Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation

Lin, Da; Wang, Xingyuan; Yao, Yi

doi:10.1007/s11071-011-0196-y

Cited by 63 publications

(29 citation statements)

References 39 publications

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“…To handle the input saturation of the uncertain MIMO nonlinear system (6), the following auxiliary system is constructed to compensate for the effect of the input saturation with the same order as the MIMO nonlinear system [43]…”

Section: Design Of Tracking Control Based On Tsm Techniquementioning

confidence: 99%

Anti-disturbance control of hypersonic flight vehicles with input saturation using disturbance observer

Chen

Ren

et al. 2015

Sci. China Inf. Sci.

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This paper proposes an anti-disturbance control scheme for the near space vehicle (NSV) based on terminal sliding mode (TSM) technique and disturbance observer method. To tackle the system uncertainty and the time-varying unknown external disturbance of the NSV, a disturbance observer based on TSM technique is designed which can render the disturbance estimate error convergent in finite time. Furthermore, an auxiliary design system is introduced to analyze the input saturation effect. Based on the developed disturbance observer and the auxiliary design system, an anti-disturbance attitude control scheme is developed for the NSV using the TSM technique to speed up the convergence of all signals in closed-loop system. For the closed-loop system, the stability is rigorously proved by using the Lyapunov method and we guarantee the finite time convergence of all closed-loop system signals in the presence of the integrated affection of the system uncertainty, the input saturation, and the unknown external disturbance. Simulation study results are given to show the effectiveness of the developed TSM anti-disturbance attitude control scheme using the disturbance observer and the auxiliary system for the NSV. CitationChen M, Ren B B, Wu Q X, et al. Anti-disturbance control of hypersonic flight vehicles with input saturation using disturbance observer.

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Section: Design Of Tracking Control Based On Tsm Techniquementioning

confidence: 99%

Anti-disturbance control of hypersonic flight vehicles with input saturation using disturbance observer

Chen

Ren

et al. 2015

Sci. China Inf. Sci.

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show abstract

“…The adaptation laws ofη 1 andη 2 can be obtained as follows:η (31) where α 1 > 0 and α 2 > 0 are adaptation gains.η 10 andη 20 are positive initial values ofη 1 andη 2 respectively. Since η 1 and η 2 are constants, it follows thaṫη (33) whereη 1 =η 1 − η 1 andη 2 =η 2 − η 2 .…”

Section: Theorem 2 Consider the Uncertain Time-delay Chaotic System mentioning

confidence: 99%

“…Since chaos control problem was firstly considered by [6], the stabilization of chaotic systems has been paid much attention and various control strategies have been applied to realize chaos control and synchronization such as adaptive control [7][8][9][10][11][12][13][14][15], sliding mode control [2,[16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], fuzzy control [31,32], linear feedback control [33,34], polynomial approach [35] and harmonic approach [36][37][38][39]. In addition, several design methods [40][41][42][43][44][45] for the stabilization of systems with uncertainties have been investigated.…”

Section: Introductionmentioning

confidence: 99%

Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity

Pai

2015

Applied Mathematics and Computation

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“…Fei and Zhou (2012) used robust adaptive fuzzy compensator for controlling of MEMS triaxial gyroscope. Lin et al (2012) proposed fuzzy neural controller for adaptive tracking of unknown chaotic systems. Fazlyab et al (2013) used an interval type-2 fuzzy sliding mode controller to stabilize the z-axis micro gyroscopes.…”

Section: Introductionmentioning

confidence: 99%

Development of a multi-level adaptive fuzzy controller for beyond pull-in stabilization of electrostatically actuated microplates

Radgolchin

Moeenfard

2016

Journal of Vibration and Control

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The objective of this paper is to present a supervised multi-level fuzzy controller to control the deflection of an electrostatically actuated microplate within and beyond its pull-in range. The mode shapes of the microplate are derived using Extended Kantorovich Method (EKM) which are shown to be in great agreement with finite element results. Using open loop simulations, it is shown that the first mode shape is effectively the dominant one. Then by utilizing a single mode approximation along with employing the Lagrange equation, the dynamic behavior of the microplate is described in modal space by an ordinary differential equation. By static and dynamic simulations, dependence of the plate deflection on the applied voltage is identified linguistically. Then based on the linguistic description of the system, a fuzzy controller is designed to stabilize the microplate at desired deflections. To improve the performance specifications of the closedloop system, another fuzzy controller at a higher level is proposed to adjust the parameters of the main controller in real time. To guarantee the stability of the closed-loop system, a non-fuzzy supervisory unit is attached to the control architecture. The simulations results reveal that by using the presented single level and supervised adaptive controllers, the control objective is met effectively with good performance specifications. It is also observed that adding a second level and a supervisory unit to the main controller can reduce the overshoot and the settling time for within and beyond pull-in stabilization of electrostatically actuated microplates in following the step commands. Excellent performance of the system in the presence of the proposed controller is further demonstrated using multiple step and also sinusoidal commands. The qualitative knowledge resulting from this research can be generalized and used for development of efficient controllers for N/MEMS actuators and electrostatically actuated nano/micro positioning systems.

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Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation

Cited by 63 publications

References 39 publications

Anti-disturbance control of hypersonic flight vehicles with input saturation using disturbance observer

Anti-disturbance control of hypersonic flight vehicles with input saturation using disturbance observer

Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity

Development of a multi-level adaptive fuzzy controller for beyond pull-in stabilization of electrostatically actuated microplates

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