In this chapter, the robust variance‐constrained H∞ control problems is concerned for a class of nonlinear systems with possible sensor failures happened in a random way, called randomly occurring sensor failures. The nonlinearities which are described by statistical means could cover several well‐studied nonlinearities, and the occurrence of the nonlinearities under consideration is governed by a Bernoulli distributed variable. The purpose of the addressed problem is to design a output‐feedback controller such that, for certain systems with randomly occurring sensor failures, 1) the closed‐loop systems meets the desired H∞ performance in the finite‐horizon; 2) the state covariance is under an individual upper bound at each time point. Sufficient condition for the existence of the addressed controller is given and a numerical computing algorithm is developed to meet the aforementioned requirements by means of recursive linear matrix inequalities.
Robust Variance‐Constrained H∞ Control with Randomly Occurring Sensor Failures: The Finite‐Horizon Case
2015-03-16
19 pages
Article/Chapter (Book)
Electronic Resource
English