Linear Quadratic Gaussian (LQG) regulators

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SUMMARY

Linear Quadratic Gaussian (LQG) regulators are advanced control strategies that combine state estimation and optimal control to minimize a quadratic cost function. The discussion highlights the importance of understanding both Linear Quadratic Regulator (LQR) principles and the role of Gaussian noise in system dynamics. Key resources mentioned include the standard textbook by Troutman and an upcoming textbook by John Burns, which are recommended for deeper insights into LQG theory and application.

PREREQUISITES
  • Understanding of Linear Quadratic Regulators (LQR)
  • Familiarity with control theory concepts
  • Knowledge of state estimation techniques
  • Basic proficiency in MATLAB for simulation purposes
NEXT STEPS
  • Study the Linear Quadratic Regulator (LQR) design and its mathematical foundations
  • Explore state estimation methods, particularly Kalman filtering
  • Read the textbook "Optimal Control Theory" by Troutman for comprehensive coverage of LQG
  • Investigate John Burns' upcoming textbook for contemporary applications of LQG
USEFUL FOR

Graduate students in control systems, researchers in optimal control theory, and engineers seeking to implement LQG regulators in practical applications.

Dustinsfl
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How do LQG regulators work?

I have read the Matlab page about them, Wikipedia, and a few schools notes on them but it isn't either clear to me or they are not adequately explaining how they work. All see is that we want to control something giving a quadratic cost.

Is there are more robust way to explain this (greater depth or detail for a better understanding besides control and quadratic cost)?
 
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I can't say I know about LQR's as much as I should, but I do know that my graduate school was pretty big on them, and the standard book we used was Troutman. There's a discussion of it in there. I also notice that John Burns, a prof at VT known for this stuff, has a textbook which they're using for next year. Perhaps your school's library has these books. I should think the Burns book would be excellent. I always heard good things about Burns as a prof.
 

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