Robust Predictive Control for Constrained Uncertain Piecewise Linear Systems using Linear Matrix Inequalities

Thomas, Jean

doi:10.3182/20140313-3-in-3024.00149

Cited by 2 publications

(1 citation statement)

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“…In the work of Zou and Li, RMPC for piecewise linear (PWL) systems with uncertainty are studied where the sequence of PWL feedback controllers is derived online by solving a convex optimization problem involving LMIs, which can lead to a broad computational burden. In order to increase efficiency, presents a constrained infinite horizon RMPC for uncertain PWL systems using LMIs. In the work of Zou and Li, an RMPC for PWL systems with disturbances is introduced.…”

Section: Introductionmentioning

confidence: 99%

H_∞ model predictive control for constrained discrete‐time piecewise affine systems

Sindareh-Esfahani

Pieper

2017

Intl J Robust & Nonlinear

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Summary This paper investigates H∞ stability analysis for piecewise affine (PWA) systems and specifically contributes a new H∞ robust model predictive control strategy for PWA systems in the presence of constraints on the states and inputs and with l2 or norm‐bounded disturbances. The proposed controller is based on piecewise quadratic Lyapunov functions. The problem of minimization of the cost function for model predictive control design is changed to minimization of the worst case of the cost function. Then, this objective is reduced to minimization of a supremum of the cost function subject to a terminal inequality by considering the induced l2‐norm. Finally, the predictive controller design problem is turned into a linear matrix inequality feasibility exercise with constraints on the input signal and state variables. It is shown that the closed‐loop system is asymptotically stable with guaranteed robust H∞ performance. The validity of the proposed method is verified through 3 well‐known examples of PWA systems. Simulation results are provided to show good convergence properties along with capability of the proposed controller to reject disturbances.

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Section: Introductionmentioning

confidence: 99%

H_∞ model predictive control for constrained discrete‐time piecewise affine systems

Sindareh-Esfahani

Pieper

2017

Intl J Robust & Nonlinear

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MPC-based fault tolerant robust control of surface vessel eqquiped with T-foil

Liu

Sun

2018

2018 Chinese Control and Decision Conference (CCDC)

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Robust Predictive Control for Constrained Uncertain Piecewise Linear Systems using Linear Matrix Inequalities

Cited by 2 publications

References 10 publications

H_∞ model predictive control for constrained discrete‐time piecewise affine systems

H_∞ model predictive control for constrained discrete‐time piecewise affine systems

MPC-based fault tolerant robust control of surface vessel eqquiped with T-foil

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Robust Predictive Control for Constrained Uncertain Piecewise Linear Systems using Linear Matrix Inequalities

Cited by 2 publications

References 10 publications

H∞ model predictive control for constrained discrete‐time piecewise affine systems

H∞ model predictive control for constrained discrete‐time piecewise affine systems

MPC-based fault tolerant robust control of surface vessel eqquiped with T-foil

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Product

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About

H_∞ model predictive control for constrained discrete‐time piecewise affine systems

H_∞ model predictive control for constrained discrete‐time piecewise affine systems