Computationally efficient simultaneous policy update algorithm for nonlinearH∞state feedback control with Galerkin's method
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Publication:2847258
DOI10.1002/rnc.2814zbMath1270.93044OpenAlexW1567906773WikidataQ115150381 ScholiaQ115150381MaRDI QIDQ2847258
Publication date: 4 September 2013
Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/rnc.2814
convergenceGalerkin's methodHamilton-Jacobi-Isaacs equation\(H_{\infty}\) state feedback controlsimultaneous policy update algorithm (SPUA)
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) (H^infty)-control (93B36) Fixed-point theorems (47H10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems
- An iterative adaptive dynamic programming method for solving a class of nonlinear zero-sum differential games
- Multi-player non-zero-sum games: online adaptive learning solution of coupled Hamilton-Jacobi equations
- Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem
- A game theoretic algorithm to compute local stabilizing solutions to HJBI equations in nonlinear \(H_\infty \) control
- The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
- Approximate solutions to the time-invariant Hamilton-Jacobi-Bellman equation
- Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
- L\(_2\)-gain and passivity techniques in nonlinear control
- Adaptive dynamic programming for online solution of a zero-sum differential game
- A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
- On the optimal stabilization of nonlinear systems
- L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
- Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems
- An Approximation Theory of Optimal Control for Trainable Manipulators
- H/sub /spl infin control via measurement feedback for general nonlinear systems
- Successive Galerkin approximation algorithms for nonlinear optimal and robust control
- Computing the Positive Stabilizing Solution to Algebraic Riccati Equations With an Indefinite Quadratic Term via a Recursive Method
- Global>tex<$H_infty $>/tex<Controllers for a Class of Nonlinear Systems
- Policy Iterations on the Hamilton–Jacobi–Isaacs Equation for $H_{\infty}$ State Feedback Control With Input Saturation
- A Quasi-Newton Interior Point Method for Low Order H-Infinity Controller Synthesis
- The Kantorovich Theorem for Newton's Method
- A Note on the Convergence of Newton’s Method