1st Edition

Optimal Control Weakly Coupled Systems and Applications

    ISBN 9780849374296
    320 Pages 19 B/W Illustrations
    Published December 10, 2008 by CRC Press

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    USD $210.00
    ISBN 9781315221786
    320 Pages 19 B/W Illustrations
    Published October 3, 2018 by CRC Press

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    Unique in scope, Optimal Control: Weakly Coupled Systems and Applications provides complete coverage of modern linear, bilinear, and nonlinear optimal control algorithms for both continuous-time and discrete-time weakly coupled systems, using deterministic as well as stochastic formulations. This book presents numerous applications to real world systems from various industries, including aerospace, and discusses the design of subsystem-level optimal filters. Organized into independent chapters for easy access to the material, this text also contains several case studies, examples, exercises, computer assignments, and formulations of research problems to help instructors and students.

    Preface
    Introduction
    References

    Recursive Approach for Linear Weakly Coupled Control Systems
    Linear Weakly Coupled Control Systems.
    Introduction
    Weakly Coupled Linear Continuous Systems
    Approximate Linear Regulator for Continuous Systems
    Weakly Coupled Linear Discrete Systems
    Approximate Linear Regulator for Discrete Systems
    Output Feedback Control for Linear Weakly Coupled Systems
    Notes and Comments
    References
    Quasi-Weakly Coupled Linear Control Systems
    Optimal Controller for Quasi-Weakly Coupled Linear Systems
    Reduced-Order Controller for a Class of Weakly Coupled Systems
    Notes
    Appendix 3.1
    References
    Weakly Coupled Singularly Perturbed Systems
    Introduction
    Weakly Coupled Singularly Perturbed Linear Control Systems
    Quasi-Weakly Coupled Singularly Perturbed Control Systems
    Conclusion
    References
    Decoupling Transformation, Lyapunov Equation, and Boundary Value Problem
    Decoupling Transformation of Gaji_c and Shen
    Decoupling Transformation for N Weakly Coupled Subsystems
    Decompositions of the Differential Lyapunov Equation
    Boundary Value Problem of Linear Continuous Systems
    Boundary Value Problem of Linear Discrete Systems
    References
    Stochastic Linear Weakly Coupled Systems
    Continuous Weakly Coupled Stochastic Linear Control Systems
    Discrete Weakly Coupled Stochastic Linear Control Systems
    Stochastic Output Feedback of Discrete Systems
    Optimal Control of Stochastic Jump Parameter Linear Systems
    Comments
    References
    Nash Differential Games
    Weakly Coupled Linear-Quadratic Nash Games
    Solution of Coupled Algebraic Riccati Equations
    Numerical Example
    Appendix 7.1
    Appendix 7.2: Algorithm for Solving Coupled Algebraic Riccati Equations of Nash Differential Games
    References

    Hamiltonian Approach for Linear Weakly Coupled Control Systems
    Finite Time Optimal Control via Hamiltonian Method
    Open-Loop Optimal Control in Continuous-Time
    Open-Loop Optimal Control in Discrete-Time
    Differential Riccati Equation
    Difference Riccati Equation
    Concluding Remarks
    Appendix 8.1
    Appendix 8.2
    References
    Hamiltonian Method for Steady State Optimal Control and Filtering
    Exact Decomposition of the Weakly Coupled Continuous-Time Algebraic Riccati Equation
    Optimal Filtering in Continuous-Time
    Optimal Control and Filtering in Discrete-Time
    Optimal Control of Weakly Coupled Systems with N Subsystems
    Conclusion
    Appendix 9.1
    References
    Eigenvector Method for the Hamiltonian Approach
    Introduction
    Decomposition of Weakly Coupled Algebraic Riccati Equation
    Eigenvector Method for Nonsymmetric (Nonsquare) Algebraic Riccati Equation
    Exact Decomposition Algorithm for Weakly Coupled Systems
    Examples
    Conclusion
    Appendix 10.1 Justification of Step 3 of Algorithm 10.2
    Appendix 10.2 On the Number of Solutions to Nonsymmetric ARE
    References

    Bilinear Weakly Coupled Control Systems
    Optimal Control of Bilinear Weakly Coupled Systems
    Introduction
    Optimal Control for Weakly Coupled Bilinear Systems Using SGA
    Robust H1 Control for Weakly Coupled Bilinear Systems with Parameter Uncertainties Using SGA
    Conclusion
    References
    Index

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