Covariance control for stochastic multivariable systems with hysteresis nonlinearity
By using the describing function approximation method, the covariance control of a
multivariable stochastic system with hysteresis nonlinearities is studied. Since the describing
function for a hysteresis nonlinearity is always a complex form, this complex component in
the system makes the problem more complicated. This paper proposes a condition under
which the designed state feedback gain is guaranteed to be real and the specified state
covariance X of the closed loop system is also achieved.
multivariable stochastic system with hysteresis nonlinearities is studied. Since the describing
function for a hysteresis nonlinearity is always a complex form, this complex component in
the system makes the problem more complicated. This paper proposes a condition under
which the designed state feedback gain is guaranteed to be real and the specified state
covariance X of the closed loop system is also achieved.
Abstract
By using the describing function approximation method, the covariance control of a multivariable stochastic system with hysteresis nonlinearities is studied. Since the describing function for a hysteresis nonlinearity is always a complex form, this complex component in the system makes the problem more complicated. This paper proposes a condition under which the designed state feedback gain is guaranteed to be real and the specified state covariance X of the closed loop system is also achieved.
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