This paper investigates the distributed H_(∞)consensus problem for a first-order multiagent system where both cooperative and antagonistic interactions coexist.In the presence of external disturbances,a distributed c...This paper investigates the distributed H_(∞)consensus problem for a first-order multiagent system where both cooperative and antagonistic interactions coexist.In the presence of external disturbances,a distributed control algorithm using local information is addressed and a sufficient condition to get the H_(∞)control gain is obtained,which make the states of the agents in the same group converge to a common point while the inputs of each agent are constrained in the nonconvex sets.Finally,a numerical simulation is exhibited to illustrate the theory.展开更多
This paper deals with H_(∞) control problem for nonlinear conformable fractional order systems. The authors first derive new sufficient condition for exponential stability of nonlinear conformable fractional order sy...This paper deals with H_(∞) control problem for nonlinear conformable fractional order systems. The authors first derive new sufficient condition for exponential stability of nonlinear conformable fractional order systems based on Lyapunov-like function method for conformable fractional order systems and linear matrix inequalities(LMIs) approach. Then, by introducing a new concepts of H_(∞) control problem for nonlinear conformable fractional order systems, the authors study H_(∞) performance analysis and H_(∞) state feedback controller design problems for the considered systems. In terms of LMIs, a sufficient condition is proposed to ensure the nonlinear conformable fractional order systems are not only exponentially stable, but also satisfy H_(∞) performance γ. An explicit expression for state feedback controllers is also designed to make the closed-loop system is exponentially stable with H_∞performance γ. Finally, numerical examples are given to illustrate the validity and effectiveness of the proposed results.展开更多
文摘This paper investigates the distributed H_(∞)consensus problem for a first-order multiagent system where both cooperative and antagonistic interactions coexist.In the presence of external disturbances,a distributed control algorithm using local information is addressed and a sufficient condition to get the H_(∞)control gain is obtained,which make the states of the agents in the same group converge to a common point while the inputs of each agent are constrained in the nonconvex sets.Finally,a numerical simulation is exhibited to illustrate the theory.
基金supported by Ministry of Education and Training of Vietnam(B2020-TNA-13)。
文摘This paper deals with H_(∞) control problem for nonlinear conformable fractional order systems. The authors first derive new sufficient condition for exponential stability of nonlinear conformable fractional order systems based on Lyapunov-like function method for conformable fractional order systems and linear matrix inequalities(LMIs) approach. Then, by introducing a new concepts of H_(∞) control problem for nonlinear conformable fractional order systems, the authors study H_(∞) performance analysis and H_(∞) state feedback controller design problems for the considered systems. In terms of LMIs, a sufficient condition is proposed to ensure the nonlinear conformable fractional order systems are not only exponentially stable, but also satisfy H_(∞) performance γ. An explicit expression for state feedback controllers is also designed to make the closed-loop system is exponentially stable with H_∞performance γ. Finally, numerical examples are given to illustrate the validity and effectiveness of the proposed results.