| 具有时变状态滞后2-D离散系统的稳定与镇定(英文) |
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| 引用本文： | 彭丹. 具有时变状态滞后2-D离散系统的稳定与镇定(英文)[J]. 控制工程, 2012, 19(3): 438-442 |
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| 作者姓名： | 彭丹 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛,066004 |
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| 基金项目： | Supported by National Natural Science Foundation of China(60804030,60974018,NCET-08-0658);Natural Science Foundation of Hebei Province(Z2011153);Higher Science and Technology Research and Development projects of Qinhuangdao(201101A107) |
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| 摘 要： | 针对一类由局部状态空间(LSS)Fornasini-Marchesini(FM)第二模型描述的,具有时变状态滞后的2-D离散系统,其中时变滞后项的上、下界均为正实数,研究了其稳定性和控制综合问题。首先,利用Lyapunov-Krasovski泛函方法,提出了系统的稳定性准则。再根据这一准则,分别设计状态反馈和动态输出反馈控制器保证系统的稳定性。状态反馈控制律和输出反馈矩阵可由线性矩阵不等式(LMI)求得。最后,通过数值算例说明所得结果的有效性。
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| 关 键 词： | 2-D时变系统 渐近稳定 状态反馈 输出反馈 线性矩阵不等式(LMI) |
Stability and Stabilization of 2-D Discrete Systems with Time-varying State Delays |
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| PENG Dan. Stability and Stabilization of 2-D Discrete Systems with Time-varying State Delays[J]. Control Engineering of China, 2012, 19(3): 438-442 |
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| Authors: | PENG Dan |
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| Affiliation: | PENG Dan(College of Science,Yanshan University,Qinhuangdao 066004,China) |
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| Abstract: | The stability and stabilization problems for a class of two-dimensional(2-D)discrete systems with time-varying state delays are addressed.The 2-D systems are described by a local state-space(LSS)Fornasini-Marchesini(FM)second model,where the time-varying state delays are assumed to vary in an interval with known positive real upper and lower bounds.By using the well-known Lyapunov-Krasovski functional approach,a stability criterion is established.Then,a state feedback controller and a dynamic output feedback controller are designed to assure the stability of 2-D time-varying systems,respectively.The state feedback gain and output feedback matrices can be obtained by solving linear matrix inequalities(LMIs).Finally,numerical examples are given to demonstrate the effectiveness of our results. |
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| Keywords: | 2-D time-varying systems asymptotically stable state feedback output feedback linear matrix inequality (LMI) |
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