Nonlinear control in the year 2000  v. 1 ~ v. 2

Alberto Isidori, Françoise Lamnabhi-Lagarrigue, and Witold Respondek (eds.)

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

[目次]

  • Control of a reduced size model of US navy crane using only motor position sensors.- Algorithms for identification of continuous time nonlinear systems: a passivity approach. Part I: Identification in open-loop operation Part II: Identification in llosed-loop operation.- Flatness-based boundary control of a nonlinear parabolic equation modelling a tubular reactor.- Dynamic feedback transformations of controllable linear time-varying systems.- Asymptotic controllability implies continuous-discrete time feedback stabilizability.- Stabilisation of nonlinear systems by discontinuous dynamic state feedback.- On the stabilization of a class of uncertain systems by bounded control.- Adaptive nonlinear excitation control of synchronous generators with unknown mechanical power.- Nonlinear observers of time derivatives from noisy measurements of periodic signals.- Hamiltonian representation of distributed parameter systems with boundary energy flow.- Differentiable lyapunov function and center manifold theory.- Controlling self-similar traffic and shaping techniques.- Diffusive representation for pseudo-differentially damped nonlinear systems.- Euler's discretization and dynamic equivalence of nonlinear control systems.- Singular systems in dimension 3: Cuspidal case and tangent elliptic flat case.- Flatness of nonlinear control systems and exterior differential systems.- Motion planning for heavy chain systems.- Control of an industrial polymerization reactor using flatness.- Controllability of nonlinear multidimensional control systems.- Stabilization of a series DC motor by dynamic output feedback.- Stabilization of nonlinear systems via forwarding mod{L g V}.- A robust globally asymptotically stabilizing feedback: The example of the artstein's circles.- Robust stabilization for the nonlinear benchmark problem (TORA) using neural nets and evolution strategies.- On convexity in stabilization of nonlinear systems.- Extended goursat normal form: a geometric characterization.- Trajectory tracking for ?-flat nonlinear delay systems with a motor example.- Neuro-genetic robust regulation design for nonlinear parameter dependent systems.- Stability criteria for time-periodic systems via high-order averaging techniques.- Control of nonlinear descriptor systems, a computer algebra based approach.- Vibrational control of singularly perturbed systems.- Recent advances in output regulation of nonlinear systems.- Sliding mode control of the prismatic-prismatic-revolute mobile robot with a flexible joint.- The ISS philosophy as a unifying framework for stability-like behavior.- Control design of a crane for offshore lifting operations.- New theories of set-valued differentials and new versions of the maximum principle of optimal control theory.- Transforming a single-input nonlinear system to a strict feedforward form via feedback.- Extended active-passive decomposition of chaotic systems with application to the modelling and control of synchronous motors.- On canonical decomposition of nonlinear dynamic systems.- New developments in dynamical adaptive backstepping control.

「Nielsen BookData」より

[目次]

  • Subanalyticity of distance and spheres in sub-riemannian geometry.- Principal invariants of Jacobi curves.- The de casteljau algorithm on SE(3).- Trajectory tracking by cascaded backstepping control for a second-order nonholonomic mechanical system.- Static output feedback stabilization: from linear to nonlinear and back.- Semi-linear diffusive representations for nonlinear fractional differential systems.- Controllability properties of a class of control systems on lie groups.- Stability analysis to parametric uncertainty: Extension to the multivariable case.- External stability and continuous Liapunov functions.- Optimal control with harmonic rejection of induction machine.- Nonlinear QFT synthesis based on harmonic balance and multiplier theory.- Group invariance and symmetries in nonlinear control and estimation.- A globalization procedure for locally stabilizing controllers.- Optimal control and implicit Hamiltonian systems.- Robust absolute stability of delay systems.- Stratification du secteur anormal dans la sphere de Martinet de petit rayon.- Toward a nonequilibrium theory for nonlinear control systems.- A regularization of Zubov's equation for robust domains of attraction.- A remark on Ryan's generalization of Brockett's condition to discontinuous stabilizability.- Applications of Lie algebroids in mechanics and control theory.- Observer design for locally observable analytic systems: Convergence and separation property.- An H ?-suboptimal fault detection filter for bilinear systems.- Adaptive control of feedback linearizable systems by orthogonal approximation functions.- Sampled-data low-gain integral control of linear systems with actuator and sensor nonlinearities.- State feedbacks without asymptotic observers and generalized PID regulators.- Eigenstructure of nonlinear hankel operators.- Distributed architecture for teleoperation over the internet.- Singular L-Q problems and the dirac-bergmann theory of constraints.- Robust tracking of multi-variable linear systems under parametric uncertainty.- Flatness-based control of the separately excited DC drive.- State detection and stability for uncertain dynamical systems.- Controllability properties of numerical eigenvalue algorithms.- On the discretization of sliding-mode-like controllers.- Nonlinear adaptive state space control for 2 class of nonlinear systems with unknown parameters.- An observer view on synchronization.- Regularity of the sub-Riemannian distance and cut locus.- Industrial sensorless control of induction motors.- Feedback invariants, critical trajectories and hamiltonian formalism.- Paths in sub-Riemannian geometry.- Observability of C ?-systems for L ?-single-inputs and some examples.- Robust control of a synchronous power generator.

「Nielsen BookData」より

この本の情報

書名 Nonlinear control in the year 2000
著作者等 Isidori, Alberto
Lamnabhi-Lagarrigue, F.
Respondek, W
Lamnabhi-Lagarrigue Francoise
Lanhabhi-Lagarrigue Francoise (CNRS SUPELEC Gif-sur-Yvette France)
Respondek Witold
Workshop of the Nonlinear Control Network
シリーズ名 Lecture notes in control and information sciences
巻冊次 v. 1
v. 2
出版元 Springer
刊行年月 c2001
ページ数 2 v.
大きさ 24 cm
ISBN 1852333642
1852333634
NCID BA49601745
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言語 英語
出版国 イギリス
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