Robust finite‐time stabilization of a class of high‐order stochastic nonlinear systems subject to output constraint and disturbances
Summary In this paper, the robust stabilization problem is addressed for a class of high‐order stochastic nonlinear systems with output constraints and disturbances by using finite‐time control technique. One of the features of the considered stochastic systems is that the fractional powers are allo...
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| Published in | International journal of robust and nonlinear control Vol. 29; no. 16; pp. 5550 - 5573 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Bognor Regis
Wiley Subscription Services, Inc
10.11.2019
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| Subjects | |
| Online Access | Get full text |
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| Abstract | Summary
In this paper, the robust stabilization problem is addressed for a class of high‐order stochastic nonlinear systems with output constraints and disturbances by using finite‐time control technique. One of the features of the considered stochastic systems is that the fractional powers are allowed to be any positive odd rational numbers, rather than grater than or equal to one. By constructing a novel tan‐type barrier Lyapunov function and using the adding a power integrator technique, the explicit steps on how to construct a backstepping‐like finite‐time controller have been developed to handle the robust stabilization and output constraint. Rigorous mathematical proof shows that the system states will finite‐time converge to a small region of the origin and the output constraint can be kept. Finally, a simulation example is given to illustrate the effectiveness of the proposed approach. |
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| AbstractList | Summary
In this paper, the robust stabilization problem is addressed for a class of high‐order stochastic nonlinear systems with output constraints and disturbances by using finite‐time control technique. One of the features of the considered stochastic systems is that the fractional powers are allowed to be any positive odd rational numbers, rather than grater than or equal to one. By constructing a novel tan‐type barrier Lyapunov function and using the adding a power integrator technique, the explicit steps on how to construct a backstepping‐like finite‐time controller have been developed to handle the robust stabilization and output constraint. Rigorous mathematical proof shows that the system states will finite‐time converge to a small region of the origin and the output constraint can be kept. Finally, a simulation example is given to illustrate the effectiveness of the proposed approach. In this paper, the robust stabilization problem is addressed for a class of high‐order stochastic nonlinear systems with output constraints and disturbances by using finite‐time control technique. One of the features of the considered stochastic systems is that the fractional powers are allowed to be any positive odd rational numbers, rather than grater than or equal to one. By constructing a novel tan‐type barrier Lyapunov function and using the adding a power integrator technique, the explicit steps on how to construct a backstepping‐like finite‐time controller have been developed to handle the robust stabilization and output constraint. Rigorous mathematical proof shows that the system states will finite‐time converge to a small region of the origin and the output constraint can be kept. Finally, a simulation example is given to illustrate the effectiveness of the proposed approach. |
| Author | Ding, Shihong Zhao, Dean Fang, Liandi Ma, Li |
| Author_xml | – sequence: 1 givenname: Liandi surname: Fang fullname: Fang, Liandi organization: Tongling University – sequence: 2 givenname: Li surname: Ma fullname: Ma, Li organization: Jiangsu University – sequence: 3 givenname: Shihong orcidid: 0000-0003-2297-7050 surname: Ding fullname: Ding, Shihong email: dsh@mail.ujs.edu.cn organization: Linyi University – sequence: 4 givenname: Dean surname: Zhao fullname: Zhao, Dean organization: Jiangsu University |
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In this paper, the robust stabilization problem is addressed for a class of high‐order stochastic nonlinear systems with output constraints and... In this paper, the robust stabilization problem is addressed for a class of high‐order stochastic nonlinear systems with output constraints and disturbances by... |
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| SubjectTerms | adding a power integrator Computer simulation Constraints Disturbances finite‐time control Liapunov functions Nonlinear systems output constraints Robust stabilization Robustness (mathematics) stochastic nonlinear systems Stochastic systems tan‐type barrier Lyapunov function |
| Title | Robust finite‐time stabilization of a class of high‐order stochastic nonlinear systems subject to output constraint and disturbances |
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