Synthesis of dynamic output feedback RMPC with saturated inputs

Li, Dewei; Xi, Yugeng; Gao, Furong

doi:10.1016/j.automatica.2013.01.010

Cited by 91 publications

(117 citation statements)

References 12 publications

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“…Remark It is worth noting that the term

\overset{B}{true} F \overset{C}{true}

in involves a product between the uncertain matrices

\overset{B}{true}

and

\overset{C}{true}

. Therefore, in order to account for all possible convex combinations of the vertices of the original model, the LMI conditions in the proposed OFRMPC formulation will be imposed on all combinations of

{\overset{B}{true}}_{i}

and

{\overset{C}{true}}_{j}

, with i = 1, 2, …, n v and j =1,2,…, n v , as in .…”

Section: Preliminaries and Problem Statementmentioning

confidence: 99%

A new OFRMPC formulation with on‐line synthesis of the dynamic output feedback controller

Colombo

Galvão

Assunção

2017

Intl J Robust & Nonlinear

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Summary This paper proposes a new approach for the design of output feedback robust model predictive control (OFRMPC) with a dynamic output feedback controller (DOFC) for linear uncertain systems subject to input and output constraints. The main contribution of this work is the full on‐line synthesis of the DOFC as part of a convex optimization problem, with constraint satisfaction and asymptotic stability guarantees. A numerical example is employed to illustrate the advantage of the proposed control law, as compared with another OFRMPC strategy with partial DOFC synthesis. The present paper also points out an inconsistency in the mathematical development of a previous related OFRMPC formulation (‘improved dynamic output feedback RMPC for linear uncertain systems with input constraints’). Copyright © 2017 John Wiley & Sons, Ltd.

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“…Remark It is worth noting that the term

\overset{B}{true} F \overset{C}{true}

in involves a product between the uncertain matrices

\overset{B}{true}

and

\overset{C}{true}

{\overset{B}{true}}_{i}

and

{\overset{C}{true}}_{j}

, with i = 1, 2, …, n v and j =1,2,…, n v , as in .…”

Section: Preliminaries and Problem Statementmentioning

confidence: 99%

A new OFRMPC formulation with on‐line synthesis of the dynamic output feedback controller

Colombo

Galvão

Assunção

2017

Intl J Robust & Nonlinear

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“…The actuator saturation is an essential issue in the control community, thus has been focused on in recent years, e.g. Li, Xi, and Gao (2013) and Huang et al (2013). Packet loss is another hot topic lately due to the potential source of instability and poor performance in networks in control systems.…”

Section: Problem Formulationmentioning

confidence: 99%

MixedH₂/H_∞distributed robust model predictive control for polytopic uncertain systems subject to actuator saturation and missing measurements

Song

Fang

Diao

2014

International Journal of Systems Science

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In this paper, we discuss the mixed H 2 /H ∞ distributed robust model predictive control problem for polytopic uncertain systems subject to randomly occurring actuator saturation and packet loss. The global system is decomposed into several subsystems, and all the subsystems are connected by a fixed topology network, which is the definition for the packet loss among the subsystems. To better use the successfully transmitted information via Internet, both the phenomena of actuator saturation and packet loss resulting from the limitation of the communication bandwidth are taken into consideration. A novel distributed controller model is established to account for the actuator saturation and packet loss in a unified representation by using two sets of Bernoulli distributed white sequences with known conditional probabilities. With the nonlinear feedback control law represented by the convex hull of a group of linear feedback laws, the distributed controllers for subsystems are obtained by solving an linear matrix inequality (LMI) optimisation problem. Finally, numerical studies demonstrate the effectiveness of the proposed techniques.

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“…is polytopic, then one can refer to [2], [11] when x(k) is measurable, and to [14], [16] when x(k) is unmeasurable and w(k) ≡ 0. In comparison, this paper and [5], [7], [3], [4] consider a general form of (1), where x(k) can be unmeasurable, [A|B|C|D|E](k) is polytopic, and w(k) is persistent unknown norm-bounded.…”

Section: Problem Statementmentioning

confidence: 99%

“…We simulate three methods: Mthd2 and Mthd3, by applying (19) and (25), respectively, where η rs 's are optimized according to Algorithm 1; Mthd1, which is similar to Mthd2 but η 1s = η 3s = 1 2 and η 2s = 1 3 (see Remark 2). In the absence of state constraint |x(k + 1)| ≤ 0.5, Mthd1 is referred to as in [3] (except that in [3], α lj = α, and the invariance condition (14) and the optimality condition (15) have been combined -these are not the intrinsic differences). Choose {N 0 , d, d 0 , κ} = {200, 0, 0, 0.98} (see [3]: N 0 is the maximum allowable amount of iterations in the cone complementarity approach; d and d 0 are the complexity index and the maximum complexity index, respectively; κ is the accuracy for minimizing γ).…”

Section: Illustrative Examplementioning

confidence: 99%

Dynamic output feedback robust MPC with relaxed constraint handling for LPV system with bounded disturbance

Ding

Ping

et al. 2014

Proceeding of the 11th World Congress on Intelligent Control and Automation

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For the constrained linear parameter varying (LPV) system with bounded disturbance, a dynamic output feedback model predictive control (MPC), with a series of scalars for relaxing the disturbance-related constraints handling, is proposed. An optimization procedure, for off-line determining the relaxation scalars, is proposed based on the norm-bounding technique. The augmented state of the closed-loop system is guaranteed to converge to the neighborhood the equilibrium point. A numerical example is given to show the effectiveness of the results.

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Synthesis of dynamic output feedback RMPC with saturated inputs

Cited by 91 publications

References 12 publications

A new OFRMPC formulation with on‐line synthesis of the dynamic output feedback controller

A new OFRMPC formulation with on‐line synthesis of the dynamic output feedback controller

MixedH₂/H_∞distributed robust model predictive control for polytopic uncertain systems subject to actuator saturation and missing measurements

Dynamic output feedback robust MPC with relaxed constraint handling for LPV system with bounded disturbance

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Synthesis of dynamic output feedback RMPC with saturated inputs

Cited by 91 publications

References 12 publications

A new OFRMPC formulation with on‐line synthesis of the dynamic output feedback controller

A new OFRMPC formulation with on‐line synthesis of the dynamic output feedback controller

MixedH2/H∞distributed robust model predictive control for polytopic uncertain systems subject to actuator saturation and missing measurements

Dynamic output feedback robust MPC with relaxed constraint handling for LPV system with bounded disturbance

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MixedH₂/H_∞distributed robust model predictive control for polytopic uncertain systems subject to actuator saturation and missing measurements