Implementing nonlinear controllers using observer-form via kernel representations

S. Cha, Arvin Dehghani, B. Anderson
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Abstract

We propose a connection between the state-space realization and ‘observer-like’ property of a nonlinear feedback system, consisting of an linear time-invariant (LTI) plant and a nonlinear controller by utilizing ‘kernel representation’ of dynamical systems. This connection is advanced by noticing that the kernel representation shares many properties with and is indeed a generalization of left fractional representations for nonlinear systems.
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通过内核表示使用观察者形式实现非线性控制器
我们提出了一个非线性反馈系统的状态空间实现和“类观测器”属性之间的联系,该系统由一个线性时不变(LTI)植物和一个利用动态系统的“核表示”的非线性控制器组成。通过注意到核表示与非线性系统的左分数表示有许多相同的性质,并且实际上是左分数表示的推广,这种联系得到了推进。
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