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New adaptive and event-triggered control designs with concrete applications in undersea construction, offshore drilling, and cable elevatorsControl applications in undersea construction, cable elevators, and offshore drilling present major methodological challenges because they involve PDE systems (cables and drillstrings) of time-varying length, coupled with ODE systems (the attached loads or tools) that usually have unknown parameters and unmeasured states. In PDE Control of String-Actuated Motion, Ji Wang and Miroslav Krstic develop control algorithms for these complex PDE-ODE systems evolving on time-varying domains.Motivated by physical systems, the book’s algorithms are designed to operate, with rigorous mathematical guarantees, in the presence of real-world challenges, such as unknown parameters, unmeasured distributed states, environmental disturbances, delays, and event-triggered implementations. The book leverages the power of the PDE backstepping approach and expands its scope in many directions.Filled with theoretical innovations and comprehensive in its coverage, PDE Control of String-Actuated Motion provides new design tools and mathematical techniques with far-reaching potential in adaptive control, delay systems, and event-triggered control.

Boundary value problems. --- Cables --- Control theory. --- Differential equations, Partial. --- Equations of motion. --- Loads (Mechanics) --- Loads (Mechanics). --- SCIENCE / Mechanics / Dynamics. --- Vibration. --- Strains and stresses --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Motion equations --- Mechanics --- Lagrange equations --- Partial differential equations --- Dynamics --- Machine theory --- Accelerometer. --- Actuator. --- Adaptive control. --- Aircraft. --- Algorithm. --- Altitude. --- Ammeter. --- Amplitude. --- Angle of attack. --- Attitude control. --- Belt (mechanical). --- Bending. --- Buoyancy. --- Cape Crozier. --- Center of mass (relativistic). --- Center of pressure (fluid mechanics). --- Centrality. --- Centrifugal force. --- Chemical bond. --- Coanda effect. --- Combination. --- Compressibility. --- Contact force. --- Contour line. --- Control limits. --- Control reversal. --- Control variable. --- Convection. --- Coordinate system. --- Coupling. --- Drill bit. --- Dynamic pressure. --- Eigenfunction. --- Elastic instability. --- Elevon. --- Empennage. --- Equation. --- Flapper valve. --- Flight control surfaces. --- Force. --- Frequency domain. --- Frequency response. --- Fuselage. --- Gangway (nautical). --- Hamilton's principle. --- Imagery. --- Increment and decrement operators. --- Inference. --- Initial condition. --- Inspection. --- Laminar flow. --- Limit load (physics). --- Limit set. --- Linearization. --- Longitudinal mode. --- Loop around. --- Mach number. --- Main effect. --- Motion control. --- Motion planning. --- Newton's laws of motion. --- Open loop. --- Order of magnitude. --- Partial differential equation. --- Pitch angle (particle motion). --- Powered lift. --- Pressure. --- Propulsion. --- Publishing. --- Requirement. --- Rotation around a fixed axis. --- Shackle. --- Shear flow. --- Simultaneity. --- Skin friction drag. --- Solver. --- Specific impulse. --- Spiral model. --- Spline interpolation. --- State-space representation. --- Subroutine. --- Thrust vectoring. --- Torsion (mechanics). --- Torsional vibration. --- Trajectory. --- Transfer function. --- Transformation matrix. --- Transonic. --- Unit vector. --- Upper and lower bounds. --- Vector field. --- Vector projection. --- Vertical stabilizer. --- Vestibular system. --- Vibration control. --- Wind tunnel. --- Wire rope. --- SCIENCE / Mechanics / Dynamics --- MATHEMATICS / Applied