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Optimal control
强大工业控制系统:多项式系统化化设计途径
ISBN:9780470020739,出版年:2006,中图分类号:TP 被引 353次

Introduction to optimal robust control scalar LQG optimal control problem and solution scalar H infinity optimal control problem and solution multivariable LQG optimal control problems and solution multivariable H infinity optimal control problem and solution robust control design procedures H2 optimal filtering smoothing and prediction problems H infinity optimal filtering smoothing and prediction problems industrial applications of H infinity optimal control.

鲁棒控制设计 - 最优控制方法
ISBN:9780470031919,出版年:2007,中图分类号:TP 被引 316次

Preface. Notation. 1 Introduction. 1.1 Systems and Control 1.2 Modern Control Theory 1.3 Stability 1.4 Optimal Control 1.5 Optimal Control Approach 1.6 Kharitonov Approach 1.7 H- and H2 Control 1.8 Applications 1.9 Use of This Book 2 Fundamentals of Control Theory. 2.1 State Space Model 2.2 Responses of Linear Systems 2.3 Similarity Transformation 2.4 Controllability and Observability 2.5 Pole Placement by State Feedback 2.6 Pole Placement Using Observer 2.7 Notes and References 2.8 Problems 3 Stability Theory. 3.1 Stability and Lyapunov Theorem 3.2 Linear Systems 3.3 Routh-Hurwitz Criterion 3.4 Nyquist Criterion 3.5 Stabilizability and Detectability 3.6 Notes and References 3.7 Problems 4 Optimal Control and Optimal Observers. 4.1 Optimal Control Problem 4.2 Principle of Optimality 4.3 Hamilton-Jacobi-Bellman Equation 4.4 Linear Quadratic Regulator Problem 4.5 Kalman Filter 4.6 Notes and References 4.7 Problems 5 Robust Control of Linear Systems. 5.1 Introduction 5.2 Matched Uncertainty 5.3 Unmatched Uncertainty 5.4 Uncertainty in the Input Matrix 5.5 Notes and References 5.6 Problems 6 Robust Control of Nonlinear Systems. 6.1 Introduction 6.2 Matched Uncertainty 6.3 Unmatched Uncertainty 6.4 Uncertainty in the Input Matrix 6.5 Notes and References 6.6 Problems 7 Kharitonov Approach. 7.1 Introduction 7.2 Preliminary Theorems 7.3 Kharitonov Theorem 7.4 Control Design Using Kharitonov Theorem 7.5 Notes and References 7.6 Problems 8 H and H2 Control. 8.1 Introduction 8.2 Function Space 8.3 Computation of H2 and H- Norms 8.4 Robust Control Problem as H2 and H- Control Problem 8.5 H2/H- Control Synthesis 8.6 Notes and References 8.7 Problems 9 Robust Active Damping. 9.1 Introduction 9.2 Problem Formulation 9.3 Robust Active Damping Design 9.4 Active Vehicle Suspension System 9.5 Discussion 9.6 Notes and References 10 Robust Control of Manipulators. 10.1 Robot Dynamics 10.2 Problem Formulation 10.3 Robust Control Design 10.4 Simulations 10.5 Notes and References 11 Aircraft Hovering Control. 11.1 Modelling and Problem Formulation 11.2 Control Design for Jet-borne Hovering 11.3 Simulation 11.4 Notes and References Appendix A: Mathematical Modelling of Physical Systems. References and Bibliography. Index.

计算最优控制:工具与实践
ISBN:9780470714409,出版年:2009,中图分类号:TP3

Computational Optimal Control: Tools and Practice provides a detailed guide to informed use of computational optimal control in advanced engineering practice, addressing the need for a better understanding of the practical application of optimal control using computational techniques. Throughout the text the authors employ an advanced aeronautical case study to provide a practical, real-life setting for optimal control theory. This case study focuses on an advanced, real-world problem known as the “terminal bunt manoeuvre” or special trajectory shaping of a cruise missile. Representing the many problems involved in flight dynamics, practical control and flight path constraints, this case study offers an excellent illustration of advanced engineering practice using optimal solutions. The book describes in practical detail the real and tested optimal control software, examining the advantages and limitations of the technology. Featuring tutorial insights into computational optimal formulations and an advanced case-study approach to the topic, Computational Optimal Control: Tools and Practice provides an essential handbook for practising engineers and academics interested in practical optimal solutions in engineering. Focuses on an advanced, real-world aeronautical case study examining optimisation of the bunt manoeuvre Covers DIRCOL, NUDOCCCS, PROMIS and SOCS (under the GESOP environment), and BNDSCO Explains how to configure and optimize software to solve complex real-world computational optimal control problems Presents a tutorial three-stage hybrid approach to solving optimal control problem formulations 

