Control

Randomized Linear Programming Solves the Discounted Markov Decision Problem In Nearly-Linear (Sometimes Sublinear) Run Time

Randomized Linear Programming Solves the Discounted Markov Decision Problem In Nearly-Linear (Sometimes Sublinear) Run Time Randomized Linear Programming Solves the Discounted Markov Decision Problem In Nearly-Linear (Sometimes Sublinear) Run Time The nonlinear Bellman equation =  linear programming problem: Primal-Dual LP Primal LP (1) Dual LP (2)   Minmax Problem (3)   Download: pdf

Decentralized Optimal Control of Distributed Interdependent Automata With Priority Structure

Decentralized Optimal Control of Distributed Interdependent Automata With Priority Structure Data Flowchart Notation : subsystem model, the plant P i , deterministic finite-state automaton. (1)      (2) (3)   (4) : P i  can be transitioned from state  into state  if the input l is applied.   (5)   It encodes with  that the transition  is possible with at least… read more »

Neural-network-based decentralized control of continuous-time nonlinear interconnected systems with unknown dynamics

  Neural-network-based decentralized control of continuous-time nonlinear interconnected systems with unknown dynamics – Math and Optimal Control Problem formulation Consider a continuous-time nonlinear large-scale system ∑ composed of N interconnected subsystems described by (1) where xi(t) ∈ Rni : state. The overall state of the large-scale system ∑ is denoted by  ui [ xi(t) ] ∈ Rmi : control input vector of the ith… read more »

Reinforcement Learning is Direct Adaptive Optimal Control

Reinforcement Learning is Direct Adaptive Optimal Control Stanford_cs229-notes12_Andrew_Ng Reinforcement Learning and Control How should Reinforcement learning be viewed from a control systems perspective? Control problems can be divided into two classes: regulation and tracking problems, in which the objective is to follow a reference trajectory. optimal control problems, which the objective is to extremize a… read more »

Decentralized Stabilization for a Class of Continuous-Time Nonlinear Interconnected Systems Using Online Learning Optimal Control Approach

Decentralized Stabilization for a Class of Continuous-Time Nonlinear Interconnected Systems Using Online Learning Optimal Control Approach Neural-network-based Online Learning Optimal Control Decentralized Control Strategy Cost functions (critic neural networks) – local optimal controllers Feedback gains to the optimal control policies – decentralized control strategy Optimal Control Problem (Stabilization) Hamilton-Jacobi-Bellman (HJB) Equations Apply Online Policy Iteration… read more »

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