Design of a sliding mode controller for decentralised multi-input systems

Chung, Chien-Wen; Chang, Yao‐Ting

doi:10.1049/iet-cta.2009.0552

Cited by 7 publications

(14 citation statements)

References 18 publications

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“…In [14,15], a decentralized SMC scheme was proposed for a class of interconnected time-delayed systems with dead-zone input. In [16], a multiple-sliding surface control scheme is presented for a class of multiinput perturbed systems. In [17], a decentralized dynamic output feedback sliding mode controller is designed for mismatched uncertain interconnected systems.…”

Section: Introductionmentioning

confidence: 99%

Output Feedback and Single-Phase Sliding Mode Control for Complex Interconnected Systems

Tsai

Huynh

2015

Mathematical Problems in Engineering

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This paper generalized a new sliding mode control (SMC) without reaching phase to solve two important problems in the stability of complex interconnected systems: (1) a decentralized controller that uses only output variables directly and (2) the stability of complex interconnected systems ensured for all time. A new sliding surface is firstly designed to construct a single-phase SMC in which the desired motion is determined from the initial time instant. A new lemma is secondly established for the controller design using only output variables. The proposed single-phase SMC and the decentralized output feedback controller ensure the robust stability of complex interconnected systems from the beginning to the end. One of the key features of the single phase SMC scheme is that reaching time, which is required in most of the existing two phases of SMC approaches to stabilize the interconnected systems, is removed. Finally, a numerical example is used to demonstrate the efficacy of the method.

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Section: Introductionmentioning

confidence: 99%

Output Feedback and Single-Phase Sliding Mode Control for Complex Interconnected Systems

Tsai

Huynh

2015

Mathematical Problems in Engineering

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“…Thus, system behavior in sliding mode is not invariant to mismatched uncertainty. Many techniques, such as [23][24][25], have been applied to deal with mismatched uncertainties in sliding mode. The authors of [23] proposed a decentralized SMC law for a class of mismatched uncertain interconnected systems by using two sets of switching surfaces.…”

Section: Introductionmentioning

confidence: 99%

“…In [24], a decentralized dynamic output feedback based on a linear controller was proposed for the same systems. In [25], by using a multiple-sliding surface, a new control scheme was presented for a class of decentralized multi-input perturbed systems. However, time delays are not included in the above approaches [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Output Feedback Sliding Mode Control for Complex Interconnected Time-Delay Systems

Huynh

Tsai

Phan

2015

Mathematical Problems in Engineering

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We extend the decentralized output feedback sliding mode control (SMC) scheme to stabilize a class of complex interconnected time-delay systems. First, sufficient conditions in terms of linear matrix inequalities are derived such that the equivalent reduced-order system in the sliding mode is asymptotically stable. Second, based on a new lemma, a decentralized adaptive sliding mode controller is designed to guarantee the finite time reachability of the system states by using output feedback only. The advantage of the proposed method is that two major assumptions, which are required in most existing SMC approaches, are both released. These assumptions are (1) disturbances are bounded by a known function of outputs and (2) the sliding matrix satisfies a matrix equation that guarantees the sliding mode. Finally, a numerical example is used to demonstrate the efficacy of the method.

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“…This method also is designed based on output information [12], and in the higher-order form [13,14]. Additionally, the SMC is applied to control a complete model power system with match and mismatch uncertainties [15], and a simplified second-order model in [16]. All of the mentioned papers have been developed based on integer-order calculus.Fractional calculus is an old mathematical with a generalization of ordinary differentiationintegration to an arbitrary order.…”

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confidence: 99%

Nonlinear fractional‐order power system stabilizer for multi‐machine power systems based on sliding mode technique

Shoja-Majidabad

Shandiz

Hajizadeh

2014

Intl J Robust & Nonlinear

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SUMMARYThis paper presents two novel nonlinear fractional-order sliding mode controllers for power angle response improvement of multi-machine power systems. First, a nonlinear block control is used to handle nonlinearities of the interconnected power system. In the second step, a decentralized fractional-order sliding mode controller with a nonlinear sliding manifold is designed. Practical stability is achieved under the assumption that the upper bound of the fractional derivative of perturbations and interactions are known. However, when an unknown transient perturbation occurs in the system, it makes the evaluation of perturbation and interconnection upper bound troublesome. In the next step, an adaptive-fuzzy approximator is applied to fix the mentioned problem. The fuzzy approximator uses adjacent generators relative speed as own inputs, which is known as semi-decentralized control strategy. For both cases, the stability of the closed-loop system is analyzed by the fractional-order stability theorems. Simulation results for a three-machine power system with two types of faults are illustrated to show the performance of the proposed robust controllers versus the conventional sliding mode. Additionally, the fractional parameter effects on the system transient response and the excitation voltage amplitude and chattering are demonstrated in the absence of the fuzzy approximator. Finally, the suggested controller is combined with a simple voltage regulator in order to keep the system synchronism and restrain the terminal voltage variations at the same time.

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Design of a sliding mode controller for decentralised multi-input systems

Cited by 7 publications

References 18 publications

Output Feedback and Single-Phase Sliding Mode Control for Complex Interconnected Systems

Output Feedback and Single-Phase Sliding Mode Control for Complex Interconnected Systems

Adaptive Output Feedback Sliding Mode Control for Complex Interconnected Time-Delay Systems

Nonlinear fractional‐order power system stabilizer for multi‐machine power systems based on sliding mode technique

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