Title
Event-triggered optimal control of nonlinear continuous-time systems in affine form by using neural networks
Abstract
The proposed event-triggered control design uses the adaptive dynamic programming (ADP) technique to solve the infinite-horizon optimal control of nonlinear continuous time system in affine form with complete unknown system dynamics in a forward time and online manner. The approximation property of the neural network (NN) is used to estimate the system dynamics and the value function with event-based sampling of state vector. Subsequently the estimated values are used to design the near optimal control policy. In addition, the NN weights are updated as a jump at every trigger instant, hence aperiodic in nature, to save computation when compared to the traditional NN-based approaches. Further, the closed-loop dynamics are formulated as a nonlinear impulsive dynamical system and the extension of the Lyapunov technique is utilized to prove the locally ultimate boundedness of all the closed-loop signals by deriving an adaptive event-trigger condition. Nonetheless, a positive lower bound on the inter-event time is guaranteed to avoid accumulation point. Finally, the analytical design is evaluated by using an example.
Year
DOI
Venue
2014
10.1109/CDC.2014.7039549
Decision and Control
Keywords
Field
DocType
Lyapunov methods,adaptive control,closed loop systems,continuous time systems,control system synthesis,dynamic programming,infinite horizon,neurocontrollers,nonlinear control systems,nonlinear dynamical systems,optimal control,ADP technique,Lyapunov technique,NN weights,adaptive dynamic programming,adaptive event-trigger condition,affine form,approximation property,closed-loop dynamics,closed-loop signals,event-based sampling,event-triggered control design,event-triggered optimal control,infinite-horizon optimal control,inter-event time,neural network,nonlinear continuous time system,nonlinear impulsive dynamical system,optimal control policy,state vector,ultimate boundedness,unknown system dynamics,value function
Affine transformation,Lyapunov function,Mathematical optimization,State vector,Nonlinear system,Optimal control,Computer science,Control theory,System dynamics,Variable structure control,Sliding mode control
Conference
ISSN
Citations 
PageRank 
0743-1546
3
0.37
References 
Authors
4
4
Name
Order
Citations
PageRank
Avimanyu Sahoo115510.66
Hao Xu221414.63
Sarangapani Jagannathan3113694.89
Travis Dierks439723.62