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)    

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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