An algebraic theory for design of controllers for linear multivariable systems--Part I: Structure matrices and feedforward design
An algebraic theory for design of controllers for linear multivariable systems--Part I: Structure matrices and feedforward design
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线性多变量系统控制器设计的代数理论第一部分：结构矩阵和前馈设计
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发表时间：
1981
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通讯作者：
L. Pernebo
中科院分区：
文献类型：
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作者：
L. Pernebo
在这篇由两部分组成的论文中，提出了一个可以解决几个控制问题的理论。该理论适用于一般类型的线性多变量系统，其中测量的输出不必等于受控输出或状态。系统可能会受到不可测量的干扰的影响。仅允许稳定系统并具有适当传递函数的控制器，即控制器必须是物理上可实现的。结果表明，“伺服类型”控制问题的解决方案，例如模型匹配、解耦和可逆性问题，是更一般问题解决方案的特例。类似地，“调节器类型”问题的解决方案，例如干扰去耦、输出调节和极点放置，也是更普遍问题的解决方案的特殊情况。结果表明，“伺服型”和“调节器型”问题可以相互独立地解决。在第一部分中，引入了广义多项式作为数学框架。定义了描述系统控制程度的结构矩阵。最后解决了“伺服型”的问题。第二部分主要讨论“调节器类型”的问题。
In this two part paper a theory is presented in which several control problems can be solved. The theory is applicable to a general class of linear multivariable systems where the measured output does not have to be equal to the controlled output or the state. The system may be affected by nonmeasurable disturbances. Only controllers which stabilize the system and have proper transfer functions are allowed, i.e., the controllers have to be physically realizable. It is shown that the solutions to control problems of "servo type," e.g., problems of model matching, decoupling, and invertibility, are special cases of the solution to a more general problem. Analogously, the solutions to problems of "regulator type," e.g., disturbance decoupling, output regulation, and pole placement, are also speclal cases of the solution to a more general problem. It is shown that problems of "servo type" and "regulator type" can be solved independently of each other. In Part I generalized polynomials are introduced as a mathematical framework. Structue matrices, which describe how well a system can be controlled, are defined. Finally, problems of "servo type" are solved. Part II mainly deals with problems of "regulator type."