Control of constrained positive discrete systems
Control of constrained positive discrete systems
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DOI：
10.1109/acc.2007.4282448
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发表时间：
2007-07
期刊：
影响因子：
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通讯作者：
M. A. Rami;F. Tadeo;A. Benzaouia
中科院分区：
文献类型：
--
作者：
M. A. Rami;F. Tadeo;A. Benzaouia
研究了输入或状态有界的正离散系统的镇定问题。首先，针对标称系统和不确定系统，研究了保证无约束闭环系统非负性和稳定性的状态反馈控制器的设计问题。这些结果，然后扩展到有界控制的情况下，也为系统上的状态有界。所有提出的条件都可以用线性规划求解。然后提出了一个成本函数，综合控制器具有良好的性能。最后通过实例验证了该方法的可行性。
Stabilization problem of positive discrete-time systems with bounds on the inputs or the states is solved in this paper. First, the synthesis of state-feedback controllers that ensure the nonnegativity and the stability of the unconstrained closed-loop systems is studied for both the nominal and uncertain systems. These results are then extended to the case of bounded controls and also for systems with bounds on the states. All the proposed conditions are solvable in terms of Linear Programming. A cost function is then proposed to synthesis controllers with good performance. An example illustrate the feasibility of the proposed approach.