access icon free Finite-time stabilisation of switched linear input-delay systems via saturating actuators

© The Institution of Engineering and Technology
Received 25/10/2017, Accepted 11/07/2018, Revised 10/04/2018, Published 16/07/2018

In this study, the problem of finite-time feedback stabilisation for switched linear input-delay systems with saturating actuators is addressed by virtue of the comparison-function-like method. Finite-time state feedback stabilisation is discussed and controllers are designed to make the closed-loop systems finite-time stable. Moreover, for the case that the states are unmeasured, observers are constructed to estimate the unavailable states and the observer–controller compensator strategy is proposed. Based on the results proposed in this study, information of transient performance of the controlled switched systems can be obtained and bounds of system trajectory are estimated. An example is employed to illustrate the effectiveness of the proposed approach.

Inspec keywords: actuators; nonlinear control systems; state feedback; stability; control system synthesis; observers; feedback; closed loop systems; time-varying systems; linear systems; delay systems

Other keywords: finite-time state feedback stabilisation; finite-time feedback stabilisation; system trajectory; saturating actuators; comparison-function-like method; observer–controller compensator strategy; controlled switched systems; time stabilisation; closed-loop systems finite-time; switched linear input-delay systems

Subjects: Nonlinear control systems; Control system analysis and synthesis methods; Stability in control theory

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