ROBUST OBSERVER SYNTHESIS FOR NONLINEAR LARGE-SCALE SYSTEMS

The observer synthesis of nonlinear large-scale systems is discussed. The nonlinearities satisfy the Lipschitz conditions instead of any matching conditions and exist on the interconnection terms and local system matrices. With the aid of the solution of the Riccati-type equation, the relationship between the nonlinearity bounds and the observer gains is derived. Moreover, the existence condition and seeking algorithm for the solution of the Riccati equation are investigated. An example with simulations is given to illustrate the application of our results.

[1]  F. Thau Observing the state of non-linear dynamic systems† , 1973 .

[2]  M. Corless,et al.  Output feedback stabilization of uncertain dynamical systems , 1984, The 23rd IEEE Conference on Decision and Control.

[3]  D. Luenberger Observing the State of a Linear System , 1964, IEEE Transactions on Military Electronics.

[4]  Bahram Shahian,et al.  Decentralized control using observers , 1986 .

[5]  Tsuyoshi Okada,et al.  Robust control system with observer , 1985 .

[6]  Stanislaw H. Zak,et al.  Combined observer-controller synthesis for uncertain dynamical systems with applications , 1988, IEEE Trans. Syst. Man Cybern..

[7]  B. Anderson,et al.  Linear Optimal Control , 1971 .

[8]  Stanislaw H. Zak,et al.  On the stabilization and observation of nonlinear/uncertain dynamic systems , 1990 .

[9]  P. Khargonekar,et al.  Robust stabilization of linear systems with norm-bounded time-varying uncertainty , 1988 .

[10]  D. Kleinman On an iterative technique for Riccati equation computations , 1968 .

[11]  S. H. Zak,et al.  On the stabilization and observation of nonlinear/uncertain dynamic systems , 1990, IEEE 1989 International Conference on Systems Engineering.

[12]  G. Stein,et al.  Multivariable feedback design: Concepts for a classical/modern synthesis , 1981 .

[13]  Yacov Y. Haimes,et al.  Systems and control encyclopedia : Edited by Madan G. Singh , 1988, Autom..

[14]  D. Siljak,et al.  Decentralized estimation and control with overlapping information sets , 1986 .

[15]  M. Gevers,et al.  Stable adaptive observers for nonlinear time-varying systems , 1987 .

[16]  B. R. Barmish,et al.  The constrained Lyapunov problem and its application to robust output feedback stabilization , 1986 .

[17]  John R. Beaumont,et al.  Large-Scale Systems: Modeling and Control , 1983 .

[18]  A. Wyner,et al.  Analysis and Optimization of Systems , 1988 .

[19]  Chia-Chi Tsui A new algorithm for the design of multifunctional observers , 1985, IEEE Transactions on Automatic Control.

[20]  Malur K. Sundareshan Generation of Multilevel Control and Estimation Schemes for Large-Scale Systems: A Perturbational Approach , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[21]  Malur K. Sundareshan,et al.  On the design of a decentralized observation scheme for large-scale systems , 1984 .

[22]  J. Willems Least squares stationary optimal control and the algebraic Riccati equation , 1971 .

[23]  John C. Doyle,et al.  Guaranteed margins for LQG regulators , 1978 .