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Using suboptimal state feedback controllers in certainty equivalence measurement feedback nonlinear H{sub}∞ control

机译:使用次优状态反馈控制器处于确定性等价测量反馈非线性H {Sub}控件

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This paper announces results along three lines. Firstly, it extends the standard information state recipe for solving nonlinear H{sub}∞ control problems. The extra freedom in our recipe allows us to use storage functions V which are solutions toHJBI inequalities, as opposed to the available storage V{sub}a which solves the HJBI equation. This of course can have great computational advantages, since solving HJBI equations can be much harder than solving HJBI inequalities. As we shall see thedrawback of using V > V{sub}a is a possible loss in performance.Secondly, we consider the measurement feedback control of linear systems with actuator nonlinearities. We observe that in the absence of disturbance bounds that the information state and therefore the optimal state estimator is easy to compute (in realtime). Also we show that the verification of an important condition called certainty equivalence is easy to compute for any smooth V.Thirdly, we introduce disturbance bounds and describe the effect on the information state. A measurement feedback H{sub}∞ controller (2-block) is designed to operate in the presence of bounded disturbances. For actuator nonlinearities, the controller isthe same as the simple one above except for a serious constraint which adds conservatism to the design.
机译:本文宣布沿三行的结果。首先,它扩展了求解非线性H {Sub}控制问题的标准信息状态配方。我们的食谱中的额外自由允许我们使用存储功能v,它是解决方法的解决方案v,而不是解决HJBI方程的可用存储v {sub} a而不是。这当然可以具有很大的计算优势,因为解决HJBI方程可能比求解HJBI不等式更难。正如我们将看到使用v> v {sub} a的返耗是性能的可能损失。首先,我们考虑使用致动器非线性的线性系统的测量反馈控制。我们观察到,在没有干扰的界限中,信息状态,因此最佳状态估计器易于计算(实时)。此外,我们还表明,验证了一个称为确定性等价的重要条件易于计算任何平滑的V.第三,我们引入干扰界限并描述了对信息状态的影响。测量反馈H {Sub}∞控制器(2块)旨在在存在有界干扰的情况下运行。对于执行器非线性,控制器与上述简单的控制器相同,除了对设计增加保守主义的严重约束。

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