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access icon free Finite-time stability and stabilisation of distributed parameter systems

© The Institution of Engineering and Technology
Received 16/08/2016, Accepted 16/11/2016, Revised 14/10/2016, Published 06/12/2016

This study addresses the problems of finite-time (FT) stability and stabilisation for distributed parameter systems. First, the authors extend the concepts of FT stability and FT stabilisation to the distributed parameter systems. Then, sufficient conditions of the L 2-FT stability and W 1,2-FT stability for the distributed parameter systems are established in terms of linear matrix inequalities. Based on these sufficient conditions, the authors design the state feedback controllers which guarantee the closed-loop distributed parameter systems to be L 2-FT stable and W 1,2-FT stable, respectively. Finally, numerical examples are given to illustrate the proposed results.

Inspec keywords: state feedback; distributed parameter systems; linear matrix inequalities; control system synthesis; closed loop systems; stability

Other keywords: stabilisation; W1,2-FT stability; linear matrix inequalities; closed-loop systems; distributed parameter systems; state feedback controller design; LMI; L2-FT stability; finite-time stability

Subjects: Control system analysis and synthesis methods; Stability in control theory; Distributed parameter control systems; Linear algebra (numerical analysis)

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