineering. The theory has developed from the early phase of its history, when the basic tool was essentially only the Lyapunov second method, to the present day, where the mathematics ranges from differential geometry, calculus of variations, ordinary and partial differential equations, functional analysis, abstract algebra and stochastic processes, while the applications to advanced engineering design span a wide variety of topics, which include nonlinear controllability and observability, optimal control, state estimation, stability and stabilization, feedback equivalence, motion planning, noninteracting control, disturbance attenuation, asymptotic tracking. The reader will find in the book methods and results which cover a wide variety of problems: starting from pure mathematics (like recent fundamental results on (non)analycity of small balls and the distance function), through its applications to all just mentioned topics of nonlinear control, up to industrial applications of nonlinear control algorithms.

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Control of a reduced size model of US navy crane using only motor position sensors	p. 1
Algorithms for identification of continuous time nonlinear systems: a passivity approach	p. 13
Flatness-based boundary control of a nonlinear parabolic equation modelling a tubular reactor	p. 45
Dynamic feedback transformations of controllable linear time-varying systems	p. 55
Asymptotic controllability implies continuous-discrete time feedback stabilizability	p. 63
Stabilisation of nonlinear systems by discontinuous dynamic state feedback	p. 81
On the stabilization of a class of uncertain systems by bounded control	p. 95
Adaptive nonlinear control of synchronous generators	p. 107
Nonlinear observers of time derivatives from noisy measurements of periodic signals	p. 123
Hamiltonian representation of distributed parameter systems with boundary energy flow	p. 137
Differentiable Lyapunov function and center manifold theory	p. 143
Controlling self-similar traffic and shaping techniques	p. 149
Diffusive representation for pseudo-differentially damped nonlinear systems	p. 163
Euler's discretization and dynamic equivalence of Nonlinear Control Systems	p. 183
Singular systems in dimension 3: cuspidal case and tangent elliptic flat case	p. 193
Flatness of nonlinear control systems and exterior differential systems	p. 205
Motion planning for heavy chain systems	p. 229
Control of an industrial polymerization reactor using flatness	p. 237
Controllability of nonlinear multidimensional control systems	p. 245
Stabilization of a series DC motor by dynamic output feedback	p. 257
Stabilization of nonlinear systems via Forwarding mod{L[subscript g]V}	p. 265
A robust globally asymptotically stabilizing Feedback: The example of the Artstein's circles	p. 279
Robust stabilization for the nonlinear benchmark problem (TORA) using neural nets and evolution strategies	p. 301
On convexity in stabilization of nonlinear systems	p. 315
Extended Goursat normal form: a geometric characterization	p. 323
Trajectory tracking for [pi]-flat nonlinear delay systems with a motor example	p. 339
Neuro-genetic robust regulation design for nonlinear parameter dependent systems	p. 353
Stability criteria for time-periodic systems via high-order averaging techniques	p. 365
Control of nonlinear descriptor systems, a computer algebra based approach	p. 379
Vibrational control of singularly perturbed systems	p. 397
Recent advances in output regulation of nonlinear systems	p. 409
Sliding mode control of the PPR mobile robot with a flexible joint	p. 421
The ISS philosophy as a unifying framework for stability-like behavior	p. 443
Control design of a crane for offshore lifting operations	p. 469
Set-valued differentials and the maximum principle of optimal control	p. 487
Transforming a single-input nonlinear system to a strict feedforward form via feedback	p. 527
Extended active-passive decomposition of chaotic systems	p. 543
On canonical decomposition of nonlinear dynamic systems	p. 555
New developments in dynamical adaptive backstepping control	p. 565
List of participants at the 2nd NCN Workshop	p. 623
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Control and Information Sciences

Volume 2

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