Fall 2003 Syllabus

Academic Integrity

Textbooks

• C.T. Chen, Introduction to Linear System Theory, Holt, Rinehart and Winston, 1970.
• John Doyle, Bruce Francis and Allen Tannenbaum, Feedback Control Theory, MacMillian, 1990
• Torkel Glad and Lennart Ljung, Control Theory, Taylor and Francis, 2000.
• Dennis Bernstein, Matrix Mathematics, Princeton University Press, 2005.

matlab

• m-files
• The Matlab Control Systems Toolbox
• The Matlab Optimization Toolbox

Interactive On-Line Demonstrations of Signals, Systems, and Controls

• Signals, Systems, and Controls Demonstrations, Johns Hopkins University

Course Notes

• Linear Time Invariant Systems
• Optimal Control: the Hamilton Jacobi Bellman equations, and the Linear Quadratic Regulator
• Return Difference Inequality and Stability of LQR systems
• Linear Quadratic Gaussean Control
• Positive Real Control

anonymous notes

• Some useful identities
• Properties of the singular value decomposition
• MIMO transfer functions
• Frequency response properteis of MIMO systems
• Zeros of MIMO transfer functions
• Integral control via bias estimation
• Linear Quadratic Regulator
• Linear Quadratic Tracking Control, part 1
• Linear Quadratic Tracking Control, part 2
• Robust Stability with Multiplicative Plant Uncertainty

References

• IEEE Transactions on Automatic Control
• Bernstein, DS and Haddad, WM, 'Nonlinear Controllers for Positive Real Systems with Arbitrary Input Nonlinearities,' IEEE Transactions on Automatic Control, vol. 39, no. 7, pp. 1513-1517 (1994).
• Haddad, WM, Bernstein, DS and Wang YW, 'Dissipative H-2/H-infty Controller Synthesis,' IEEE Transactions on Automatic Control, vol. 39, no. 4, pp. 827-831 (1994).
• Marquez HJ, Damaren CJ 'Analysis and synthesis of strictly positive real transfer functions,' J. Franklin Institute, vol. 333B, no. 2, pp. 245-256 (1996).
• Weiss, H, Wang, Q, and Speyer, JL, 'System Characterization of Positive Real Conditions,' IEEE Transactions on Automatic Control, vol. 39 no. 3, pp. 540-544 (1994).

© 2000-2003 Henri P. Gavin; Last Updated: August 24, 2003