Optimal Control of Payload's Skew Rotation in Crane Systems with State and Control Input Constraints

Author(s):  
Ho Duc Tho ◽  
Ryosuke Tasaki ◽  
Takanori Miyoshi ◽  
Kazuhiko Terashima
2020 ◽  
pp. 107754632092915
Author(s):  
Difan Tang ◽  
Lei Chen ◽  
Zhao F Tian ◽  
Eric Hu

This study deals with improving airfoil active flutter suppression under control-input constraints from the optimal control perspective by proposing a novel optimal neural-network control. The proposed approach uses a modified value function approximation dynamically tuned by an extended Kalman filter to solve the Hamilton–Jacobi–Bellman equality online for continuously improved optimal control to address optimality in parameter-varying nonlinear systems. Control-input constraints are integrated into the controller synthesis by introducing a generalized nonquadratic cost function for control inputs. The feasibility of using a performance index involving the nonquadratic control-input cost with the modified value function approximation is examined through the Lyapunov stability analysis. Wind tunnel experiments were conducted for controller validation, where an optimal controller synthesized offline via linear parameter-varying technique was used as a benchmark and compared. It is shown, both theoretically and experimentally, that the proposed method can effectively improve airfoil active flutter suppression under control-input constraints.


2013 ◽  
Vol 340 ◽  
pp. 273-276
Author(s):  
Jie Bai ◽  
Li Zu ◽  
Wei Liu

A meta-heuristic algorithm optimization, Ant Colony Optimization, is used to solve a general optimal control problem. Ant Colony Optimization is introduced briefly in this paper. The disc resection of the control time and control input is investigated. A piece wise interval is considered in the converting. And the simulation in numerical results show this strategy is feasible and effective.


2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Pablo S. Rivadeneira ◽  
Eduardo J. Adam

Novel techniques for the optimization and control of finite-time processes in real-time are pursued. These are developed in the framework of the Hamiltonian optimal control. Two methods are designed. The first one constructs the reference control trajectory as an approximation of the optimal control via the Riccati equations in an adaptive fashion based on the solutions of a set of partial differential equations called the α and β matrices. These allow calculating the Riccati gain for a range of the duration of the process T and the final penalization S. The second method introduces input constraints to the general optimization formulation. The notions of linear matrix inequalities allow us to recuperate the Riccati gain as in the first method, but using an infinite horizon optimization method. Finally, the performance of the proposed strategies is illustrated through numerical simulations applied to a batch reactor and a penicillin fed-batch reactor.


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