This paper is concerned with the variance-constrained controller design problem for a class of uncertain nonlinear stochastic systems with possible actuator faults. The stochastic nonlinearities described by statistical means are quite general that include several well-studied classes of nonlinearities as special cases. A model of actuator failures is adopted, which is more practical than the traditional outage one. A linear matrix inequality (LMI) approach is proposed to solve the multiobjective fault-tolerant controller design problem, where both the exponential stability and the steady-state state variance indices are simultaneously guaranteed. Within the developed LMI framework, a sufficient condition for the solvability of the robust control problem is obtained. The explicit expression of the desired controllers is also parameterized and a single degree-of-freedom model is used to demonstrate the effectiveness and applicability of the proposed design approach.
Robust Fault-Tolerant Control for a Class of Nonlinear Stochastic Systems With Variance Constraints
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Ma, L., Wang, Z., Bo, Y., and Guo, Z. (June 15, 2010). "Robust Fault-Tolerant Control for a Class of Nonlinear Stochastic Systems With Variance Constraints." ASME. J. Dyn. Sys., Meas., Control. July 2010; 132(4): 044501. https://doi.org/10.1115/1.4001276
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