Interpretations With noise in the system, the model is of the form =AC+ Bu+ Buw, y= Ca +U And the estimator is of the form =Ai+ Bu+L(y-9,y=Ci e Analysis: in this case: C-I=[AT+ Bu+Buw-[Ac+ Bu+L(y-gI A(-)-L(CI-Ca)+B
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Full-state Feedback Control How do we change the poles of the state-space system? Or, even if we can change the pole locations Where do we put the poles? Linear Quadratic Regulator Symmetric Root Locus How well does this approach work? Copyright [2001 by JOnathan dHow
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State-Space Systems e Ful-state feedback Control How do we change the poles of the state-space system? Or, even if we can change the pole locations Where do we change the pole locations to? How well does this approach work?
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This is a bit strange, because previously our figure of merit when comparing one state-space model to another(page 8-8)was whether they reproduced the same same transfer function Now we have two very different models that result in the same transfer function
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State-Space Systems What are the basic properties of a state-space model, and how do we analyze these? e Time Domain Interpretations System Modes Copyright 2001 by Jonathan How
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Controllability Definition: An LTI system is controllable if, for every a*(t d every T>0, there exists an input function u(t),0
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In going from the state space model i(t)=A.(t)+ Bu(t y(t)= Ca(t)+ Du(t) to the transfer function G(s)=C(sI -A)-B+D need to form the inverse of the matrix(sI- A)-a symbolic inverse- not easy at all For simple cases, we can use the following
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Topic 8 16.31 Feedback Control State-Space Systems What are state-space models? Why should we use them? How are they related to the transfer functions used in classical control design and how do we develop a state- space model?
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16.31 Feedback Control State-Space Systems What are state-space models? Why should we use them? and how do we develop a state-space mode( &ased in classical control design How are they related to the transfer functions What are the basic properties of a state-space model, and how do we analyze these?
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Goal: Design a controller K(s so that the system has some desired characteristics. Typical objectives Stabilize the system( Stabilization) Regulate the system about some design point(Regulation Follow a given class of command signals(Tracking) Reduce the response to disturbances(Disturbance Rejection Typically think of closed-loop control > so we would analyze the
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美国麻省理工大学：《结构力学》（英文版） Unit 12 Torsion of (Thin)Closed Sections南京航空航天大学：《飞机结构设计》课程PPT教学课件（讲稿）第4章 机翼尾翼的结构分析《全球定位系统原理》（英文版）Lecture 2 Coordinate Systems《空中交通运输系统》（英文版）chapter 7 mitmiltry ndco《空气动力学》（双语版）Chapter 4 Incompressible Flow Over Airfoils美国麻省理工大学：《Aerospace Dynamics（航空动力学）》英文版 lecture 6麻省理工学院：《Multidisciplinary System》Lecture 16 31 March上海交通大学：《飞机设计 Aircraft Design》课程教学资源_Project Report_Project Report_2013Group 4 - 中远程宽体客机设计麻省理工学院：《Space Policy Seminar》ninetiesnotes《空气动力学》（双语版）Chapter 3 Fundamentals of Inviscid, incompressible Flow《流体动力学》（英文版）integral kinetic