In this paper,disturbance attenuation is considered for linear systems with partially modeled disturbance.The disturbance signal is composed of known signals and uncertain parameters that leads to some difficulties fo...In this paper,disturbance attenuation is considered for linear systems with partially modeled disturbance.The disturbance signal is composed of known signals and uncertain parameters that leads to some difficulties for solving the disturbance rejection problem.To overcome this issue,the original system is reformulated as a linear parameter-varying(LPV)system by absorbing the unknown parameters in disturbance.Then an adaptive state-disturbance-feedback controller relying on a dictionary of state-feedback gains and disturbance-feedback gains is designed to estimate the uncertain parameters in the LPV system.Moreover,the presence of multiple variables in the sufficient condition given to reject the external disturbance of the LPV system also brings challenges.To tackle this problem,the quadratic separation technology is applied into the sufficient condition,and the original unsolvable condition can be successfully transferred into a solvable one.Furthermore,by adding the known part of the disturbance signal into the feedback loop,more information of the whole system can be utilized.Meanwhile,the asymptotical stability of the closed-loop system can be achieved and the H_(∞)performance index of the closed-loop system is verified to be smaller.Numerical simulations are given to illustrate the merits of the proposed approach.展开更多
基金supported in part by the National Natural Science Foundation of China under Grant Nos.52371372 and 62350410484the Project of Science and Technology Commission of Shanghai Municipality,China under Grant No.22JC1401400the 111 Project,China under Grant No.D18003。
文摘In this paper,disturbance attenuation is considered for linear systems with partially modeled disturbance.The disturbance signal is composed of known signals and uncertain parameters that leads to some difficulties for solving the disturbance rejection problem.To overcome this issue,the original system is reformulated as a linear parameter-varying(LPV)system by absorbing the unknown parameters in disturbance.Then an adaptive state-disturbance-feedback controller relying on a dictionary of state-feedback gains and disturbance-feedback gains is designed to estimate the uncertain parameters in the LPV system.Moreover,the presence of multiple variables in the sufficient condition given to reject the external disturbance of the LPV system also brings challenges.To tackle this problem,the quadratic separation technology is applied into the sufficient condition,and the original unsolvable condition can be successfully transferred into a solvable one.Furthermore,by adding the known part of the disturbance signal into the feedback loop,more information of the whole system can be utilized.Meanwhile,the asymptotical stability of the closed-loop system can be achieved and the H_(∞)performance index of the closed-loop system is verified to be smaller.Numerical simulations are given to illustrate the merits of the proposed approach.
