Model recovery anti-windup for continuous-time rate and magnitude saturated linear plants

Forni, Fulvio; Galeani, Sergio; Zaccarian, Luca

doi:10.1016/j.automatica.2012.05.019

Cited by 24 publications

(15 citation statements)

References 45 publications

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“…Moreover, if the K aw selection guarantees the asymptotic stability of the subsystem Equation (9b), then the following conclusions hold [31,32,36]:…”

Section: Theoremmentioning

confidence: 99%

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Anti-Windup Load Frequency Controller Design for Multi-Area Power System with Generation Rate Constraint

et al. 2016

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Abstract:To deal with the problem of generation rate constraint (GRC) during load frequency control (LFC) design for a multi-area interconnected power system, this paper proposes an anti-windup controller design method. Firstly, an H ∞ dynamic controller is designed to obtain robust performance of the closed-loop control system in the absence of the GRC. Then, an anti-windup compensator (AWC) is formulated to restrict the magnitude and rate of the control input (namely power increment) in the prescribed ranges so that the operation of generation unit does not exceed the physical constraints. Finally, the anti-windup LFC is tested on the multi-area interconnected power systems, and the simulation results illustrate the effectiveness of the proposed LFC design method with GRC.

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“…Moreover, if the K aw selection guarantees the asymptotic stability of the subsystem Equation (9b), then the following conclusions hold [31,32,36]:…”

Section: Theoremmentioning

confidence: 99%

“…The proof of the above theorem is omitted in this paper, since it has been presented in the literature [31,32,36] in detail. According to the theorem, the key step for synthesizing the anti-windup controller is to design the gain matrix K aw to keep the subsystem Equation (9b) stable.…”

Section: Remarkmentioning

confidence: 99%

Anti-Windup Load Frequency Controller Design for Multi-Area Power System with Generation Rate Constraint

et al. 2016

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“…Moreover, the algorithm proposed in [11] is derived only for magnitude saturation. The authors of [6] have already proposed in [3] one possible LPV extension of the same compensator design concept we also use in this paper. In contrast to our approach, [3] handles only magnitude saturation and the compensator is based on the polytopic controlled invariant set of the plant.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper the LTI-MRAW compensator scheme described in [4] and [6] is extended to LPV plants. The proposed method remains applicable if both magnitude and rate saturation are present and applies quadratic Lyapunov function with ellipsoidal level sets; both can be easily computed even for large dimensional plants.…”

Section: Introductionmentioning

confidence: 99%

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Model recovery anti-windup compensator design for magnitude and rate saturated LPV systems

Péni

Szabó

Vanek

et al. 2013

52nd IEEE Conference on Decision and Control

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Abstract-This paper extends the LTI anti-windup compensator scheme proposed in [6] to linear parameter-varying (LPV) systems. Following the MRAW concept, the dynamical part of the compensator is formed by the exact copy of the plant. The design procedure is thus simplified to the construction of a parameter-dependent state feedback, which stabilizes the plant's copy and determines the performance and the domain of applicability of the compensator. To decrease the conservatism, the presented method applies parameter-dependent Lyapunov function and embeds the saturation (dead-zone) in a parameterdependent sector. The design is formulated as an LMI-based convex optimization problem.The paper also investigates the possibility of eliminating certain free variables in order to reduce the complexity of the synthesis procedure. It is shown that an elimination procedure similar to that in [6] can be carried out, but with LPV systems the reconstruction of the compensator gain is not so straightforward. To overcome the difficulty a novel method is proposed, which is based on a closed formula parameterizing all solutions of the synthesis LMIs. Both of the fully parameterized and the reduced complexity syntheses are presented and their properties are analyzed. The applicability of the methods is demonstrated on a simple LPV plant. I. INTRODUCTIONControl input limitations are always present in real physical systems. If the controller is designed irrespective of these limitations, the later appearance of a saturation may cause undesired behavior in the closed loop: it leads to performance degradation or even instability. This effect is called controller windup.One possible way to minimize the undesired effects of controller windup is using an anti-windup compensator. The concept is simple ([17], [21]): the controller is designed irrespective of the saturation and then a a static or dynamic compensator is designed so that the following three criteria are fulfilled: (1) the closed loop is (locally) stable; (2) if there is no saturation, the nominal performance is guaranteed; (3) in case of saturation the system is driven by the compensator so that the signals leave the saturating domain and the nominal performance is recovered as quickly as possible.There are two large groups of model-based anti-windup solutions ([21], [8]): Direct Linear Anti-Windup (DLAW) and Model Recovery Anti-Windup (MRAW) methods. The direct method considers the unconstrained feedback loop as a special plant and the compensator as a special controller. The compensator construction is then reformulated as a control design problem for which the existing synthesis algorithms -LTI [12] or LPV [2] -can be easily adapted. Since the plant in the compensator design consists of the original plant and the controller, the LMIs are formulated in the extended (plant+controller dimensional) space. If the plant is a high dimensional system and the unconstrained controller inherits this complexity, the optimization problem may become large and computationally demanding. O...

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Sampled-data control under magnitude and rate saturating actuators

Palmeira

Silva

Tarbouriech

et al. 2016

Int. J. Robust. Nonlinear Control

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SUMMARYThis paper addresses the problems of stability analysis and stabilization of sampled-data control systems under magnitude and rate saturating actuators. A position-type feedback modeling for the actuator is considered. Based on the use of a quadratic Lyapunov function, a looped-functional, and generalized sector relations (to cope with nested saturation functions), LMI-based conditions are derived to assess local (regional) and global stability of the closed-loop systems under aperiodic sampling strategies and also to synthesize stabilizing sampled-data state feedback control laws. These conditions are then incorporated in convex optimization problems aiming at maximizing estimates of the region of attraction of the origin or maximizing the inter-sampling time for which the stability is ensured regionally or, when possible, globally.

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Model recovery anti-windup for continuous-time rate and magnitude saturated linear plants

Cited by 24 publications

References 45 publications

Anti-Windup Load Frequency Controller Design for Multi-Area Power System with Generation Rate Constraint

Anti-Windup Load Frequency Controller Design for Multi-Area Power System with Generation Rate Constraint

Model recovery anti-windup compensator design for magnitude and rate saturated LPV systems

Sampled-data control under magnitude and rate saturating actuators

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