Adaptive Mechanics

1. Front Matter

   Pages i-xxv

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2. Problems and Methods of Adaptive Mechanical-System Control

   1. Front Matter

      Pages 1-1

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   2. Adaptive Stabilization of Mechanical Systems by the Method of Recurrent Objective Inequalities

      • Vladimir Yu. Tertychny-Dauri

      Pages 3-31

   3. Searchless Self-Adjustable Adaptation and Control Systems

      • Vladimir Yu. Tertychny-Dauri

      Pages 33-64

   4. Rate Gradient Algorithms in the Problems of Adaptive Control of Mechanical Systems

      • Vladimir Yu. Tertychny-Dauri

      Pages 65-88

   5. Overview of some Methods and Results of Nonlinear Parametric Synthesis

      • Vladimir Yu. Tertychny-Dauri

      Pages 89-116

3. Integral Transformation Method in the Theory of Adaptive Systems

   1. Front Matter

      Pages 119-119

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   2. Synthesis of Dissipative and Stabilizing Systems of Adaptive Control

      • Vladimir Yu. Tertychny-Dauri

      Pages 121-154

   3. Adaptive Stabilization of Controlled Mechanical Systems in the Conditions of Unknown Parametric Drift

      • Vladimir Yu. Tertychny-Dauri

      Pages 155-182

   4. Optimum Stabilization of Holonomic and Nonholonomic Mechanical Systems

      • Vladimir Yu. Tertychny-Dauri

      Pages 183-220

   5. Parametric Universal Integral Tests in the Problem of Optimal Stabilization of Mechanical Systems

      • Vladimir Yu. Tertychny-Dauri

      Pages 221-243

4. Adaptive Mechanics and Solution of Special Optimization Problems

   1. Front Matter

      Pages 245-245

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   2. Adaptive Optimization Synthesis: Equivalence, Suboptimality, and Robustness

      • Vladimir Yu. Tertychny-Dauri

      Pages 247-286

   3. Optimal Synthesis of Adaptive Mechanical Systems Imposed by General Constraints

      • Vladimir Yu. Tertychny-Dauri

      Pages 287-311

   4. Synthesis of Adaptive Controllable Information Systems Based on the Canonic Hamilton-Jacobi Transformation Method

      • Vladimir Yu. Tertychny-Dauri

      Pages 313-341

   5. Optimization of Adaptive Controllable Distributed Parameter Systems

      • Vladimir Yu. Tertychny-Dauri

      Pages 343-371

5. Back Matter

   Pages 373-507

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Over the last thirty years an abundance of papers have been writ­ ten on adaptive dynamic control systems. Nevertheless, now it may be predicted with confidence that the adaptive mechanics, a new division, new line of inquiry in one of the violently developing fields of cybernetic mechanics, is emerging. The birth process falls far short of being com­ pleted. There appear new problems and methods of their solution in the framework of adaptive nonlinear dynamics. Therefore, the present work cannot be treated as a certain polished, brought-to-perfection school textbook. More likely, this is an attempt to show a number of well­ known scientific results in the parametric synthesis of nonlinear systems (this, strictly speaking, accounts for the availability of many reviews), as well as to bring to notice author's developments on this question undoubtedly modern and topical. The nonlinear, and practically La­ grangian, systems cover a wide class of classical objects in theoretical mechanics, and primarily solid-body (robotic, gyroscopic, rocket-cosmic, and other) systems. And what is rather important, they have a direct trend to practical application. To indicate this discussion, I should like to notice that it does not touch upon the questions concerned with the linear and stochastic con­ trolobjects. Investigated are only nonlinear deterministic systems being in the conditions when some system parameters are either unknown or beyond the reach of measurement, or they execute an unknown limited and fairly smooth drift in time.

• Mathematica
• algorithms
• control
• control system
• optimization
• system

• Institute of Fine Mechanics and Optics, Technical University, St Petersburg, Russia

  Vladimir Yu. Tertychny-Dauri

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