Delay-independent decentralised output feedback control for large-scale systems with nonlinear interconnections

Yan, Xing‐Gang; Spurgeon, Sarah K.

doi:10.1080/00207179.2013.841342

Cited by 12 publications

(8 citation statements)

References 24 publications

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“…Under the conditions that all the nominal isolated subsystems have uniform relative degree and the distribution is involutive, the class of nonlinear interconnected systems considered can be transformed to a convenient regular form representation using a local coordinate transformation and feedback linearization. In comparison with most of the existing control methods for interconnected systems [15], [16], [28], the nominal isolated subsystems of the interconnected system considered in this paper are fully nonlinear, which extends both the potential practical application value and theoretical significance. The proposed regular form greatly facilitates decentralised control design.…”

Section: Introductionmentioning

confidence: 96%

Robust decentralised load frequency control for interconnected time delay power systems using sliding mode techniques

Onyeka

Yan

Mao

et al. 2020

IET Control Theory & Applications

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In this paper, a class of interconnected systems is considered, where the nominal isolated systems are fully nonlinear. A robust decentralised sliding mode control based on static state feedback is developed. By local coordinate transformation and feedback linearization, the interconnected system is transformed to a new regular form. A composite sliding surface which is a function of the system state variables is proposed and the stability of the corresponding sliding mode dynamics is analysed. A new reachability condition is proposed and a robust decentralised sliding mode control is then designed to drive the system states to the sliding surface in finite time and maintain a sliding motion thereafter. Both uncertainties and interconnections are allowed to be unmatched and are assumed to be bounded by nonlinear functions. The bounds on the uncertainties and interconnections have more general forms when compared with existing work. A MATLAB simulation example is used to demonstrate the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 96%

Robust decentralised load frequency control for interconnected time delay power systems using sliding mode techniques

Onyeka

Yan

Mao

et al. 2020

IET Control Theory & Applications

View full text Add to dashboard Cite

show abstract

“…Under the conditions that all the nominal isolated subsystems have uniform relative degree and the distribution is involutive, the class of nonlinear interconnected systems considered can be transformed to a convenient regular form representation using a local coordinate transformation and feedback linearization. In comparison with most of the existing control methods for interconnected systems, the nominal isolated subsystems of the interconnected system considered in this paper are fully nonlinear, which extends both the potential practical application value and theoretical significance. The proposed regular form greatly facilitates decentralized control design.…”

Section: Introductionmentioning

confidence: 99%

Decentralized sliding mode control for a class of nonlinear interconnected systems by static state feedback

Feng

Zhao

Yan

et al. 2020

Intl J Robust & Nonlinear

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Summary In this paper, a class of interconnected systems is considered, where the nominal isolated systems are fully nonlinear. A robust decentralized sliding mode control based on static state feedback is developed. By local coordinate transformation and feedback linearization, the interconnected system is transformed to a new regular form. A composite sliding surface which is a function of the system state variables is proposed and the stability of the corresponding sliding mode dynamics is analyzed. A new reachability condition is proposed and a robust decentralized sliding mode control is then designed to drive the system states to the sliding surface in finite time and maintain a sliding motion thereafter. Both uncertainties and interconnections are allowed to be unmatched and are assumed to be bounded by nonlinear functions. The bounds on the uncertainties and interconnections have more general forms when compared with existing work. A MATLAB simulation example is used to demonstrate the effectiveness of the proposed method.

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“…However, these studies did not consider the uncertainty in the i-th subsystem. In order to solve this problem, studies [30,31] have proposed a class of time-delay interconnected systems with uncertainty in the state matrix and in interconnections. A DSMC was synthesized to stabilize a class of time-delay systems with nonlinear interconnections by using the Lyapunov-Razumikhin approach [30].…”

Section: Introductionmentioning

confidence: 99%

“…In order to solve this problem, studies [30,31] have proposed a class of time-delay interconnected systems with uncertainty in the state matrix and in interconnections. A DSMC was synthesized to stabilize a class of time-delay systems with nonlinear interconnections by using the Lyapunov-Razumikhin approach [30]. By using the known-well linear matrix inequality (LMI), a DSMC was investigated to be connectively stable with maximized interconnection bounds for a class of interconnected time-delay systems [31].…”

Section: Introductionmentioning

confidence: 99%

Chattering-Free Single-Phase Robustness Sliding Mode Controller for Mismatched Uncertain Interconnected Systems with Unknown Time-Varying Delays

Nguyen

Duong

et al. 2020

Energies

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Variable structure control with sliding mode can provide good control performance and excellent robustness. Unfortunately, the chattering phenomenon investigated due to discontinuous switching gain restricting their applications. In this paper, a chattering free improved variable structure control (IVSC) for a class of mismatched uncertain interconnected systems with an unknown time-varying delay is proposed. A sliding function is first established to eliminate the reaching phase in traditional variable structure control (TVSC). Next, a new reduced-order sliding mode estimator (ROSME) without time-varying delay is constructed to estimate all unmeasurable state variables of plants. Then, based on the Moore-Penrose inverse approach, a decentralized single-phase robustness sliding mode controller (DSPRSMC) is synthesized, which is independent of time delays. A DSPRSMC solves a complex interconnection problem with an unknown time-varying delay term and drives the system’s trajectories onto a switching surface from the initial time instance. Particularly, by applying the well-known Barbalat’s lemma, the chattering phenomenon in control input is alleviated. Moreover, a sufficient condition is established by using an appropriate Lyapunov theory and linear matrix inequality (LMI) method such that a sliding mode dynamics is asymptotically stable from the beginning time. Finally, a developed method is validated by numerical example with computer simulations.

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Delay-independent decentralised output feedback control for large-scale systems with nonlinear interconnections

Cited by 12 publications

References 24 publications

Robust decentralised load frequency control for interconnected time delay power systems using sliding mode techniques

Robust decentralised load frequency control for interconnected time delay power systems using sliding mode techniques

Decentralized sliding mode control for a class of nonlinear interconnected systems by static state feedback

Chattering-Free Single-Phase Robustness Sliding Mode Controller for Mismatched Uncertain Interconnected Systems with Unknown Time-Varying Delays

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