Decentralized robust control design for large-scale uncertain systems: The uncertainly is time-varying

A class of large-scale uncertain dynamical systems is considered. The system is composed of N interconnected subsystems which possess uncertainties. Moreover, there are uncertainties in the interconnections. The uncertainly is (possibly fast) time-varying. No statistical information on the uncertainly is imposed. The uncertainty is, however, assumed bounded. Early work along this line requires a matching condition for the uncertainty. The control design here extends the previous result to mismatched uncertainty.

[1]  O. I. Kosmidou,et al.  Robust-controller design for systems with large parameter variations , 1987 .

[2]  W. Schmitendorf Designing stabilizing controllers for uncertain systems using the Riccati equation approach , 1988 .

[3]  Petros A. Ioannou Decentralized adaptive control of interconnected systems , 1986 .

[4]  G. Leitmann,et al.  DETERMINISTIC CONTROL OF UNCERTAIN SYSTEMS1 , 1984 .

[5]  Y. H. Chen,et al.  Decentralized robust control system design for large-scale uncertain systems , 1988 .

[6]  J. Hale,et al.  Ordinary Differential Equations , 2019, Fundamentals of Numerical Mathematics for Physicists and Engineers.

[7]  G. Leitmann,et al.  Robustness of uncertain systems in the absence of matching assumptions , 1987 .

[8]  Umit Ozguner Decentralized and distributed control approaches and algorithms , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[9]  M. Corless,et al.  A new class of stabilizing controllers for uncertain dynamical systems , 1982, 1982 21st IEEE Conference on Decision and Control.

[10]  Amit Ailon,et al.  On polynomial controllability with polynomial state for linear constant systems , 1986 .

[11]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[12]  Y. H. Chen,et al.  Deterministic Control of Large-scale Uncertain Dynamical Systems☆ , 1987 .

[13]  A. Laub,et al.  Generalized eigenproblem algorithms and software for algebraic Riccati equations , 1984, Proceedings of the IEEE.

[14]  A. Zinober Deterministic control of uncertain systems , 1989, Proceedings. ICCON IEEE International Conference on Control and Applications.

[15]  T. K. C. Peng,et al.  Adaptive Guaranteed Cost of Control of Systems with Uncertain Parameters , 1970 .

[16]  Dragoslav D. Šiljak,et al.  Large-Scale Dynamic Systems: Stability and Structure , 1978 .