Boundary Tracking Using Sampling Based Model Predictive Control Law

2019 ◽  
Author(s):  
Karishma Patnaik ◽  
Ashwini Ratnoo
Author(s):  
Aymen Rhouma ◽  
Faouzi Bouani ◽  
Badreddine Bouzouita ◽  
Mekki Ksouri

This paper provides the model predictive control (MPC) of fractional order systems. The direct method will be used as internal model to predict the future dynamic behavior of the process, which is used to achieve the control law. This method is based on the Grünwald–Letnikov's definition that consists of replacing the noninteger derivation operator of the adopted system representation by a discrete approximation. The performances and the efficiency of this approach are illustrated with practical results on a thermal system and compared to the MPC based on the integer ARX model.


Author(s):  
C Ocampo-Martinez ◽  
P Guerra ◽  
V Puig ◽  
J Quevedo

This paper presents a computational procedure to evaluate the fault tolerance of a linear-constrained model predictive control (LCMPC) scheme for a given actuator fault configuration (AFC). Faults in actuators cause changes in the constraints related to control signals (inputs), which in turn modify the set of MPC feasible solutions. This fact may result in an empty set of admissible solutions for a given control objective. Therefore, the admissibility of the control law facing actuator faults can be determined by knowing the set of feasible solutions. One of the aims of this paper is to provide methods to compute this set and to evaluate the admissibility of the control law for a given AFC, once the control objective and the admissibility criteria have been established. In particular, the admissible solution set for the predictive control problem, including the effect of faults (either through reconfiguration or accommodation), is determined using an algorithm that is implemented using set computations based on zonotopes. Finally, the proposed method is tested on a real application consisting of a part of the Barcelona sewer network.


2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Zhou Chao ◽  
Shao-Lei Zhou ◽  
Lei Ming ◽  
Wen-Guang Zhang

We designed a distributed collision-free formation flight control law in the framework of nonlinear model predictive control. Formation configuration is determined in the virtual reference point coordinate system. Obstacle avoidance is guaranteed by cost penalty, and intervehicle collision avoidance is guaranteed by cost penalty combined with a new priority strategy.


Author(s):  
Yi-Wen Liao ◽  
J. Karl Hedrick

In this paper, a robust control architecture is proposed for lane-keeping and obstacle avoidance of autonomous ground vehicles. A two-level hierarchical controller is used to separate the planning and tracking problems. At the higher-level, we solve a nonlinear model predictive control (MPC) problem with an oversimplified point-mass model. The desired trajectories are generated and fed into the lower-level controller, where a force-input nonlinear bicycle model is considered to set up the tracking control law. Moreover, at each time step, a linearized bicycle model is derived and implemented to reduce the real-time computational complexity. Based on the above profile, a discrete-time integral sliding MPC (DISMPC) technique is used to improve the system robustness. By introducing an additional sliding control term into the feedback control law, the system trajectories can be maintained within a quasi-sliding band. In this case, it becomes necessary to take into account the system dynamics induced by the sliding control. Namely, the state and the input constraints of the MPC problem at each level need to be tightened. This helps to guarantee the feasibility of the original constrained problem in the presence of disturbances. Simulations have been carried out to verify the effectiveness of the proposed controller. The results show that the controller is able to simultaneously achieve lane-keeping and obstacle avoidance with uncertain friction coefficients.


Author(s):  
Xiaohe Yang ◽  
Weijie Lv ◽  
Chaofang Hu ◽  
Yongtai Hu

In this paper, tube-model predictive control based on the sum of squares technique is developed for hypersonic vehicles with state-dependent input constraints. Firstly, the longitudinal non-linear model in the presence of uncertain parameters is transformed into the polytopic linear parameter varying model with bounded disturbance by feedback linearization. Then the actual input constraints are converted to the virtual state-dependent input constraints in linear multivariable polynomial. A composite feedback control law based on tube-model predictive control is designed into a convex combination of unconstrained and constrained control. The real control law can be obtained by inversion. The sum of squares technique is used to transform the polynomial constraints into the convex matrix sum of squares condition via linear matrix inequality. Finally, simulation results verify the effectiveness of the proposed controller.


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