Decentralised sliding mode control for nonlinear interconnected systems in the regular form

Intl J Robust & Nonlinear

et al. 2020

Self Cite

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.

Section: Interconnected System Analysis and Problem Formulationmentioning

confidence: 93%

“…The terms

Ξ_{i 1}^{a} (t, z_{i})

and

Ξ_{i}^{b} (t, z_{i})

represent unmatched uncertainties, while

Ψ_{i 1}^{a} (t, z)

and

Ψ_{i}^{b} (t, z)

Section: Basic Assumptions and Stability Analysis Of The Sliding Modementioning

confidence: 99%

Section: Simulation Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Feng

Zhao

Intl J Robust & Nonlinear

et al. 2020

Self Cite

“…There are few results which apply sliding mode control methods to interconnected systems with nonlinear nominal isolated systems. A decentralised control strategy based on sliding mode techniques is proposed for a class of nonlinear interconnected systems in regular form in [27]. Although this method does not require the nominal isolated subsystems to be linearized or partially linearized, it is assumed that the system is in regular form, which requires transformation of the nonlinear systems; a constructive method to obtain the transformation matrix is not generally available.…”

Section: Introductionmentioning

confidence: 99%

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

Onyeka

IET Control Theory & Applications

Mao

et al. 2020

Self Cite

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.

Sliding Mode Control of Nonlinear Systems With Input Distribution Uncertainties

Mao

IEEE Trans. Automat. Contr.

Zhang

et al. 2023

In this paper, a sliding mode control design method is developed for a class of fully nonlinear systems in generalized regular form, where both input distribution uncertainty and system uncertainties are considered. Based on the generalized regular form, a novel nonlinear sliding surface is designed and uniform ultimate stability of the corresponding sliding mode dynamics is analyzed. Then, under the assumption that the uncertainties are bounded by known nonlinear functions of the system states, a sliding mode controller is formulated to ensure that the dynamical system reaches the sliding surface in finite time even in the presence of the system uncertainties and input distribution uncertainties. Further, for the case of system uncertainty with unknown bound in parameterized form, an adaptive sliding mode controller is developed to drive the dynamical system to the sliding surface and maintain a sliding motion thereafter. The developed sliding mode controller is applied to a High Incidence Research Model (HIRM) aircraft model. Simulation results demonstrate that the developed methods are effective.