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Local disturbance decoupling with stability for nonlinear systems. (English) Zbl 0781.93019

Lecture Notes in Control and Information Sciences. 166. Berlin: Springer- Verlag. v, 135 p. (1991).
In the monograph the local disturbance decoupling problem with stability for nonlinear dynamical control systems is considered. Using the differential geometry methods several conditions under which there exists a locally defined static state feedback that decouples the outputs from the disturbances are formulated and proved. Moreover, it is required, that local feedback exponentially stabilizes the equilibrium of the modified system. Generally, the author proposes two methods for solving the decoupling problem, (Chapter 3 and 4, respectively). Disturbance decoupling problem with dynamic feedback is considered in Chapter 6. The relationships between the disturbances decoupling problem and the linearization of a nonlinear dynamical system are explained in Chapter 5. The book contains also many remarks and comments on stability, stabilizability and controllability problems arising in the theory of nonlinear dynamical systems. Illustrative, numerical examples are also presented. The monograph contains some open research problems for nonlinear dynamical systems. The extensive list of references contains 82 positions, mainly from the last ten years.

MSC:

93B27 Geometric methods
93C10 Nonlinear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
93B29 Differential-geometric methods in systems theory (MSC2000)
93B05 Controllability
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