scholarly journals Robust control of discrete-time hybrid systems with uncertain modal dynamics

2004 ◽  
Vol 2004 (3) ◽  
pp. 197-208 ◽  
Author(s):  
Thordur Runolfsson
Keyword(s):  
Markov Chain ◽  
Disturbance Rejection ◽  
Structural Changes ◽  
External Disturbance ◽  
Operational Mode ◽  
Cost Functional ◽  
Risk Sensitive ◽  
Finite State ◽  
Risk Sensitive Control ◽  
Modal Dynamics

We study systems that are subject to sudden structural changes due to either changes in the operational mode of the system or failure. We consider linear dynamicalsystems that depend on a modal variable which is either modeled as a finite-state Markov chain or generated by an automaton that is subject to an external disturbance. In the Markov chain case, the objective of the control is to minimize a risk-sensitive cost functional. The risk-sensitive cost functional measures the risk sensitivity of the system to transitions caused by the random modal variable. In the case when a disturbed automaton describes the modal variable, the objective of the control is to make the system as robust to changes in the external disturbance as possible. Optimality conditions for both problems are derived and it is shown that the disturbance rejection problem is closely related to a certain risk-sensitive control problem for the hybrid system.

scholarly journals Position-based motion control for parallel manipulators under parametric uncertainties and with finite-time external disturbance rejection

2020 ◽  
Vol 53 (2) ◽  
pp. 8456-8461
Author(s):  
Dmitrii Dobriborsci ◽  
Sergey Kolyubin ◽  
Natalia Gorokhova ◽  
Marina Korotina ◽  
Alexey Bobtsov
Keyword(s):  
Motion Control ◽  
Finite Time ◽  
Disturbance Rejection ◽  
External Disturbance ◽  
Parallel Manipulators ◽  
Parametric Uncertainties

scholarly journals Optimal Fractional-Order Active Disturbance Rejection Controller Design for PMSM Speed Servo System

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 262
Author(s):  
Pengchong Chen ◽  
Ying Luo ◽  
Yibing Peng ◽  
Yangquan Chen
Keyword(s):  
Fractional Order ◽  
Disturbance Rejection ◽  
Pid Controller ◽  
External Disturbance ◽  
Servo System ◽  
Stable Region ◽  
Speed Tracking ◽  
Active Disturbance Rejection ◽  
Load Disturbance ◽  
Tuning Strategy

In this paper, a fractional-order active disturbance rejection controller (FOADRC), combining a fractional-order proportional derivative (FOPD) controller and an extended state observer (ESO), is proposed for a permanent magnet synchronous motor (PMSM) speed servo system. The global stable region in the parameter (Kp, Kd, μ)-space corresponding to the observer bandwidth ωo can be obtained by D-decomposition method. To achieve a satisfied tracking and anti-load disturbance performance, an optimal ADRC tuning strategy is proposed. This tuning strategy is applicable to both FOADRC and integer-order active disturbance rejection controller (IOADRC). The tuning method not only meets user-specified frequency-domain indicators but also achieves a time-domain performance index. Simulation and experimental results demonstrate that the proposed FOADRC achieves better speed tracking, and more robustness to external disturbance performances than traditional IOADRC and typical Proportional-Integral-Derivative (PID) controller. For example, the JITAE for speed tracking of the designed FOADRC are less than 52.59% and 55.36% of the JITAE of IOADRC and PID controller, respectively. Besides, the JITAE for anti-load disturbance of the designed FOADRC are less than 17.11% and 52.50% of the JITAE of IOADRC and PID controller, respectively.

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