The Standard Decomposed System and Noninteracting Feedback Control of Nonlinear Systems
Copyright policy )The Standard Decomposed System and Noninteracting Feedback Control of Nonlinear Systems
Conditions for achieving noninteraction in nonlinear multivariable systems via the decomposition of state space are well established. The main contribution of this paper is to fully characterize the class of decomposing control laws. The characterization corresponds to a family of simple control laws which are applied to a standard decomposed system (SDS). The SDS is similar to the decomposed system of \textit{A. Isidori}, \textit{A. J. Krener}, \textit{C. Gori-Giorgi} and \textit{S. Monaco} [IEEE Trans. Autom. Control AC-26, 331-345 (1981; Zbl 0481.93037)] but has a finer structure. The finer structure parallels the one used by \textit{E. G. Gilbert} [SIAM J. Control 7, 50-63 (1969; Zbl 0175.103)] for linear systems. A weaker form of noninteraction, based on input-output behavior, is decoupling. Some connections between decomposition and decoupling are also established. An example illustrating the importance of the results is given.
noninteraction, decoupling, decomposition, Canonical structure, Realizations from input-output data, Nonlinear systems in control theory, Multivariable systems, multidimensional control systems, Control/observation systems governed by ordinary differential equations, nonlinear multivariable systems
noninteraction, decoupling, decomposition, Canonical structure, Realizations from input-output data, Nonlinear systems in control theory, Multivariable systems, multidimensional control systems, Control/observation systems governed by ordinary differential equations, nonlinear multivariable systems
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