Reduced‐order functional observers for descriptor linear time‐invariant systems: a parametric method

Abstract

This article introduces the parametric design method of the reduced-order functional observer for descriptor linear time-invariant systems. First, existence conditions of reduced-order functional observers are provided. Then, based on the solution of generalized Sylvester equations, completely parameterized expressions of the coefficients matrices of the reduced-order functional observer are established, and the design algorithm of the reduced-order functional observer is also proposed. The advantage of the proposed design method is that the observation error system can be transformed into a linear system with an expected eigenstructure. Finally, two examples are given to verify the effectiveness of the proposed method.

Parametric design of functional observer for second‐order linear time‐varying systems

“…The device that estimates or observes the state variables is called an observer, which has a wide range of applications in dynamic system moni-toring and adjustment, fault detection and separation, identification, and so on [17][18][19][20]. Therefore, many effective methods for analyzing and designing observers and observer-based control strategies have been investigated (see previous studies [21][22][23][24][25][26][27][28][29][30][31][32]). For example, Fernando et al presented a reduced-order observer for nonlinear systems with state-dependent coefficient decomposition and applied to optimal tracking control of linear induction motor [33].…”

Parametric design of reduced-order functional observers for linear time-varying delay systems

“…More related research can be found in the literature. [13][14][15][16][17][18][19] Time-delay phenomena are frequently encountered in many practical systems. It has a significant effect on system performance and may cause instability, oscillation, and so on.…”

Functional interval observer design for linear time-varying systems with additive disturbances

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