Robust Control of Linear Systems and Nonlinear Control

This volume is the second of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathemat­ ical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989 The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The second volume contains invited papers and a large selection of other symposium presentations in the vast area of robust and nonlinear control. Modern developments in robust control and H-infinity theory, for finite as well as for infinite dimensional systems, are presented. A large part of the volume is devoted to nonlinear control. Special atten­ tion is paid to problems in robotics. Also the general theory of nonlinear and infinite dimensional systems is discussed. A couple of papers deal with problems of stochastic control and filterina. vi Preface The titles of the two other volumes are: Realization and Modelling in System Theory (volume 1) and Signal Processing, Scattering and Operator Theory, and Numerical Methods (volume 3).

Invited Papers.- Nonlinear H-infinity control theory: A literature survey.- Primitives for robot control.- Optimal frequency design vs. an area of several complex variables.- Feedback stabilization of nonlinear systems.- Multivariable Feedback.- A monotonicity result for the periodic Riccati equation.- Results on generalized Riccati equations arising in stochastic control.- LQ-Problem: The discrete-time time-varying case.- The output-stabilizable subspace and linear optimal control.- The decomposition of (A,B) invariant subspaces and its application.- The set of feedback matrices that assign the poles of a system.- Model matching for linear Hamiltonian systems.- Connective stabilization of large-scale systems: A stable factorization approach.- Riccati equations, algebras, and invariant systems.- Maximal order reduction of proper transfer function matrices.- The matching condition and feedback controllability of uncertain linear systems.- Convergence properties of indefinite linear quadratic problems with receding horizon.- Robust Control.- Generalized stability of linear singularly perturbed systems including calculation of maximal parameter range.- Convex combinations of Hurwitz functions and its applications to robustness analysis.- Designing strictly positive real transfer function families: A necessary and sufficient condition for low degree and structured families.- Quadratic stabilizability of linear systems with structural independent time varying uncertainties.- A finite zero exclusion principle.- Design of controller with asymptotic disturbance attenuation.- H-infinity Control.- Gas turbine control using mixed sensitivity H-infinity optimisation.- Nonlinear H-infinity Theory.- A J-spectral factorization approach to H-infinity control.- Vector interpolation, H-infinity control and model reduction.- Sensitivity minimization and robust stabilization by stable controller.- Conjugation and H-infinity control.- Necessary and sufficient conditions for the existence of H-infinity con trollers: An interpolation approach.- On H-infinity contro4 LQG control and minimum entropy.- Optimal H-infinity SISO-controllers with structural constraints.- Super optimal H-infinity design.- H-infinity control with state feedback.- Adaptive Control.- Convergence analysis of self-tuning controllers by Bayesian embedding.- On bounded adaptive control with reduced prior knowledge.- Indirect techniques for adaptive input output linearization of nonlinear systems.- Stochastic Control and Filtering.- Interpolation approach to the H-infinity filter problem.- Stochastic disturbance decoupling.- Discrete-time filtering for linear systems in correlated noise with non-Gaussian initial conditions: Formulas and asymptotics.- Nonlinear Control.- Boundary feedback stabilization of distributed parameter systems.- Optimal nonlinear feedback system design for a general tracking problem.- Stability theory for differential/algebraic systems with application to power systems.- Feedback equivalence of planar systems and stabilizability.- Topological dynamics of discrete-time systems.- Another approach to the local disturbance decoupling problem with stability for nonlinear systems.- Stabilization of nonlinear systems and coprime factorization.- Observability and Identification of Nonlinear Systems.- Identification of linear systems via Prony’s method.- On observability of chaotic systems: an example.- Interpolating uniquely with only a finite class of polynomials.- Sinc approximation method for coefficient identification in parabolic systems.- Observability and Harish-Chandra Modules.- Robotics.- Modelling and nonlinear control of an overhead crane.- On adaptive linearizing control of omnidirectional mobile robots.- Robot control via nonlinear observer.- Modelling and simulation of flexible beams using cubic splines and zero-order holds.- Towards a differential topological classification of robot manipulators.- An adaptive PD control algorithm for robots.- Robustness of Infinite-Dimensional Systems.- Comparison of robustness measures for a flexible structure.- Robust stabilization for infinite-dimensional linear systems using normalized co-prime factorizations.- Standard problem for distributed systems.- Robust stabilization of delay systems.- Topological aspects of transfer matrices with entries in the quotient field of H-infinity.- On the Nyquist criterion and robust stabilization for infinite-dimensional systems.- Real stability radii for infinite dimensional systems.- Robust stability condition for infinite-dimensional systems with internal exponential stability.