Structural tailoring and feedback control synthesis - An interdisciplinary approach

Nested and Simultaneous Solution Strategies for General Combined Plant and Controller Design Problems

“…Even if there are no OLC variables, the general co-design problem is still an infinite-dimensional problem due to the dynamic and path constraints. One very special case is when the optimal OLC can be defined with static gains such as with infinitehorizon linear-quadratic regulator (LQR) [25][26][27]…”

“…This problem form is known as the infinite-horizon, continuoustime LQR [25][26][27], and is quite heavily utilized in co-design studies [2,12,13,26,27]. Solutions of this form can be computed efficiently and have a number of favorable properties such as a closed-form solution that can be used to create an equivalent simultaneous formulation [6].…”

“…Reyer et al stated that the size and complexity of the simultaneous problem formulation could make this strategy impractical [10]. A number of authors have agreed with this statement, i.e., the nested strategy was better suited for their particular problem [4,18,26,39]. In the case of Refs.…”

Integrated control/structure optimization by multilevel decomposition

“…Examples of approaches to simultaneous structure and control design based on optimization methods have been given by Belvin and Park (1988), Bodden and Junkins (1985), Gilbert and Schmidt (1991), Grandhi (1989), Haftka e~ al. (1985), Hale and Lisowski (1983), , Lisowski and Hale (1984), Lust and Schmit (1991), Miller and Shim (1987), Onoda and Haftka (1987), Onoda and Watanabe (1989), Salama et al (1984Salama et al ( , 1988, Thomas and Schmit (1989), and Zeiler and Weisshaar (1988).…”

Co-Design of Strain-Actuated Solar Arrays for Spacecraft Precision Pointing and Jitter Reduction

“…Structural tailoring coupled with control design has long been recognized as an important, yet formidable problem. 33 Although there are examples of tailoring passive system dynamics to work optimally with active control using lumped plant stiffness, damping, and mass parameters as design variables, 9 these methods cannot be extended to distributed parameter systems.…”