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Nonlinear model predictive control for periodic systems using LMIs | IEEE Conference Publication | IEEE Xplore

Nonlinear model predictive control for periodic systems using LMIs


Abstract:

The problem of stabilizing constrained nonlinear discrete-time periodic systems using model predictive control (MPC) is considered in this paper. The results are based on...Show More

Abstract:

The problem of stabilizing constrained nonlinear discrete-time periodic systems using model predictive control (MPC) is considered in this paper. The results are based on a recently developed MPC scheme for linear periodic systems which is extended to the nonlinear case by using differential inclusion. Alternatively, it can be viewed as an extension of a well-known robust MPC scheme exploiting the periodicity of the system and therefore reducing conservatism. At each time instant, a new periodic linear state feedback law is obtained based on the repeated solution of a convex optimization problem involving a set of linear matrix inequalities (LMIs). The approach can therefore take advantage of existing efficient and reliable algorithms for LMIs. A numerical example demonstrates the effectiveness of the proposed scheme.
Date of Conference: 23-26 August 2009
Date Added to IEEE Xplore: 02 April 2015
Print ISBN:978-3-9524173-9-3
Conference Location: Budapest, Hungary

References

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