New results on finite-time guaranteed cost control of uncertain polytopic fractional-order systems with time-varying delays. (English) Zbl 1531.93375
Summary: This article deals with the problem of finite time guaranteed cost control for uncertain polytopic fractional-order systems with time-varying delays. A linear quadratic cost function is considered as a performance measure for the closed-loop system. By using Laplace transform and linear matrix inequalities (LMIs), a guaranteed cost controller design is presented and sufficient conditions for the existence of a finite time guaranteed cost state-feedback control for the system are given in terms of LMIs. Two numerical examples are given to illustrate the effectiveness of the obtained result.
© 2023 John Wiley & Sons Ltd.
© 2023 John Wiley & Sons Ltd.
MSC:
| 93D40 | Finite-time stability |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
| 93C43 | Delay control/observation systems |
Keywords:
finite-time stability; guaranteed cost control; linear matrix inequalities; polytopic fractional-order systems; time-varying delaysReferences:
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