Finite-time control for LPV systems with parameter-varying time delays and exogenous disturbances

In this paper, we deal with the problem of stability and stabilization for linear parameter-varying (LPV) systems with time-varying time delays. The uncertain parameters are assumed to reside in a polytope with bounded variation rates. Being main difference from the existing achievements, the representation of the time derivative of the time-varying parameter is under a polytopic structure. Based on the new representation, delay-dependent sufficient conditions of stability and stabilization are, respectively, formulated in terms of linear matrix inequalities (LMI). Simulation examples are then provided to confirm the effectiveness of the given approach.

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Asynchronous finite-time control for networked switched linear parameter-varying systems via an event-triggered communication scheme

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering ◽

10.1177/0959651818773549 ◽

2018 ◽

Vol 233 (1) ◽

pp. 44-57

Author(s):

Hangli Ren ◽

Guangdeng Zong

Keyword(s):

Finite Time ◽

Sufficient Conditions ◽

Linear Parameter ◽

Input Output ◽

Linear Parameter Varying ◽

Linear Parameter Varying Systems ◽

Time Control ◽

Communication Scheme ◽

Parameter Varying ◽

Event Triggered

This article addresses the finite-time control problem for a class of switched linear parameter-varying systems via an event-triggered communication scheme. Different from the existing finite-time problems, not only the problem of finite-time boundedness but also the problem of input-output finite-time stability is considered in this article. Using an asynchronous switching scheme, sufficient conditions are established to guarantee the event-based closed-loop systems are both finite-time bounded and input-output finite-time stable. Then, a parameter-dependent asynchronous controller is designed by solving a set of linear matrix inequalities. Finally, a numerical example is presented to show the effectiveness of the result.

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Interval observer-based finite-time control for linear parameter-varying systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126478 ◽

2021 ◽

Vol 411 ◽

pp. 126478

Author(s):

Tu Zhang ◽

Liwei Li ◽

Mouquan Shen

Keyword(s):

Finite Time ◽

Linear Parameter ◽

Linear Parameter Varying ◽

Linear Parameter Varying Systems ◽

Time Control ◽

Parameter Varying ◽

Interval Observer

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Nonfragile Robust Finite-TimeL2-L∞Controller Design for a Class of Uncertain Lipschitz Nonlinear Systems with Time-Delays

Abstract and Applied Analysis ◽

10.1155/2013/265473 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Cited By ~ 7

Author(s):

Jun Song ◽

Shuping He

Keyword(s):

Finite Time ◽

Time Delays ◽

Controller Design ◽

Linear Matrix ◽

Nonlinear Parameters ◽

Lipschitz Nonlinear Systems ◽

Exogenous Disturbances ◽

Nonlinear Uncertain Systems ◽

The Given ◽

Lipschitz Conditions

The nonfragile robust finite-timeL2-L∞control problem for a class of nonlinear uncertain systems with uncertainties and time-delays is considered. The nonlinear parameters are considered to satisfy the Lipschitz conditions and the exogenous disturbances are unknown but energy bounded. By using the Lyapunov function approach, the sufficient condition for the existence of nonfragile robust finite-timeL2-L∞controller is given in terms of linear matrix inequalities (LMIs). The finite-time controller is designed such that the resulting closed-loop system is finite-time bounded for all admissible uncertainties and satisfies the givenL2-L∞control index. Simulation results illustrate the validity of the proposed approach.

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