New results on finite‐time stability and H∞ control for nonlinear Hamiltonian systems
In this paper, we investigate the finite‐time stability (FTS) and H∞$$ {H}_{\infty } $$ control of nonlinear Hamiltonian systems with time‐varying state delays and output delays subject to input saturation. By introducing a new class of Lyapunov–Krasovskii (L‐K) functionals and the assumption about...
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| Published in | Asian journal of control Vol. 26; no. 3; pp. 1309 - 1322 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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| ISSN | 1561-8625 1934-6093 |
| DOI | 10.1002/asjc.3253 |
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| Abstract | In this paper, we investigate the finite‐time stability (FTS) and
H∞$$ {H}_{\infty } $$ control of nonlinear Hamiltonian systems with time‐varying state delays and output delays subject to input saturation. By introducing a new class of Lyapunov–Krasovskii (L‐K) functionals and the assumption about the Hamiltonian function, we present a delay‐dependent FTS criterion. Then, a finite‐time
H∞$$ {H}_{\infty } $$ feedback control is designed for the nonlinear Hamiltonian systems. Finally, the validity of the proposed results is demonstrated by a numerical example. |
|---|---|
| AbstractList | In this paper, we investigate the finite‐time stability (FTS) and H∞$$ {H}_{\infty } $$ control of nonlinear Hamiltonian systems with time‐varying state delays and output delays subject to input saturation. By introducing a new class of Lyapunov–Krasovskii (L‐K) functionals and the assumption about the Hamiltonian function, we present a delay‐dependent FTS criterion. Then, a finite‐time H∞$$ {H}_{\infty } $$ feedback control is designed for the nonlinear Hamiltonian systems. Finally, the validity of the proposed results is demonstrated by a numerical example. In this paper, we investigate the finite‐time stability (FTS) and H∞$$ {H}_{\infty } $$ control of nonlinear Hamiltonian systems with time‐varying state delays and output delays subject to input saturation. By introducing a new class of Lyapunov–Krasovskii (L‐K) functionals and the assumption about the Hamiltonian function, we present a delay‐dependent FTS criterion. Then, a finite‐time H∞$$ {H}_{\infty } $$ feedback control is designed for the nonlinear Hamiltonian systems. Finally, the validity of the proposed results is demonstrated by a numerical example. In this paper, we investigate the finite‐time stability (FTS) and control of nonlinear Hamiltonian systems with time‐varying state delays and output delays subject to input saturation. By introducing a new class of Lyapunov–Krasovskii (L‐K) functionals and the assumption about the Hamiltonian function, we present a delay‐dependent FTS criterion. Then, a finite‐time feedback control is designed for the nonlinear Hamiltonian systems. Finally, the validity of the proposed results is demonstrated by a numerical example. |
| Author | Liu, Qihuai Chen, Yufei Zhou, Xia |
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| Snippet | In this paper, we investigate the finite‐time stability (FTS) and
H∞$$ {H}_{\infty } $$ control of nonlinear Hamiltonian systems with time‐varying state delays... In this paper, we investigate the finite‐time stability (FTS) and control of nonlinear Hamiltonian systems with time‐varying state delays and output delays... In this paper, we investigate the finite‐time stability (FTS) and H∞$$ {H}_{\infty } $$ control of nonlinear Hamiltonian systems with time‐varying state delays... |
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| SubjectTerms | Control systems Feedback control finite‐time stability H-infinity control Hamiltonian functions input saturation Nonlinear control Nonlinear systems time‐varying delay |
| Title | New results on finite‐time stability and H∞ control for nonlinear Hamiltonian systems |
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