Camacho abstractfeedback minmax model predictive control based on a quadraticcost functionisaddressedin thispaper. Selftriggered adaptive model predictive control of constrained. Minmax model predictive control of nonlinear systems. Minmax model predictive control of a pilot plant conference paper pdf available in proceedings of the american control conference 53. Minmax feedback formulations of model predictive control are discussed, both in the fixed and variable horizon contexts.
To achieve control objective 10, we use minmax model predictive control proposed in 16. Themain contribution is an algorithm for solving the minmax quadratic. New methods for computing the terminal cost for minmax model. However, most robust mpc schemes can be classified into two categories 33. The polysolenoid linear motor plm have been playing a crucial role in many industrial aspects because it provides a straight motion directly without mediate. Feedback minmax model predictive control based on a. The control schemes the authors discuss introduce, in the control optimization, the notion that feedback is present in the recedinghorizon implementation of the control. Adaptive control processesa guided tour, princeton university press 1961. Camacho minmax mpc 7 why minmax model predictive control. Summary this work deals with the problem of trajectory tracking for a nonlinear system with unknown but bounded model parameter.
Min max model predictive control mpc is one of the few techniques suitable for robust stabilization of uncertain nonlinear systems subject to constraints. The estimation of uncertainties is employed to reformulate the optimization problem in a minmax mpc scheme to reduce the conservatism. Tutorial overview of model predictive control ieee. Pdf min max model predictive control for polysolenoid. Fontes and lalo magni abstract this paper proposes a model predictive control mpc algorithm for the solution of a robust control problem for continuoustime systems. An approximation of the worst case cost is used to obtain the control action. In general the model predictive control problem for maxminplusscaling systems leads to a nonlinear nonconvex optimization problem, that can also be. Minmax model predictive control mpc is one of the few techniques suitable for robust stabilization of uncertain nonlinear systems subject to constraints. In modern cyberphysical systems cpss where control inputs are generally transmitted via shared communication networks, there is a desire to balance the closedloop control performance with the communication cost necessary to achieve this performance.
Tutorial overview of model predictive control ieee control systems mag azine author. Use the select into dmx statement to copy the structure of an existing mining model into a new mining model and to train the new model with the same data. A minmax feedback model predictive control approach using disturbance feedback policies is also presented, which leads to improved performance compared to the openloop approach. In quasi minmax model predictive control scheme, the objective function is splitted into two. Feedback minmax model predictive control based on a quadratic cost function d.
This approximation can be easily computed yielding a solution of the minmax problem very close to the exact one. Index termsfeedback, minmax optimization, model predictive con trol. Discontinuous feedback strategies are allowed in the solution of the minmax. Minmax model predictive control of nonlinear systems using discontinuous feedbacks fernando a. Two different predictive control formulations are developed based on minimization of. Review and cite model predictive control protocol, troubleshooting and other. In the case when hard constraints are imposed on state and input variables, the minmax model predictive control mpc methodology provides a reliable solution. In this formulation, the optimization is performed with respect to all possible evolutions of the disturbance. Robust selftriggered minmax model predictive control for. Model predictive control for maxminplusscaling systems. This paper shows the application of a minmax model predictive control mmmpc strategy to a pilot plant in which the temperature of a reactor is controlled. A decomposition algorithm for feedback minmax model predictive. Stability issues as well as robustness have been recently studied and some novel contributions on this topic have appeared in the literature. Model predictive control mpc is a control methodology that is.
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