Implementation of stabilizing receding horizon controls for time-varying systems

Kim, Ki Baek

doi:10.1016/s0005-1098(02)00087-0

Cited by 24 publications

(24 citation statements)

References 11 publications

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“…Since the RHC can consider a finite horizon cost function for closed-loop stability, it takes advantage of handling input/state constraints, time-varying systems, etc. Finite horizon formulations with finite terminal weighting matrices have been widely investigated [1,2,3,4,5,6,7,8], since they include the infinite horizon formulation in [9].…”

Section: Introductionmentioning

confidence: 99%

“…In the literature, terminal weighting matrices have often been represented by inequality conditions that guarantee closed-loop stability [1,3,4,5,6].…”

Section: Introductionmentioning

confidence: 99%

“…Although other results [1,3] consider a nonlinear feedback RHC and finite horizon, the terminal inequality condition in [3] is not practical as shown in [7] and the fixed terminal weighting matrix in [1] still has a small feasible initial-state set.…”

Section: Introductionmentioning

confidence: 99%

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Linear Time-Varying Systems

2010

Multiple Scales Theory and Aerospace Applications

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Abstract:In this paper, we propose a generalized stabilizing receding horizon control (RHC) scheme for input/state constrained linear discrete time-varying systems that improves feasibility and on-line computation on the constrained finite-horizon optimization problem, compared with existing schemes. The control scheme is based on a time-varying horizon cost function with time-varying terminal weighting matrices, which can easily be implemented via linear matrix inequality (LMI) optimization. We discuss modifications of the proposed scheme that improve feasibility or on-line computation time. Through various simulation examples, we illustrate the results of these schemes.Key-words: RHC, constrained, time-varying, stability, feasibility, computation time. Conception de contrôles stabilisateurs à horizon fuyant pour des systèmes linéaires contraints et variables dans le tempsRésumé : Nous proposons dans cet article un nouveau cadre pour le contrôle stabilisateur à horizon fuyant pour des systèmes linéaires variables dans le temps, discrets et contraints en entrée/sortie. Par rapport aux cadres existants, cette nouvelle approche améliore la faisabilité et le calcul en ligne de l'optimisation sous contraintes à horizon fini. Ce cadre est basé sur une fonction de coût à horizon variable dans le temps avec des matrices de poids associées à l'état terminal qui peuvent facilement être obtenues par des optimisations basées sur des inégalités matricielles. Nous discutons des modifications du cadre proposé qui améliorent la faisabilité et le calcul en ligne. La simulation de divers exemples illustre les résultats obtenus dans ce cadre.

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Section: Introductionmentioning

confidence: 99%

“…In the literature, terminal weighting matrices have often been represented by inequality conditions that guarantee closed-loop stability [1,3,4,5,6].…”

Section: Introductionmentioning

confidence: 99%

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Linear Time-Varying Systems

2010

Multiple Scales Theory and Aerospace Applications

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“…For this reason, RHC has been widely investigated as one of the easiest ways to handle input/state-constraints [1], [2], disturbances [3], time-varying tracking commands [4], [5], etc.…”

Section: Introductionmentioning

confidence: 99%

“…. ; i + N 0 1 (3) where J(i; i + N) (3) can be converted to the equivalent optimization problem Minimize U(i) (i) (5) subject to …”

Section: Introductionmentioning

confidence: 99%

Disturbance Attenuation for Constrained Discrete-Time Systems via Receding Horizon Controls

Kim

2004

IEEE Trans. Automat. Contr.

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Abstract-In this note, we propose new receding horizon control (RHHC) schemes for linear input-constrained discrete time-invariant systems with disturbances. The proposed control schemes are based on the dynamic game problem of a finite-horizon cost function with a fixed finite terminal weighting matrix and a one-horizon cost function with timevarying finite terminal weighting matrices, respectively. We show that the resulting RHHCs guarantee closed-loop stability in the absence of disturbances and norm bound for 2-norm bounded disturbances. We also show that the proposed schemes can easily be implemented via linear matrix inequality optimization. We illustrate the effectiveness of the proposed schemes through simulations.

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Simulation‐Based Design of Dual‐Mode Controller for Non‐Linear Processes

Lee

2007

Can J Chem Eng

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This paper presents a simulation‐based approach for designing a non‐linear override control scheme to improve the performance of a local linear controller. The higher‐level non‐linear controller monitors the dynamic state of the system and calculates an override control action whenever the system is predicted to move outside an acceptable operating regime under the local controller. The design of the non‐linear override controller is based on a cost‐to‐go function, which is constructed by using simulation or operation data. The cost‐to‐go function delineates the admissible region of state space within which the local controller is effective, thereby yielding a switching rule.

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Implementation of stabilizing receding horizon controls for time-varying systems

Cited by 24 publications

References 11 publications

Linear Time-Varying Systems

Linear Time-Varying Systems

Disturbance Attenuation for Constrained Discrete-Time Systems via Receding Horizon Controls

Simulation‐Based Design of Dual‐Mode Controller for Non‐Linear Processes

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