Iterative Homogeneous Polynomial Lyapunov Functions Approach for Stabilizing Minimum Mode-Dependent Average Dwell Time Switched Systems via Output Feedback
A novel approach is proposed in this paper to design static output feedback controllers for asymptotically stabilizing continuous-time switched linear systems with minimum mode-dependent average dwell time (MMDADT). This approach adopts an iterative algorithm containing the solution of a traversal a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8790741/ |
| _version_ | 1818947680614744064 |
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| author | Shaohang Yu Chengfu Wu Liang Wang Jia-Nan Wu |
| author_facet | Shaohang Yu Chengfu Wu Liang Wang Jia-Nan Wu |
| author_sort | Shaohang Yu |
| collection | DOAJ |
| description | A novel approach is proposed in this paper to design static output feedback controllers for asymptotically stabilizing continuous-time switched linear systems with minimum mode-dependent average dwell time (MMDADT). This approach adopts an iterative algorithm containing the solution of a traversal algorithm function and three optimization functions, the decision variables of which are established by the sum of squares (SOS) of matrix polynomials. The traversal algorithm function takes advantage of a polynomially parameter-bounded condition, allowing us to get the lower-bound of the Homogeneous Polynomial Lyapunov Functions' (HPLFs) derivative. The first optimization function is a non-convex optimization function, which expresses a sufficient condition for stability analysis and computing MMDADT. The second and third optimization functions are both convex optimization functions, which are used to calculate the polynomially mode-dependent output feedback controllers. Two numerical examples are presented in order to show the feasibility of the proposed results. |
| first_indexed | 2024-12-20T08:34:45Z |
| format | Article |
| id | doaj.art-da06e0b5202640b180e85ad719c7a1ad |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-20T08:34:45Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-da06e0b5202640b180e85ad719c7a1ad2022-12-21T19:46:36ZengIEEEIEEE Access2169-35362019-01-01711081211082510.1109/ACCESS.2019.29332798790741Iterative Homogeneous Polynomial Lyapunov Functions Approach for Stabilizing Minimum Mode-Dependent Average Dwell Time Switched Systems via Output FeedbackShaohang Yu0https://orcid.org/0000-0003-0482-6136Chengfu Wu1https://orcid.org/0000-0002-4256-5021Liang Wang2Jia-Nan Wu3School of Automation, Northwestern Polytechnical University, Xi’an, ChinaNational Key Laboratory of Science and Technology on UAV, Northwestern Polytechnical University, Xi’an, ChinaNational Key Laboratory of Science and Technology on UAV, Northwestern Polytechnical University, Xi’an, ChinaNational Key Laboratory of Science and Technology on UAV, Northwestern Polytechnical University, Xi’an, ChinaA novel approach is proposed in this paper to design static output feedback controllers for asymptotically stabilizing continuous-time switched linear systems with minimum mode-dependent average dwell time (MMDADT). This approach adopts an iterative algorithm containing the solution of a traversal algorithm function and three optimization functions, the decision variables of which are established by the sum of squares (SOS) of matrix polynomials. The traversal algorithm function takes advantage of a polynomially parameter-bounded condition, allowing us to get the lower-bound of the Homogeneous Polynomial Lyapunov Functions' (HPLFs) derivative. The first optimization function is a non-convex optimization function, which expresses a sufficient condition for stability analysis and computing MMDADT. The second and third optimization functions are both convex optimization functions, which are used to calculate the polynomially mode-dependent output feedback controllers. Two numerical examples are presented in order to show the feasibility of the proposed results.https://ieeexplore.ieee.org/document/8790741/Time-dependent switched systemsiterative homogeneous polynomial Lyapunov functionssums of squaresminimum mode-dependent average dwell time |
| spellingShingle | Shaohang Yu Chengfu Wu Liang Wang Jia-Nan Wu Iterative Homogeneous Polynomial Lyapunov Functions Approach for Stabilizing Minimum Mode-Dependent Average Dwell Time Switched Systems via Output Feedback IEEE Access Time-dependent switched systems iterative homogeneous polynomial Lyapunov functions sums of squares minimum mode-dependent average dwell time |
| title | Iterative Homogeneous Polynomial Lyapunov Functions Approach for Stabilizing Minimum Mode-Dependent Average Dwell Time Switched Systems via Output Feedback |
| title_full | Iterative Homogeneous Polynomial Lyapunov Functions Approach for Stabilizing Minimum Mode-Dependent Average Dwell Time Switched Systems via Output Feedback |
| title_fullStr | Iterative Homogeneous Polynomial Lyapunov Functions Approach for Stabilizing Minimum Mode-Dependent Average Dwell Time Switched Systems via Output Feedback |
| title_full_unstemmed | Iterative Homogeneous Polynomial Lyapunov Functions Approach for Stabilizing Minimum Mode-Dependent Average Dwell Time Switched Systems via Output Feedback |
| title_short | Iterative Homogeneous Polynomial Lyapunov Functions Approach for Stabilizing Minimum Mode-Dependent Average Dwell Time Switched Systems via Output Feedback |
| title_sort | iterative homogeneous polynomial lyapunov functions approach for stabilizing minimum mode dependent average dwell time switched systems via output feedback |
| topic | Time-dependent switched systems iterative homogeneous polynomial Lyapunov functions sums of squares minimum mode-dependent average dwell time |
| url | https://ieeexplore.ieee.org/document/8790741/ |
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