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  Linear Controller Design: Limits of Performance (1991) [81 citations — 14 self]

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by Stephen Boyd, Stephen Norman
http://www.stanford.edu/~boyd/reports/lcd_cp.pdf
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Abstract:

We give a tutorial presentation of an approach to the analysis and design of linear control systems based on numerical convex optimization over closed-loop maps. Convexity makes numerical solution effective: it is possible to determine whether or not there is a controller that achieves a given set of specifications. Thus, the limit of achievable performance can be computed. Although the basic idea behind this approach can be traced back into the 1950s, two developments since then have made it more attractive and useful. This first is a simple description of. the achievable closed-loop behaviors for systems with multiple sensors and actuators. The second is the development of numerical algorithms for solving convex optimization problems, and power-ful computers to run them.

Citations

742 System Identification: Theory for the User – Ljung - 1987
111 Feedback Control of Dynamic Systems – Franklin, Powell, et al. - 1986
108 Applied optimal control – Bryson, Ho - 1975
90 Linear Optimal Control Systems – Kwakernaak, Sivan - 1972
64 Automatic Control Systems – Kuo - 1991
30 Network Analysis and Feedback Amplifier Design – Bode - 1945
27 Optimal control – Athans, Falb - 1966
14 Synthesis of Feedback Systems – Horowitz - 1963
10 The Origins of Feedback Control – Mayr - 1970
4 Survey of Quantitative Feedback Theory – Horowitz - 1991
2 Modern Control Systems – Doff - 1980
1 Stabilized feedback amplifiers," BellSyst – Black
1 AnalyticalDesign of Linear Feedback Controls – Newton, Gould, et al. - 1957
1 Adesign technique for linear multivariable feedback systems – MacFarlane, Kouvaritakis - 1977
1 Modern Control Engmeering – Ogata - 1970
1 A Complex Variable Approach to the Analysis of Linear Multivariable Eeedback Systems – Postlethwaite, MacFarlane - 1979