合作自主无人机的路径规划策略
ISBN:9780470741290,出版年:2010,中图分类号:V1 被引 300次

About the Authors. Series Preface. Preface. Acknowledgements. List of Figures. List of Tables. Nomenclature. 1. Introduction. 1.1 Path Planning Formulation. 1.2 Path Planning Constraints. 1.3 Cooperative Path Planning and Mission Planning. 1.4 Path Planning - An Overview. 1.5 The Road Map Method. 1.6 Probabilistic Methods. 1.7 Potential Field. 1.8 Cell Decomposition. 1.9 Optimal Control. 1.10 Optimization Techniques. 1.11 Trajectories for Path Planning. 1.12 Outline of the Book. References. 2. Path Planning in Two Dimensions. 2.1 Dubins Paths. 2.2 Designing Dubins Path using Analytical Geometry. 2.3 Existence of Dubins Paths. 2.4 Length of Dubins Paths. 2.5 Design of Dubins Paths using Principles of Differential Geometry. 2.6 Path of Continuous Curvature. 2.7 Producing Flyable Clothoid Paths. 28 Producing Flyable Pythagorean Hodograph Paths (2D). References. 3. Path Planning in Three Dimensions. 3.1 Dubins Paths in Three Dimensions Using Differential Geometry. 3.2 Path Length - Dubins 3D. 3.3 Pythagorean Hodograph Paths - 3D. 3.4 Design of Flyable Paths Using PH Curves. References. 4. Collision Avoidance. 4.1 Research into Obstacle Avoidance. 4.2 Obstacle Avoidance for Mapped Obstacles. 4.3 Obstacle Avoidance of Unmapped Static Obstacles. 4.4 Algorithmic Implementation. References. 5. Path-Following Guidance. 5.1 Path Following the Dubins Path. 5.2 Linear Guidance Algorithm. 5.3 Nonlinear Dynamic Inversion Guidance. 5.4 Dynamic Obstacle Avoidance Guidance. References. 6. Path Planning for Multiple UAVs. 6.1 Problem Formulation. 6.2 Simultaneous Arrival. 6.3 Phase I: Producing Flyable Paths. 6.4 Phase II: Producing Feasible Paths. 6.5 Phase III: Equalizing Path Length. 6.6 Multiple Path Algorithm. 6.7 Algorithm Application for Multiple UAVs. 6.8 2D Pythagorean Hodograph Paths. 6.9 3D Dubins Paths. 6.10 3D Pythagorean Hodograph Paths. References. Appendix A Differential Geometry. Appendix B. Pythagorean Hodograph. Index.

最优控制,预期与不确定
ISBN:9780521126335,出版年:1989,中图分类号:F0

The rational expectations revolution and other developments in economics (notably game theory) have fundamentally altered the application of optimal control theory to economic forecasting and planning. In particular, they have shown that economic systems cannot be modelled simplistically on physical systems. However, as the authors of this volume show, these developments have greatly enhanced our understanding of how an economy functions, and now make it possible for optimal control theory to be applied much more effectively to economic modelling and planning. This book is divided into two parts. The first presents the orthodox framework but extends it to allow for multiplicative uncertainty, risk and non-linearities in the econometric model. The second part looks explicitly at the question of expectations. It provides methods by which forward-looking expectations can be treated jointly with the determination of economic policy. It also examines game-theoretic considerations - where, for instance, policy makers may have incentive to renege on their commitments.

控制与最优控制理论及其应用
ISBN:9781904275015,出版年:2004,中图分类号:TP 被引 12次

Systems dynamics and differential equations Transfer functions and block diagrams State-space formulation Transient and steady state response analysis Stability Controllability and observability Multivariable feedback and pole location Introduction to optimal control Variational calculus Optimal control with unbounded continuous controls Bang-bang control Applications of optimal control Dynamic programming Appendices: Partial fractions Notes on determinants and matrices Solutions to problems.

养老基金的随机方法
ISBN:9781848212046,出版年:2013,中图分类号:F8 被引 10次

Quantitative finance has become these last years a extraordinary field of research and interest as well from an academic point of view as for practical applications. At the same time, pension issue is clearly a major economical and financial topic for the next decades in the context of the well-known longevity risk. Surprisingly few books are devoted to application of modern stochastic calculus to pension analysis. The aim of this book is to fill this gap and to show how recent methods of stochastic finance can be useful for to the risk management of pension funds. Methods of optimal control will be especially developed and applied to fundamental problems such as the optimal asset allocation of the fund or the cost spreading of a pension scheme. In these various problems, financial as well as demographic risks will be addressed and modelled.

无线维最优和控制理论
ISBN:9780521154543,出版年:1999,中图分类号:O1

This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from Kuhn–Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. Existence of optimal controls is established for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

数学模型实用方法
ISBN:9780470171073,出版年:2011,中图分类号:O15 被引 100次

The Deterministic View Growth and Decay: Dynamical Systems Equilibrium Optimal Control and Utility Validating a Model Validation: Accept, Improve or Reject The Probabilistic View Birth and Death: Probabilistic Dynamics Stationary Distributions Optimal Decision and Reward The Art of Application Using A Model: Choice and Estimation Building a Model: Adapting, Extending and Combining Toward More Advanced Models Further Dynamical Systems Further Flow and Diffusion Further Optimization.

曝气控制系统设计:能耗和工艺优化实用指南
ISBN:9781118389980,出版年:2013,中图分类号:X1

Learn how to design and implement successful aeration control systems Combining principles and practices from mechanical, electrical, and environmental engineering, this book enables you to analyze, design, implement, and test automatic wastewater aeration control systems and processes. It brings together all the process requirements, mechanical equipment operations, instrumentation and controls, carefully explaining how all of these elements are integrated into successful aeration control systems. Moreover, Aeration Control System Design features a host of practical, state-of-the-technology tools for determining energy and process improvements, payback calculations, system commissioning, and more. Author Thomas E. Jenkins has three decades of hands-on experience in every phase of aeration control systems design and implementation. He presents not only the most current theory and technology, but also practical tips and techniques that can only be gained by many years of experience. Inside the book, readers will find: Full integration of process, mechanical, and electrical engineering considerations Alternate control strategies and algorithms that provide better performance than conventional proportional-integral-derivative control Practical considerations and analytical techniques for system evaluation and design New feedforward control technologies and advanced process monitoring systems Throughout the book, example problems based on field experience illustrate how the principles and techniques discussed in the book are used to create successful aeration control systems. Moreover, there are plenty of equations, charts, figures, and diagrams to support readers at every stage of the design and implementation process. In summary, Aeration Control System Design makes it possible for engineering students and professionals to design systems that meet all mechanical, electrical, and process requirements in order to ensure effective and efficient operations.

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