scholarly journals Stochastic constrained control: Trading performance for state constraint feasibility

2013 ◽  
Author(s):  
Luca Deori ◽  
Simone Garatti ◽  
Maria Prandini
Keyword(s):  
State Constraint ◽  
Constrained Control ◽  
Constraint Feasibility

Constrained Control Design for Magnetic Bearing Systems

2005 ◽  
Vol 127 (4) ◽  
pp. 601-616 ◽  
Author(s):  
Tingshu Hu ◽  
Zongli Lin ◽  
Wei Jiang ◽  
Paul E. Allaire
Keyword(s):  
Systematic Approach ◽  
State Constraints ◽  
Control Design ◽  
State Constraint ◽  
Magnetic Bearing ◽  
Constrained Control ◽  
Balance Beam ◽  
The Stability ◽  
Safety Operation ◽  
Input And State Constraints

We study control problems in magnetic bearing systems that are subject to both input and state constraints. Apart from the usual restrictions on voltages and currents in the circuit systems, most magnetic bearing systems are subject to a severe state constraint: the motion of the rotor (the suspended object) is only allowed in an extremely small airgap, otherwise the collision of the rotor and the stator would cause severe damages. Traditional methods for avoiding a collision include increasing the airgap and increasing the currents, which would usually result in unnecessarily large capacity of power supply and power loss. In this paper we present a systematic approach for dealing with all the input and state constraints by using some recently developed tools for constrained control design. Issues on the stability region, robustness, disturbance rejections, and transient response are addressed. We hope that by dealing with the constraints properly, safety operation can be ensured with relatively small currents and power consumption. Experiments on the balance beam test rig in our laboratory show that the design techniques are effective.

Robust Variance-constrained Control of a Class of Stochastic Hybrid Systems

2010 ◽  
Vol 36 (2) ◽  
pp. 337-343
Author(s):  
You-Li WU ◽  
Yang-Wang FANG ◽  
Hong-Qiang WANG ◽  
Wen-Jie LIU
Keyword(s):  
Hybrid Systems ◽  
Constrained Control ◽  
Stochastic Hybrid Systems ◽  
Robust Variance

scholarly journals Design and Analysis of Nonlinear Constrained Control Algorithm for Rigid Aircraft

2020 ◽  
Vol 53 (5) ◽  
pp. 476-478
Author(s):  
Bo Yu ◽  
HaiBo Du ◽  
Jun Zhou ◽  
Di Wu
Keyword(s):  
Control Algorithm ◽  
Constrained Control

Multi-layer controller with state-constraint: Vehicle lateral stability control based on fuzzy logic

2021 ◽  
pp. 095440702110142
Author(s):  
Neng Wan ◽  
Guangping Zeng ◽  
Chunguang Zhang ◽  
Dingqi Pan ◽  
Songtao Cai
Keyword(s):  
Control System ◽  
Integrated Control ◽  
State Constraint ◽  
Stability Control ◽  
Lateral Stability ◽  
System A ◽  
Velocity Reduction ◽  
Vehicle Velocity ◽  
Allowable Range ◽  
Simulation Results

This paper deals with a new state-constrained control (SCC) system of vehicle, which includes a multi-layer controller, in order to ensure the vehicle’s lateral stability and steering performance under complex environment. In this system, a new constraint control strategy with input and state constraints is applied to calculate the steady-state yaw moment. It ensures the vehicle lateral stability by tracking the desired yaw rate value and limiting the allowable range of the side slip. Through the linkage of the three-layer controller, the tire load is optimized and achieve minimal vehicle velocity reduction. The seven-degree-of-freedom (7-DOF) simulation model was established and simulated in MATLAB to evaluate the effect of the proposed controller. Through the analysis of the simulation results, compared with the traditional ESC and integrated control, it not only solves the problem of obvious velocity reduction, but also solves the problem of high cost and high hardware requirements in integrated control. The simulation results show that designed control system has better performance of path tracking and driving state, which is closer to the desired value. Through hardware-in-the-loop (HIL) practical experiments in two typical driving conditions, the effectiveness of the above proposed control system is further verified, which can improve the lateral stability and maneuverability of the vehicle.

scholarly journals Stabilization of Burgers’ equation by constrained control

2020 ◽  
Vol 53 (2) ◽  
pp. 7497-7502
Author(s):  
Wen Kang ◽  
Emilia Fridman
Keyword(s):  
Burgers Equation ◽  
Constrained Control

scholarly journals Optimal control of the Sabatier process in microchannel reactors

2021 ◽  
Vol 128 (1) ◽  
Author(s):  
Sebastian Blauth ◽  
Christian Leithäuser ◽  
René Pinnau
Keyword(s):  
Flow Rate ◽  
Wall Temperature ◽  
Optimization Problems ◽  
Product Yield ◽  
Identification Problem ◽  
State Constraint ◽  
Optimization Techniques ◽  
Reacting Flow ◽  
Microchannel Reactor ◽  
Highly Nonlinear

AbstractWe consider the optimization of a chemical microchannel reactor by means of PDE-constrained optimization techniques, using the example of the Sabatier reaction. To model the chemically reacting flow in the microchannels, we introduce a three- and a one-dimensional model. As these are given by strongly coupled and highly nonlinear systems of partial differential equations (PDEs), we present our software package cashocs which implements the adjoint approach and facilitates the numerical solution of the subsequent optimization problems. We solve a parameter identification problem numerically to determine necessary kinetic parameters for the models from experimental data given in the literature. The obtained results show excellent agreement to the measurements. Finally, we present two optimization problems for optimizing the reactor’s product yield. First, we use a tracking-type cost functional to maximize the reactant conversion, keep the flow rate of the reactor fixed, and use its wall temperature as optimization variable. Second, we consider the wall temperature and the inlet gas velocity as optimization variables, use an objective functional for maximizing the flow rate in the reactor, and ensure the quality of the product by means of a state constraint. The results obtained from solving these problems numerically show great potential for improving the design of the microreactor.

Extremal solutions of some constrained control problems∗

Optimization ◽  
1995 ◽  
Vol 35 (4) ◽  
pp. 345-355 ◽  
Author(s):  
H. X. Phu ◽  
H. G. Bock ◽  
J. P. Schölder
Keyword(s):  
Extremal Solutions ◽  
Control Problems ◽  
Constrained Control ◽  
Constrained Control Problems
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