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This volume contain thirty-one papers based on talks delivered at the 4th Workshop of the Nonlinear Control Network , held at The University of She?eld, 25 28 June, 2001. We would like to emphasize one peculiarity of our ?eld: nonlinear control is an example of a theory situated at a crossroad between mathematics and engineering science. Due to this position, nonlinear control has its roots in both ?elds and, as we deeply believe, can bring new ideas and new results for both domains. The book re?ects very well this double character of nonlinear control theory: the reader will ?nd in it results which cover a wide varietyofproblems:startingfrompuremathematics,throughitsapplications to nonlinear feedback design, and all the way to recent industrial advances. The following delivered invited talks at the Workshop : Frank Allgower, Alessandro Astol?, Riccardo Marino Francoise Lamnabhi-Lagarrigue, Wei Lin and Malcolm Smith Altogether the book contains 31 papers and therefore it is impossible to mention here all the discussed topics.
List of contents
Invariant manifolds, asymptotic immersion and the (adaptive) stabilization of nonlinear systems.- Robust control of a nonlinear fluidics problem.- Optimal control of the Schrödinger equation with two or three levels.- Strong robustness in adaptive control.- On composition of Dirac structures and its implications for control by interconnection.- Adaptive nonlinear excitation control of synchronous generators.- Parameter identification for nonlinear pneumatic cylinder actuators.- The quasi-infinite horizon approach to nonlinear model predictive control.- State and parameter identification for nonlinear uncertain systems using variable structure theory.- Stabilizing memoryless controllers and controls with memory for a class of uncertain, bilinear systems with discrete and distributed delays.- Sliding mode control of a full-bridge unity power factor rectifier.- Flatness-based control of the induction drive minimising energy dissipation.- Exact feedforward linearisation based on differential flatness: The SISO case.- Local controlled dynamics.- Adaptive feedback passivity of nonlinear systems with sliding mode.- Linear algebraic tools for discrete-time nonlinear control systems with Mathematica.- Adaptive compensation of multiple sinusoidal disturbances with unknown frequencies.- Backstepping algorithms for a class of disturbed nonlinear nontriangular systems.- Nonminimum phase output tracking using sliding modes.- Goursat distributions not strongly nilpotent in dimensions not exceeding seven.- Stabilizability for boundary-value control systems using symbolic calculus of pseudo-differential operators.- Multi-periodic nonlinear repetitive control: Feedback stability analysis.- Perturbed hybrid systems, applications in control theory.- Global stabilization of nonlinearsystems: A continuous feedback framework.- On computation of the logarithm of the Chen-Fliess series for nonlinear systems.- On the efficient computation of higher order maps ad f k g(x) using Taylor arithmetic and the Campbell-Baker-Hausdorff formula.- Nonlinear M.I.S.O. direct-inverse compensation for robust performance speed control of an S.I. engine.- Exact delayed reconstructors in nonlinear discrete-time systems control.- Generalized PID control of the average boost converter circuit model.- Sliding mode observers for robust fault reconstruction in nonlinear systems.- Real-time trajectory generation for flat systems with constraints.
