Robust Control of Linear Systems and Nonlinear Control: Proceedings of the International Symposium MTNS-89, Volume II (Progress in Systems and Control Theory, 4)

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). Front Matter....Pages i-xxiii Nonlinear H ∞ Control Theory: A Literature Survey....Pages 1-12 Primitives for Robot Control....Pages 13-31 Optimal Frequency Domain Design vs. an Area of Several Complex Variables....Pages 33-59 Feedback Stabilization of Nonlinear Systems....Pages 61-81 A Monotonicity Result for the Periodic Riccati Equation....Pages 83-93 Results on Generalised Riccati Equations Arising in Stochastic Control....Pages 95-102 LQ-Problem: The Discrete-Time Time-Varying Case....Pages 103-112 The output-stabilizable subspace and linear optimal control....Pages 113-120 The Decomposition of (A,B)-Invariant Subspaces and Its Applications....Pages 121-128 The Set of Feedback Matrices that Assign the Poles of a System....Pages 129-134 Model matching for linear Hamiltonian systems....Pages 135-142 Connective Stabilization of Large-Scale Systems: A Stable Factorization Approach....Pages 143-150 Riccati Equations, Algebras, and Invariant Systems....Pages 151-157 Maximal order reduction of proper transfer function matrices....Pages 159-176 The Matching Condition and Feedback Controllability of Uncertain Linear Systems....Pages 177-187 Convergence Properties of Indefinite Linear Quadratic Problems with Receding Horizon....Pages 189-196 Generalized Stability of Linear Singularly Perturbed Systems Including Calculation of Maximal Parameter Range....Pages 197-203 Convex Combinations of Hurwitz Functions and Its Applications to Robustness Analysis....Pages 205-213 Designing Strictly Positive Real Transfer Function Families: A Necessary and Sufficient Condition for Low Degree and Structured Families....Pages 215-227 Quadratic Stabilizability of Linear Systems with Structural Independent Time Varying Uncertainties....Pages 229-237 A Finite Zero Exclusion Principle....Pages 239-245 Design of Controller with Asymptotic Disturbance Attenuation....Pages 247-254 Gas Turbine Control Using Mixed Sensitivity H∞-Optimisation....Pages 255-265 Nonlinear H ∞ Theory....Pages 267-276 A J-Spectral Factorization Approach to H ∞ Control....Pages 277-284 Vector Interpolation, H ∞ Control and Model Reduction....Pages 285-292 Sensitivity Minimization and Robust Stabilization by Stable Controller....Pages 293-300 Conjugation and H ∞ Control....Pages 301-308 Necessary and sufficient conditions for the existence of H∞-optimal controllers: An interpolation approach....Pages 309-316 On H ∞ Control, LQG Control and Minimum Entropy....Pages 317-327 Optimal H ∞ — SISO-controllers with structural constraints....Pages 329-338 Super-Optimal H ∞ Design....Pages 339-346 H ∞ Control with State Feedback....Pages 347-354 Convergence Analysis of Self-Tuning Controllers by Bayesian Embedding....Pages 355-359 On Bounded Adaptive Control with Reduced Prior Knowledge....Pages 361-368 Indirect Techniques for Adaptive Input Output Linearization of Nonlinear Systems....Pages 369-386 Interpolation Aproach To the H ∞ Filter Problem....Pages 387-395 Stochastic Disturbance Decoupling....Pages 397-406 Discrete-Time Filtering for Linear Systems in Correlated Noise with Non-Gaussian Initial Conditions: Formulas and Asymptotics....Pages 407-419 Boundary Feedback Stabilization of Distributed Parameter Systems....Pages 421-428 Optimal Nonlinear Feedback System Design for a General Tracking Problem....Pages 429-436 Stability Theory for Differential/Algebraic Systems with Application to Power Systems....Pages 437-445 Feedback Equivalence of Planar Systems and Stabilizability....Pages 447-456 Topologigal Dynamics of Discrete-Time Systems....Pages 457-463 Another Approach to the Local Disturbance Decoupling Problem with Stability for Nonlinear Systems....Pages 465-472 Stabilization of Nonlinear Systems and Coprime Factorization....Pages 473-482 Identification of Linear Systems by Prony’s Method....Pages 483-488 On observability of chaotic systems: an example....Pages 489-496 Interpolating Uniquely with Only a Finite Class of Polynomials....Pages 497-505 Sinc Approximation Method for Coefficient Identification in Parabolic Systems....Pages 507-514 Observability and Harish-Chandra Modules....Pages 515-522 Modelling and Nonlinear Control of an Overhead Crane....Pages 523-529 On Adaptive Linearizing Control of Omnidirectional Mobile Robots....Pages 531-538 Robot Control via Nonlinear Observer....Pages 539-551 Modelling and Simulation of Flexible Beams using Cubic Splines and Zero-Order Holds....Pages 553-564 Towards a differential topological classification of robot manipulators....Pages 565-574 An Adaptive PD Control Algorithm for Robots....Pages 575-582 Comparison of Robustness Measures for a Flexible Structure....Pages 583-590 Robust Stabilization for Infinite-Dimensional Linear Systems Using Normalized Coprime Factorizations....Pages 591-598 Standard Problem for Distributed Systems....Pages 599-608 Robust Stabilization of Delay Systems....Pages 609-616 Topological Aspects of Transfer Matrices with Entries in the Quotient Field of H ∞ ....Pages 617-625 On the Nyquist Criterion and Robust Stabilization for Infinite-Dimensional Systems....Pages 627-634 Real Stability Radii for Infinite Dimensional Systems....Pages 635-646 Robust Stability Condition for Infinite-Dimensional Systems with Internal Exponential Stability....Pages 647-654