A Game Theory Polynomial Solution to the H∞ Control Problem
A new solution is given to the H∞ multivariable control synthesis problem. The system is represented in polynomial matrix form and the derivation follows a game theory approach. This provides physical intuition regarding the form of the solution obtained. Moreover, the polynomial equations can be solved by a straightforward numerical algorithm even in the multivariable case. The links to LQG optimal control are also apparent by comparison with the LQG polynomial equations.
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- Fragopoulos D. (1994) H∞ Synthesis theory using polynomial system representations , submitted for the degree of Ph.D., University of Strathclyde, Scotland, August.Google Scholar
- Grimble, M. J. (1994). Robust Industrial Control: Optimal Design Approach for Polynomial Systems, Prentice Hall.Google Scholar
- Grimble, M. J. and M. A. Johnson (1988). Optimal Control and Stochastic Estimation: Theory and, Applications, John Wiley & Sons, Chichester, UK.Google Scholar
- Kučera, V. (1979). Discrete Linear Control: The Polynomial Equation Approach, Wiley.Google Scholar
- Kwakernaak, H. (1990). ’The Polynomial Approach to H∞–Optimal Regulation’, to appear Lecture notes 1990 CIME Course on Recent Developments in H∞ Control Theory, Springer Verlag.Google Scholar
- Kwakernaak, H. (1994). ’Frequency domain solution of the standard H∞ problem’, IFAC Symposium on Robust Design, Rio de Janeiro (to appear).Google Scholar
- Meinsma, G. (1993). Frequency Domain Methods in H∞ Control, PhD Thesis, University of Twente, The Netherlands.Google Scholar
- Yaesh, I. (1992) Linear Optimal Control and Estimation in the Minimum H∝ – Norm Sense, PhD Thesis, Tel Aviv University, Israel.Google Scholar
- Young, N. (1988). An Introduction to Hilbert spaces, Cambridge University Press.Google Scholar