State Feedback Control for Interval Type-2 Fuzzy Systems With Time-Varying Delay and Unreliable Communication Links

Zhao, Tao; Dian, Songyi

doi:10.1109/tfuzz.2017.2699947

Cited by 88 publications

(29 citation statements)

References 41 publications

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“…Furthermore, the type-2 fuzzy logic system (T2-FLS), proposed by Zadeh in 1975 [15], can handle kinds of uncertainties directly because its MF is itself fuzzy. The interval type-2 fuzzy logic system (IT2-FLS), as the special case of the T2-FLS, is widely used in a variety of control applications because of its effectiveness in anti-interference and simpler calculations [16][17][18][19][20][21][22][23]. More recently the general type-2 fuzzy logic system (GT2-FLS) has been proposed, and entering higher order or type of fuzzy logic is to build better uncertainty models [24].…”

Section: Introductionmentioning

confidence: 99%

Balance Adjustment of Power-Line Inspection Robot Using General Type-2 Fractional Order Fuzzy PID Controller

et al. 2020

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In this study, a general type-2 fractional order fuzzy PID (GT2FO-FPID) controller is proposed to fulfil the balance adjustment of the Power-line Inspection (PLI) robot system. It is a combination of Mamdani general type-2 fuzzy logic controller (GT2-FLC) and fractional PID controller. Since the PLI robot system is an under-actuated system, it’s necessary to get complete information of the system. However, when all state variables are treated as input to the controller, there is a problem with the rule explosion. Because of this, the information fusion method is adopt to solve the problem and simplify the controller design. At the same time, fractional-order integral-differential operators and input-output scaling factors, which are taken as design variables and optimized by genetic algorithm (GA). To assess the performance of proposed controller based on symmetry criterion, we compared it against existing controllers, i.e., interval type-2 fractional order fuzzy PID (IT2FO-FPID), type-1 fractional order fuzzy PID (T1FO-FPID), and conventional fractional order (FOPID) controllers. Furthermore, to show the anti-inference ability of the proposed controller, three common perturbed process are tested. Finally, simulation results show that the GT2FO-FPID controller outperforms other controllers in the presence of external perturbations on the PLI robot system.

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Section: Introductionmentioning

confidence: 99%

Balance Adjustment of Power-Line Inspection Robot Using General Type-2 Fractional Order Fuzzy PID Controller

et al. 2020

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“…Since time delays occur in many dynamic systems, stability analysis of the time delay system [1][2][3][4][5] has become a hot topic in the past few decades. Due to the representation of linear systems with time-varying delays, the delaydependent stability analysis via the LKF method has attracted much attention.…”

Section: Introductionmentioning

confidence: 99%

A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method

Tian

Liu

2020

Complexity

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This paper is concerned with the delay-dependent stability of systems with distributed time-varying delays. The novelty relies on the use of some new inequalities which are less conservative than some existing inequalities. A less conservative stability criterion is obtained by constructing some new augmented Lyapunov–Krasovskii functionals, which are given in terms of linear matrix inequalities. The effectiveness of the presented criterion is demonstrated by two numerical examples.

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“…It can be a source of instability of performance degradation which is needed to be eliminated [12]. Consequently, a lot of studies of time-delay systems have been carried out [13][14][15][16][17][18][19][20]. For discrete-time singular systems with time delay, several important results have been obtained.…”

Section: Introductionmentioning

confidence: 99%

Robust Admissibilization for Discrete‐Time Singular Systems with Time‐Varying Delay

Wang

Han

Chen

2019

Mathematical Problems in Engineering

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The problems of the admissibility and state feedback stabilization for discrete-time singular systems with interval time-varying delay and norm-bounded uncertainty are studied. The system is equivalently transformed into a new comparison form by decomposition. By taking advantage of the Seuret summation inequality, the reciprocally convex inequality, and some relaxation techniques, a delay-dependent criterion that ensures the admissibility of the concerned systems is established. The result on robust stabilization is also obtained by fixing some parameters. It should be pointed out that the results are less dependent on the parameters so that some conservatism is reduced. A numerical example is included to illustrate the effectiveness and improvement of the proposed methods.

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State Feedback Control for Interval Type-2 Fuzzy Systems With Time-Varying Delay and Unreliable Communication Links

Cited by 88 publications

References 41 publications

Balance Adjustment of Power-Line Inspection Robot Using General Type-2 Fractional Order Fuzzy PID Controller

Balance Adjustment of Power-Line Inspection Robot Using General Type-2 Fractional Order Fuzzy PID Controller

A New Stability Criterion for Systems with Distributed Time-Varying Delays via Mixed Inequalities Method

Robust Admissibilization for Discrete‐Time Singular Systems with Time‐Varying Delay

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