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Dynamics and Control of Trajectory Tubes
ISBN-13:
9783319102771
Veröffentl:
2014
Seiten:
445
Autor:
Alexander B. Kurzhanski
Serie:
85, Systems & Control: Foundations & Applications
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
This monograph presents theoretical methods involving the Hamilton-Jacobi-Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems.
¿Preface.- 1. Linear Control Systems.- 2. The Dynamic Programming Approach.- 3. Ellipsoidal Techniques: Reachability and Control Synthesis.- 4. Solution Examples on Ellipsoidal Methods: Computation in High Dimensions.- 5. The Comparison Principle: Nonlinearity and Nonconvexity.- 6. Impulse Control and Double Constraints.- 7. Dynamics and Control under State Constraints.- 8. Trajectory Tubes: State-Constrained Feedback Control.- 9. Guaranteed State Estimation.- 10. Uncertain Systems: Output Feedback Control.- 11. Verification: Hybrid Systems.
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