Finite‐time bounded stabilisation for linear systems with finite‐time
            <i>H</i>
            <sub>2</sub>
            ‐gain constraint

Zhang, Shuai; Guo, Yang; Wang, Shicheng; Liu, Zhiguo; Hu, Xiaoxiang

doi:10.1049/iet-cta.2019.0754

Cited by 9 publications

(2 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The continuity of the switching function of ( 7) is guaranteed and it owns the ability to adjust the transient response performance. Lemma 3: For the coordinate transformation (8)(9)(10)(11), the inverse coordinate transformation s = P −1 w can be described as follows,…”

Section: A Coordinate Transformation and Inverse Coordinate Transformentioning

confidence: 99%

“…Remark 6: According to the block decomposition technique in Lemma 1 and Lemma 2, the original system (1) is transformed into the system (6), which owns the structure of different dimensions of subsystems. The coordinate transformation proposed in (8)(9)(10)(11) is utilized to obtain the transformed system ( 12) from (6). With the transformed system (12), if the state w i , i = 1, • • • , k − 1 is bounded, then the state w i−1 can be bounded in prescribed time T .…”

Section: A Coordinate Transformation and Inverse Coordinate Transformentioning

confidence: 99%

See 1 more Smart Citation

Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Yang

Zhang

et al. 2021

IEEE Access

View full text Add to dashboard Cite

This paper studies the prescribed finite time stabilization control problem of multi-input linear control systems subject to uncertainties and state constraints. Different from finite-time and fixedtime control methods, a novel switching nonsingular coordinate transformation function based on the block decomposition technique is developed, resulting in a solution that the control action is continuous and bounded based on the transformed system. Moreover, the boundedness of closed-loop system states is ensured with prescribed finite time performance. Furthermore, we incorporate the barrier Lyapunov function into the stabilization control design to restrain the amplitudes of system states. Numerical examples are provided to verify the effectiveness of the proposed prescribed finite time control strategy.

show abstract

Section: A Coordinate Transformation and Inverse Coordinate Transformentioning

confidence: 99%

Section: A Coordinate Transformation and Inverse Coordinate Transformentioning

confidence: 99%

Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Yang

Zhang

et al. 2021

IEEE Access

View full text Add to dashboard Cite

show abstract

Reachable Set Estimation for Itô Stochastic Semi-Markovian Jump Systems Against Multiple Time Delays

Sun

Dai

et al. 2022

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

Finite-time H∞ Control for Uncertain System With Time-varying Delay and Exogenous Disturbance

Dong

2023

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

Finite‐time bounded stabilisation for linear systems with finite‐time H ₂ ‐gain constraint

Cited by 9 publications

References 40 publications

Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Reachable Set Estimation for Itô Stochastic Semi-Markovian Jump Systems Against Multiple Time Delays

Finite-time H∞ Control for Uncertain System With Time-varying Delay and Exogenous Disturbance

Contact Info

Product

Resources

About

Finite‐time bounded stabilisation for linear systems with finite‐time H 2 ‐gain constraint

Cited by 9 publications

References 40 publications

Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Reachable Set Estimation for Itô Stochastic Semi-Markovian Jump Systems Against Multiple Time Delays

Finite-time H∞ Control for Uncertain System With Time-varying Delay and Exogenous Disturbance

Contact Info

Product

Resources

About

Finite‐time bounded stabilisation for linear systems with finite‐time H ₂ ‐gain constraint