Minimum-time optimal feedforward control of conductive heating systems for microelectronics processing of silicon wafers and quartz photomasks

2000 ◽  
Author(s):  
Weng Khuen Ho ◽  
Arthur E. Tay
Keyword(s):  
Feedforward Control ◽  
Silicon Wafers ◽  
Minimum Time ◽  
Heating Systems ◽  
Conductive Heating ◽  
Time Optimal

Minimum-time optimal control of robotic manipulators based on Hamel’s integrators

Meccanica ◽  
2019 ◽  
Vol 54 (15) ◽  
pp. 2521-2537
Author(s):  
Zhipeng An ◽  
Huibin Wu ◽  
Donghua Shi
Keyword(s):  
Optimal Control ◽  
Robotic Manipulators ◽  
Minimum Time ◽  
Time Optimal Control ◽  
Time Optimal

scholarly journals The Geometry of Speed Limiting Resources in Physical Models of Computation

2017 ◽  
Vol 28 (04) ◽  
pp. 321-333 ◽  
Author(s):  
Benjamin Russell ◽  
Susan Stepney
Keyword(s):  
Limited Resource ◽  
Minimum Time ◽  
Physical Models ◽  
Maximum Speed ◽  
Speed Limit ◽  
Physical Computation ◽  
Speed Limits ◽  
Models Of Computation ◽  
Special Cases ◽  
Time Optimal

We study the maximum speed of quantum computation and how it is affected by limitations on physical resources. We show how the resulting concepts generalize to a broader class of physical models of computation within dynamical systems and introduce a specific algebraic structure representing these speed limits. We derive a family of quantum speed limit results in resource-constrained quantum systems with pure states and a finite dimensional state space, by using a geometric method based on right invariant action functionals on [Formula: see text]. We show that when the action functional is bi-invariant, the minimum time for implementing any quantum gate using a potentially time-dependent Hamiltonian is equal to the minimum time when using a constant Hamiltonian, thus constant Hamiltonians are time optimal for these constraints. We give an explicit formula for the time in these cases, in terms of the resource constraint. We show how our method produces a rich family of speed limit results, of which the generalized Margolus–Levitin theorem and the Mandelstam–Tamm inequality are special cases. We discuss the broader context of geometric approaches to speed limits in physical computation, including the way geometric approaches to quantum speed limits are a model for physical speed limits to computation arising from a limited resource.

Sign in / Sign up

Export Citation Format

Share Document