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A Multistep, Newton-Type Control Strategy for Constrained, Nonlinear Processes

A Multistep, Newton-Type Control Strategy for Constrained, Nonlinear Processes,Wei C. Li,Lorenz T. Biegler

A Multistep, Newton-Type Control Strategy for Constrained, Nonlinear Processes   (Citations: 21)
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For linear processes, QDMC has proven to be an effective way of systematically handling both input and output process constraints. This note describes an analogous extension of QDMC for nonlinear, constrained Processes. Based on Newton-type methods implemented in a moving horizon framework, a multi-step algorithm is derived that solves a single quadratic program (QP) over each time horizon. Sufficient stability properties can be invoked through the concept of descent directions, and these conditions can also be checked on-line. Finally, the method is illustrated on a small reactor example with state and input time delays.
Published in 1989.
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    • ...Our choice for the Hessian approximation is that of a Constrained Gauss-Newton method [17] but we introduce additional linear terms in the cost that prove to be instrumental in connecting the optimality conditions of each LQ-OCP subproblem to the those of the NL-OCP...

    Luis A. Rodriguezet al. A sequential linear quadratic approach for constrained nonlinear optim...

    • ...Li and Biegler [14] have proposed multistep Newton-type control strategies for constrained nonlinear processes...
    • ...This investigation is originated from the work reported in [14]; however there are some differences between the present research and the original one especially with regard to the method of formulation...

    A. Rahidehet al. Real time nonlinear model predictive control for fast systems

    • ...That is why algorithms using linearization, though sub-optimal, were developed in order to formulate the problem of predictive control calculation as a convex linear-quadratic optimization problem (Garcia, 1984; Gattu and Zafiriou, 1992; Lee and Ricker, 1994; Li and Biegler, 1989; Marusak and Tatjewski, 2000; Mutha et al., 1997; 1998)...

    Piotr M. Marusaket al. Effective Dual-Mode Fuzzy DMC Algorithms with On-Line Quadratic Optimi...

    • ...Li and Biegler [8] have proposed multistep Newton-type control strategies for constrained nonlinear processes in which the nonlinear model is linearized around a nominal trajectory and solve a quadratic problem over the horizon...
    • ...As mentioned before, the idea has been originated from the work of Li and Biegler [8]...
    • ...This research is originated from the work of Li and Biegler [8] in which the linear model is updated during the prediction horizon as well...

    Akbar Rahidehet al. Stable adaptive model predictive control for nonlinear systems

    • ...[Wri96, BWB00, TR01, Bie00, LB89, OB95b, TWR02, MBF02])...
    • ...In particular, a one-iteration scheme has been proposed by Li and Biegler in [LB89] for the sequential approach...

    Moritz Diehlet al. Nominal stability of real-time iteration scheme for nonlinear model pr...

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