This paper revisits the problem of bumpless transfer control(BTC) for discrete-time nondeterministic switched linear systems. The general case of asynchronous switching is considered for the first time in the field of...This paper revisits the problem of bumpless transfer control(BTC) for discrete-time nondeterministic switched linear systems. The general case of asynchronous switching is considered for the first time in the field of BTC for switched systems. A new approach called interpolated bumpless transfer control(IBTC) is proposed, where the bumpless transfer controllers are formulated with the combination of the two adjacent modedependent controller gains, and are interpolated for finite steps once the switching is detected. In contrast with the existing approaches, IBTC does not necessarily run through the full interval of subsystems, as well as possesses the time-varying controller gains(with more flexibility and less conservatism) achieved from a control synthesis allowing for the stability and other performance of the whole switched system. Sufficient conditions ensuring stability and H_(∞) performance of the underlying system by IBTC are developed, and numerical examples verify the theoretical findings.展开更多
This paper addresses the bumpless transfer proportional-integral-derivative(PID)control for discrete-time switched systems with average dwell time(ADT).First,a bumpless transfer performance is proposed to reduce the c...This paper addresses the bumpless transfer proportional-integral-derivative(PID)control for discrete-time switched systems with average dwell time(ADT).First,a bumpless transfer performance is proposed to reduce the control bumps caused by switching of the systems.Then,a PID controller is constructed to achieve the positivity and stability under synchronous switching.Under the PID control,the system is transformed into a time-delayed system.Sufficient conditions are derived to preserve the positivity,stability,and bumpless transfer performance.Moreover,a PID controller is proposed under the asynchronous switching case.All gain matrices of the PID controller are described via a matrix decomposition approach.Using the copositive Lyapunov function and linear programming,the positivity,stability,and bumpless transfer performance of the system are achieved under synchronous and asynchronous switching cases,respectively.Finally,two examples are provided to illustrate the effectiveness of the proposed approaches.展开更多
基金partially supported by the National Natural Science Foundation of China (62225305,12072088)the Fundamental Research Funds for the Central Universities,China (HIT.BRET.2022004,HIT.OCEF.2022047,JCKY2022603C016)China Scholarship Council (202306120113)。
文摘This paper revisits the problem of bumpless transfer control(BTC) for discrete-time nondeterministic switched linear systems. The general case of asynchronous switching is considered for the first time in the field of BTC for switched systems. A new approach called interpolated bumpless transfer control(IBTC) is proposed, where the bumpless transfer controllers are formulated with the combination of the two adjacent modedependent controller gains, and are interpolated for finite steps once the switching is detected. In contrast with the existing approaches, IBTC does not necessarily run through the full interval of subsystems, as well as possesses the time-varying controller gains(with more flexibility and less conservatism) achieved from a control synthesis allowing for the stability and other performance of the whole switched system. Sufficient conditions ensuring stability and H_(∞) performance of the underlying system by IBTC are developed, and numerical examples verify the theoretical findings.
基金supported by the National Natural Science Foundation of China[grant number 62073111]Hainan Provincial Natural Science Foundation of China[grant number 623MS022]+1 种基金Natural Science Foundation of Hainan Province[grant number 621QN212]Science Research Funding of Hainan University[grant numbers KYQD(ZR)22180 and KYQD(ZR)22063].
文摘This paper addresses the bumpless transfer proportional-integral-derivative(PID)control for discrete-time switched systems with average dwell time(ADT).First,a bumpless transfer performance is proposed to reduce the control bumps caused by switching of the systems.Then,a PID controller is constructed to achieve the positivity and stability under synchronous switching.Under the PID control,the system is transformed into a time-delayed system.Sufficient conditions are derived to preserve the positivity,stability,and bumpless transfer performance.Moreover,a PID controller is proposed under the asynchronous switching case.All gain matrices of the PID controller are described via a matrix decomposition approach.Using the copositive Lyapunov function and linear programming,the positivity,stability,and bumpless transfer performance of the system are achieved under synchronous and asynchronous switching cases,respectively.Finally,two examples are provided to illustrate the effectiveness of the proposed approaches.
