Robust model-based predictive controller for hybrid system via parametric programming
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In this paper we present an algorithm for the design of robust model-based predictive control for hybrid system under uncertainty via parametric programming. The proposed min-max hybrid control scheme guarantees feasible plant operation for the maximum violation of uncertainty scenario. The key advantage of the proposed hybrid controller design is reduction in expensive, repetitive in nature on-line computations by providing the entire map of optimal robust control policy in given state space. The resulting piecewise affine optimal control law as a function of states can then be implemented online as a sequence of simple function evaluations. An example is presented to illustrate the details of the proposed robust hybrid parametric controller design. 2005 Elsevier B.V. All rights reserved.