Extended discrete-time transfer matrix approach to modeling and decentralized control of lattice-based structures

Abstract

SUMMARYThis paper presents the modeling and control of an aircraft wing structure constructed by lattice-based cellular materials/components. A novel model reduction process is proposed that utilizes the extended discrete-time transfer matrix method (E-DT-TMM). Through recursive application of the E-DT-TMM, an effective reduced-order model can be obtained in which a decentralized discrete-time linear quadratic regulator (LQR) controller can be designed. To demonstrate the efficiency of the proposed concept, a prototype wing structure is studied. The analysis and simulation results show that the performance of the proposed E-DT-TMM based decentralized LQR controller is comparable with that of the full-state continuous LQR controller.

Multibody system transfer matrix method: The past, the present, and the future

“…The dynamics design and test levels, as well as dynamics performance of over 150 products, are improved substantially. MSTMM has been applied to various equipment systems, including spin tube gun, 83 self‐propelled artillery, 48 tank, 48 naval gun, 84 metal storm, 49 cannon on helicopter, 85 antiaircraft gun, 86 vehicular multiple launch rocket system, 47 tracked multiple launch rocket system, 87 airborne multiple launch rocket system, 88 shipborne multiple launch rocket system, 48 projectile, 89 feeding platform, 90 and parachute‐submissile 91 ; aeronautics and astronautics: wing, 92 helicopter, 93 aerospace aircraft, 94 launch vehicle, 95 vehicular missile system, 96 missile, 41 and inertial measurement unit system 52 ; ships: underwater towed system, 97 submarine, 98 and ship's antivibration system 99 ; vehicle: vehicle suspension, 100 truck car 101 ; machine tools: heavy duty machine tool, 102 fly‐cutting machine tool, 50 five‐axis CNC machine tool, 103 machine tool spindle, 104 and servo turret 105 ; various civil machineries: road roller, 106 screen vibration, 107 vibration compaction, 108 large‐scale rotary machine, 109 truck crane, 110 overhead crane, 63 mobile concrete truck, 111 buildings, and bridges: floating bridge, 112 super long stay cable, 113 composite Riser system, 114 reinforced thermoplastic pipe, 53 immersed tunnel, 115 earthquake‐resistant civil structures, 116 and high‐pressure gas well 117 ; various turbines: wind turbine, 118 wind turbine tower, 119 low‐pressure rotor of gas turbine, 120 diesel engine,…”

Development of Mission Adaptive Digital Composite Aerostructure Technologies (MADCAT)

“…By utilizing the extended discrete-time transfer matrix method (E-DT-TMM) [9], a reduced order model for mass n can be described by the following discrete time state-space representation,…”

“…where k ≥ 0 is the time step, X n denotes the states of mass n, A nn , B n are constant matrices, γ (k) denotes the exogenous input, and f n (k) is the control input applied at mass n. A globally stabilizing controller can be derived from a collection of decentralized controllers designed for each actuated mass. Detail derivations can be found in Section 4 of [9].…”