Nonlinear Stochastic Optimal Control with Input Saturation Constraints Based on Path Integrals

2020 ◽  
Vol 15 (8) ◽  
pp. 1169-1175
Author(s):  
Satoshi Satoh ◽  
Hilbert J. Kappen
Keyword(s):  
Optimal Control ◽  
Stochastic Optimal Control ◽  
Path Integrals ◽  
Input Saturation ◽  
Saturation Constraints ◽  
Input Saturation Constraints

Robust Adaptive Synchronization of Chaotic Systems With Nonsymmetric Input Saturation Constraints

2017 ◽  
Vol 13 (1) ◽  
Author(s):  
Samaneh Mohammadpour ◽  
Tahereh Binazadeh
Keyword(s):  
Chaotic Systems ◽  
Sliding Mode ◽  
Input Saturation ◽  
Adaptive Synchronization ◽  
Adaptive Sliding Mode Controller ◽  
Robust Synchronization ◽  
Effective Performance ◽  
Saturation Constraints ◽  
Robust Adaptive ◽  
Input Saturation Constraints

This paper considers the robust synchronization of chaotic systems in the presence of nonsymmetric input saturation constraints. The synchronization happens between two nonlinear master and slave systems in the face of model uncertainties and external disturbances. A new adaptive sliding mode controller is designed in a way that the robust synchronization occurs. In this regard, a theorem is proposed, and according to the Lyapunov approach the adaptation laws are derived, and it is proved that the synchronization error converges to zero despite of the uncertain terms in master and slave systems and nonsymmetric input saturation constraints. Finally, the proposed method is applied on chaotic gyro systems to show its applicability. Computer simulations verify the theoretical results and also show the effective performance of the proposed controller.

Trajectory tracking control of electric sail with input uncertainty and saturation constraint

2016 ◽  
Vol 39 (7) ◽  
pp. 1007-1016 ◽  
Author(s):  
Yu Wang ◽  
Bingxiu Bian
Keyword(s):  
Solar Wind ◽  
Trajectory Tracking ◽  
Closed Loop ◽  
Sliding Mode ◽  
Input Saturation ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Saturation Constraints ◽  
Non Linear System ◽  
Input Saturation Constraints

The electric sail (ES) is a novel propellantless propulsion concept, which extracts the solar wind momentum by repelling the positively charged ions. Due to the difficulty of attitude adjustment by the large flexible structure and the uncertainty of ion density, velocity and electron temperature by solar wind, there exist thrust input uncertainty and saturation with time-varying bounds for ES. The trajectory tracking problem for ES in three-dimensional (3-D) space is studied, and the composite sliding mode control scheme with corresponding guidance strategy is proposed for the single-input–multiple-output (SIMO) non-linear system. The hierarchical sliding surfaces are constructed with an auxiliary design system to analyse the effect of input saturation constraints and decouple the SIMO non-linear system to reduce the control complexity. Also, the disturbance estimation based on a super-twisting algorithm is employed to decrease the switch chattering and improve the system robustness. It is proved that all the sliding mode surfaces are asymptotically stable, and all the signals of the closed-loop system are bounded with input saturation constraints. Furthermore, all the signals are converging to zero and the closed-loop system is asymptotically stable without saturation. Finally, the simulation demonstrates the proposed composite sliding mode control is fit for ES 3-D trajectory tracking.

scholarly journals Neural Network-Based Solutions for Stochastic Optimal Control Using Path Integrals

2017 ◽  
Vol 28 (3) ◽  
pp. 534-545 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Sivasubramanya Nadar Balakrishnan ◽  
Jerome R. Busemeyer
Keyword(s):  
Neural Network ◽  
Optimal Control ◽  
Stochastic Optimal Control ◽  
Path Integrals

An Iterative Method for Nonlinear Stochastic Optimal Control Based on Path Integrals

2017 ◽  
Vol 62 (1) ◽  
pp. 262-276 ◽  
Author(s):  
Satoshi Satoh ◽  
Hilbert J. Kappen ◽  
Masami Saeki
Keyword(s):  
Optimal Control ◽  
Iterative Method ◽  
Stochastic Optimal Control ◽  
Path Integrals
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