Optimal Control

1. Analysis and Synthesis of Nonlinear Systems

   1. Constructing Feedback Control in Differential Games by Use of “Central” Trajectories

      • G. Sonnevend

      Pages 221-247

2. Applications to Mechanical and Aerospace Systems

   1. Front Matter

      Pages 249-249

      PDF

   2. Singular Perturbation Time-Optimal Controller for Disk Drives

      • Mark D. Ardema, Evert Cooper

      Pages 251-263

   3. Optimal Design of Elastic Bars

      • Leszek Mikulski

      Pages 265-272

   4. Combining Direct and Indirect Methods in Optimal Control: Range Maximization of a Hang Glider

      • Roland Bulirsch, Edda Nerz, Hans Josef Pesch, Oskar von Stryk

      Pages 273-288

   5. Periodic Optimal Trajectories with Singular Control for Aircraft with High Aerodynamic Efficiency

      • Gottfried Sachs, Klaus Lesch, Hans Georg Bock, Marc Steinbach

      Pages 289-304

   6. Optimal Flight Paths with Constrained Dynamic Pressure

      • Werner Grimm

      Pages 305-316

   7. Optimal Ascent of a Hypersonic Space Vehicle

      • Kurt Chudej

      Pages 317-326

   8. Controllability Investigations of a Two-Stage-To-Orbit Vehicle

      • Bernd Kugelmann, Hans Josef Pesch

      Pages 327-339

   9. Optimal Design of a Mission to Neptune

      • Rainer Callies

      Pages 341-349

3. Back Matter

   Pages 350-350

   PDF

"Optimal Control" reports on new theoretical and practical advances essential for analysing and synthesizing optimal controls of dynamical systems governed by partial and ordinary differential equations. New necessary and sufficient conditions for optimality are given. Recent advances in numerical methods are discussed. These have been achieved through new techniques for solving large-sized nonlinear programs with sparse Hessians, and through a combination of direct and indirect methods for solving the multipoint boundary value problem. The book also focuses on the construction of feedback controls for nonlinear systems and highlights advances in the theory of problems with uncertainty. Decomposition methods of nonlinear systems and new techniques for constructing feedback controls for state- and control constrained linear quadratic systems are presented. The book offers solutions to many complex practical optimal control problems.

• Calculus of Variations
• Eigenvalue
• Evolution
• Optimal control
• boundary value problem
• calculus
• differential equation
• maximum
• minimum
• numerical methods
• optimization

• Mathematisches Institut, TH München, München 2, Germany

  R. Bulirsch

• Dept. of Mechanical Engineering and Materials Science, Houston, USA

  A. Miele

• Mathematik u. Statistik, Inst. f. Angewandte, Würzburg, Germany

  J. Stoer

• Inst. f. Flugmechanik u. Flugregelung, Universität Stuttgart, Stuttgart, Germany

  K. Well

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