时滞广义Markov系统的非脆弱保成本控制
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摘要
在实际控制系统中,计算精度或者参数漂移等因素对控制器产生影响,使控制器本身具有不确定性,破坏了原有设计的控制效果,针对这一问题,对时滞广义Markov系统进行了非脆弱保成本控制的研究。控制器增益具有加法摄动和乘法摄动两种情况,以线性矩阵不等式的形式给出了在两种情况下非脆弱控制器增益的求解方法,实现对时滞广义Markov系统的保成本控制。最后,利用数值例子验证了算法的有效性。
In the actual systems,due to the computation accuracy or parameter drift affecting the controllers,the control effect of the original design would be inevitably destroyed.To deal with this problem,the non-fragile guaranteed cost control of singular Markov jump system with time delays was considered.Under the conditions of perturbation with addition and multiplication properties,the sufficient existence conditions for control gain were expressed by linear matrix inequalities respectively.In the case,the guaranteed cost control of singular Markov jump system with time-delay could be achieved.Finally,the effectiveness of the method was verified by a numerical example.
In the actual systems,due to the computation accuracy or parameter drift affecting the controllers,the control effect of the original design would be inevitably destroyed.To deal with this problem,the non-fragile guaranteed cost control of singular Markov jump system with time delays was considered.Under the conditions of perturbation with addition and multiplication properties,the sufficient existence conditions for control gain were expressed by linear matrix inequalities respectively.In the case,the guaranteed cost control of singular Markov jump system with time-delay could be achieved.Finally,the effectiveness of the method was verified by a numerical example.
引文
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[10]王国良.广义Markov切换系统在有界转移概率下的H!控制[J].石油化工高等学校学报,2011,24(1):1-4.
[11]高明,盛立.连续Markov跳变奇异系统的稳定性分析与镇定[J].系统工程与电子技术,2011,33(1):157-161.
[12]佟绍成,王铁超.一类不确定离散非线性时滞系统保性能控制[J].控制工程,2008,15(1):5-8.
[13]Wang R,Zhao J.Reliable guaranteed cost control for uncertain switched nonlinear systems[J].International Journal ofSystems Science,2009,40(3):205-211.
[14]沃松林,刘锋,邹云.广义大系统非脆弱分散H!控制器设计[J].控制与决策,2012,27(4):487-493.
[15]肖豪,沃松林.广义大系统的非脆弱分散控制[J].江南大学学报:自然科学版,2009,8(2):140-144.
[16]杨维,杨晓芳,刘建昌.模糊非脆弱动态输出反馈H!控制器设计[J].控制理论与应用,2012,29(5):599-608.
[2]Dong H L,Wang Z D,Ho S W C,et al.Robust H!filtering for Markovian jump systems with randomly occurring nonlinearities and sensor saturation:the finite-horizon case[J].IEEE Transactions on Signal Processing,2011,59(7):3048-3057.
[3]Wang G L,Zhang Q L.Robust H!control of Markovian jump systems with uncertain switching probabilities[J].Asian JournalofControl,2012,14(5):1407-1410.
[4]Sun X,Zhang Q L,Yang C Y,et al.Stability analysis and stabilization for discrete-time singular delay systems[J].Journal of Systems Engineering and Electronics,2011,22(3):482-487.
[5]田森平,毛琳琳.带控制时滞广义系统的PID型迭代学习算法[J].控制工程,2012,19(1):65-68.
[6]高在瑞,纪志成.一类切换广义时滞系统的时滞相关稳定性准则[J].控制与决策,2011,26(6):925-928.
[7]Wang X J,Chen Z Q,Wang H J,et al.Criteria on delay-dependent stability for linear descriptor system with delay[J].Control Engineering of China,2011,18(2):198-201.
[8]Liu J C,Zhang J,Zhang H Q,et al.Roubst stability for discrete-time singular Markovian jump system with timevarying delay[J].Control and Decision,2011(5):667-672.
[9]Ding Q,Zhong M Y.Robust fault detection for singular Markovian jump systems[J].System Simulation Technology,2010(1):23-28.
[10]王国良.广义Markov切换系统在有界转移概率下的H!控制[J].石油化工高等学校学报,2011,24(1):1-4.
[11]高明,盛立.连续Markov跳变奇异系统的稳定性分析与镇定[J].系统工程与电子技术,2011,33(1):157-161.
[12]佟绍成,王铁超.一类不确定离散非线性时滞系统保性能控制[J].控制工程,2008,15(1):5-8.
[13]Wang R,Zhao J.Reliable guaranteed cost control for uncertain switched nonlinear systems[J].International Journal ofSystems Science,2009,40(3):205-211.
[14]沃松林,刘锋,邹云.广义大系统非脆弱分散H!控制器设计[J].控制与决策,2012,27(4):487-493.
[15]肖豪,沃松林.广义大系统的非脆弱分散控制[J].江南大学学报:自然科学版,2009,8(2):140-144.
[16]杨维,杨晓芳,刘建昌.模糊非脆弱动态输出反馈H!控制器设计[J].控制理论与应用,2012,29(5):599-608.