Browsing by Author "Xu, Sendren Sheng-Dong"

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On Existence of Stabilizing Switching Laws within a Class of Unstable Linear Systems
(2013)
Xu, Sendren Sheng-Dong
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Chen, Chih-Chiang
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電控工程研究所
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Institute of Electrical and Control Engineering
The equivalence of two conditions, condition (3) and condition (4) stated in Problem Statement section, regarding the existence of stabilizing switching laws between two unstable linear systems first appeared in (Feron 1996). Although Feron never published this result, it has been referenced in almost every survey on switched systems; see, for example, (Liberzon and Morse 1999). This paper proposes another way to prove the equivalence of two conditions regarding the existence of stabilizing switching laws between two unstable linear systems. One is effective for theoretical derivation, while the other is implementable, and a class of stabilizing switching laws have been explicitly constructed by Wicks et al. (1994). With the help of the equivalent relation, a condition for the existence of controllers and stabilizing switching laws between two unstabilizable linear control systems is then proposed. Then, the study is further extended to the issue concerning the construction of quadratically stabilizing switching laws among.. unstable linear systems and.. unstabilizable linear control systems. The obtained results are employed to study the existence of control laws and quadratically stabilizing switching laws within a class of unstabilizable linear control systems. The numerical examples are illustrated and simulated to show the feasibility and effectiveness of the proposed methods.
Sliding Mode Control for a Class of Nonlinear Systems with a Quadratic Input Form
(2013-04-01)
Xu, Sendren Sheng-Dong
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Liang, Yew-Wen
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電機資訊學士班
;
電控工程研究所
;
Undergraduate Honors Program of Electrical Engineering and Computer Science
This paper discussed the Sliding Mode Control (SMC) for a class of nonlinear systems with the quadratic input form and its simulation for a power system model, in which the tap changer is assumed to be the only available control input. Although the considered model is not an affine system, it is shown that the regulation performances can be achieved under certain conditions. Simulation results are given to demonstrate the benefits of the proposed control design.
Study of Nonlinear Integral Sliding Mode Fault-Tolerant Control
(2016-04)
Chen, Chih-Chiang
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Xu, Sendren Sheng-Dong
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Liang, Yew-Wen
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電控工程研究所
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Institute of Electrical and Control Engineering
This paper studies an active fault-tolerant control (FTC) design based on an integral sliding mode control (ISMC) strategy for a class of uncertain nonlinear systems. It is shown that under the proposed scheme, the closed-loop system can tolerate certain allowable actuator faults whenever fault detection and diagnosis information is available, and the scheme also retains the main advantages of the ISMC technique. These advantages include robustness, rapid response, and ease of implementation. Moreover, the state response of the resulting closed-loop system under normal operation and different fault conditions is predictable from the response of a preselected fault-free certain system, which can be determined by the designer. Consequently, the engineer has the flexibility in selecting an (optimal) control law for the preselected system according to the system requirements. The analytical results obtained are also applied to the attitude control of a spacecraft. The simulation results clearly demonstrate the benefits of the proposed scheme.
Study of Nonsingular Fast Terminal Sliding-Mode Fault-Tolerant Control
(2015-06-01)
Xu, Sendren Sheng-Dong
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Chen, Chih-Chiang
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Wu, Zheng-Lun
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電控工程研究所
;
Institute of Electrical and Control Engineering
This paper studies fault-tolerant control (FTC) designs based on nonsingular terminal sliding-mode control and nonsingular fast terminal sliding-mode control (NFTSMC). The proposed active FTC laws are shown to be able to achieve fault-tolerant objectives and maintain stabilization performance even when some of the actuators fail to operate. In comparison to existing sliding-mode control (SMC) fault-tolerant designs, the proposed schemes not only can retain the advantages of traditional SMC, including fast response, easy implementation, and robustness to disturbances/uncertainties, but also make the system states reach the control objective point in a finite amount of time. Moreover, they also resolve the potential singularity phenomena in traditional terminal and faster terminal SMC designs; meanwhile, the proposed NFTSMC fault-tolerant scheme also possesses the benefit of faster state convergence speed of NFTSMC. Finally, the proposed analytical results are also applied to the attitude control of a spacecraft. Simulation results demonstrate the benefits of the proposed schemes.
Study of Reliable Design Using T-S Fuzzy Modeling and Integral Sliding Mode Control Schemes
(2013-06-01)
Liang, Yew-Wen
;
Chen, Chih-Chiang
;
Xu, Sendren Sheng-Dong
;
電控工程研究所
;
Institute of Electrical and Control Engineering
This paper investigates robust active reliable control issues using a combination of Takagi-Sugeno (T-S) fuzzy system modeling and Integral Sliding Mode Control (ISMC) schemes. The presented reliable scheme is shown to retain the benefits of both T-S modeling and ISMC design. It not only alleviates the online computational burden due to the use of the T-S model but also preserves the many advantages of the ISMC scheme. Using the presented reliable scheme, the control mission can be successfully achieved without prompt external support even when some of the actuators fail to operate. Moreover, because the ISMC design allows the engineer to predict the performance of the uncertain system from that of the nominal control system, the presented reliable scheme also possesses a degree of freedom in the design of the nominal controller for better system performance of normally operated and different faulty, uncertain situations. An illustrative example is also given to demonstrate the benefits of the proposed scheme.
Study on a Combined Scheme by Using T-S Fuzzy and TSMC Approaches
(2013)
Xu, Sendren Sheng-Dong
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Liang, Yew-Wen
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Wang, Kuo-Chin
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Chen, Chih-Chiang
;
Cheng, Yi-Hsiang
This study investigates the hybrid design by using the Takagi-Sugeno (T-S) fuzzy system modeling method and the Terminal Sliding Mode Control (TSMC) technique. The combined scheme is shown to have the merits of both approaches. The presented scheme can alleviate the on-line computational burden because T-S fuzzy model can approximate the original nonlinear system and some of the parameters can be off-line computed. Moreover, it can also preserve the advantages of TSMC, including rapid response, robustness to uncertainties and/or external disturbance, and guaranteeing the fast finite-time state convergence. The proposed method is applied to a two-link robot manipulator dynamics, and it is also compared to the combination of T-S fuzzy system and conventional Sliding Mode Control (SMC) design. Simulation results demonstrate the benefits of the proposed scheme.