2017
DOI: 10.1016/j.automatica.2017.01.040
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Stability of finite horizon model predictive control with incremental input constraints

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Cited by 45 publications
(79 citation statements)
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“…In the literature, there are several methods to find an invariant set and a terminal penalty cost such that the stability of the quasi-infinite horizon-based MPC (3) can be guaranteed, e.g., [5,25,26]. In these studies, V(x) = x T Px is shown as a local Lyapunov function in the set E = {x|x T Px ≤ α} under a stabilizing control law κ(x) = Kx, meaning that A1-A4 in Lemma 1 are satisfied.…”
Section: Mpc Based On the In-between Terminal Setmentioning
confidence: 99%
See 2 more Smart Citations
“…In the literature, there are several methods to find an invariant set and a terminal penalty cost such that the stability of the quasi-infinite horizon-based MPC (3) can be guaranteed, e.g., [5,25,26]. In these studies, V(x) = x T Px is shown as a local Lyapunov function in the set E = {x|x T Px ≤ α} under a stabilizing control law κ(x) = Kx, meaning that A1-A4 in Lemma 1 are satisfied.…”
Section: Mpc Based On the In-between Terminal Setmentioning
confidence: 99%
“…Note that (8) is equivalent with (7). A method based on the existing method [5,25,26] can also be employed to make Assumption 2 holds true. In fact, the following lemma can be obtained by extending the result in [26].…”
Section: Mpc Based On the In-between Terminal Setmentioning
confidence: 99%
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“…The predictive controller design based on input-output description does not use it in a basic formulation of the cost function. The terminal state is obviously introduced in the extensions concerning the stability and robustness; see, e.g., [9][10][11][12][13][14][15]. The terminal state brings into the cost function dependence on all state variables.…”
Section: Standard Controller Designmentioning
confidence: 99%
“…Most industrial processes are inherently non‐linear and multivariable, as well as constraints on control amplitude, output or state, and their variations should be taken into account to calculate the control law. If inherent constraints of the system are not considered, control of the closed‐loop system can become progressively worse . On this matter more advanced control strategies, such as MPC, should then be used.…”
Section: Introductionmentioning
confidence: 99%