SMC without the reaching phase – the switching plane design for the third-order system

Bartoszewicz, Andrzej; Nowacka-Leverton, Aleksandra

doi:10.1049/iet-cta:20060458

Cited by 49 publications

(21 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Secondly, in the sliding mode, determine the switching surface such that the system dynamics in the sliding mode have good performance. Obviously, all the robust properties of VSC are valid during the sliding regime [6][7][8]. In addition, the state variables of many practical systems are not always accessible or expensive to measure all of them [9].…”

Section: Introductionmentioning

confidence: 99%

Output Single Phase Variable Structure Control for Mismatched Uncertain Systems

Khang

Tsai

2016

IJCA

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Output Single Phase Variable Structure Control for Mismatched Uncertain Systems

Khang

Tsai

2016

IJCA

View full text Add to dashboard Cite

show abstract

“…Firstly, the system stability is not ensured for all time because the motion equation in sliding mode is determined after the system state hits the sliding surface [6,7]. Secondly, the performance of system in the reaching phase is unknown and, subsequently, global performance may be seriously degraded [6,7].…”

Section: Introductionmentioning

confidence: 99%

“…The design of SMC without reaching phase can be found in [1,[7][8][9][10][11][12]. The authors of [1,8] have presented a new method to design an integral sliding mode control law.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Tsai

Huynh

2015

Mathematical Problems in Engineering

View full text Add to dashboard Cite

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.

show abstract

“…In the conventional SMC, the controlled system is not robust to matching uncertainties during the reaching phase. To solve this problem, several design methods [7,[17][18][19][20][21][22] of SMC have been proposed to eliminate the reaching phase or decrease the reaching time. In this article, the stabilization problem of uncertain time-delay chaotic systems with input dead-zone nonlinearity is considered.…”

Section: Introductionmentioning

confidence: 99%

Chaos control of uncertain time‐delay chaotic systems with input dead‐zone nonlinearity

Pai

2014

Complexity

View full text Add to dashboard Cite

This article presents an adaptive sliding mode control (SMC) scheme for the stabilization problem of uncertain time-delay chaotic systems with input dead-zone nonlinearity. The algorithm is based on SMC, adaptive control, and linear matrix inequality technique. Using Lyapunov stability theorem, the proposed control scheme guarantees the stability of overall closed-loop uncertain time-delay chaotic system with input dead-zone nonlinearity. It is shown that the state trajectories converge to zero asymptotically in the presence of input dead-zone nonlinearity, time-delays, nonlinear real-valued functions, parameter uncertainties, and external disturbances simultaneously. The selection of sliding surface and the design of control law are two important issues, which have been addressed. Moreover, the knowledge of upper bound of uncertainties is not required. The reaching phase and chattering phenomenon are eliminated. Simulation results demonstrate the effectiveness and robustness of the proposed scheme.

show abstract

SMC without the reaching phase – the switching plane design for the third-order system

Cited by 49 publications

References 14 publications

Output Single Phase Variable Structure Control for Mismatched Uncertain Systems

Output Single Phase Variable Structure Control for Mismatched Uncertain Systems

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

Chaos control of uncertain time‐delay chaotic systems with input dead‐zone nonlinearity

Contact Info

Product

Resources

About