Discrete Time Adaptive Control of Linear Dynamic Systems with a Two-Segment Piecewise-Linear Asymmetric Nonlinearity

Adaptive control for Hammerstein systems with dead-zone nonlinearity and bounded noise

“…In [10][11], the authors derive identification algorithms for deterministic H models with discontinuous nonlinearities and design dead-zone compensated control law for the estimated systems. In [12][13], adaptive controllers are proposed for systems with two-segment piecewise-linear nonlinearity and preload nonlinearity. Most of the contributions assume the disturbance is white Gaussian noise [3][4][5][6][12][13].…”

“…In [12][13], adaptive controllers are proposed for systems with two-segment piecewise-linear nonlinearity and preload nonlinearity. Most of the contributions assume the disturbance is white Gaussian noise [3][4][5][6][12][13]. This note focuses on robust adaptive controller design for H systems with dead-zone nonlinearity and bounded noise.…”

Adaptive control of uncertain Hammerstein systems with monotonic input nonlinearities using auxiliary nonlinearities

“…Adaptive control of Hammerstein systems with uncertain input nonlinearities and linear dynamics is considered in [4][5][6]. Unlike [4][5][6], however, we make no attempt to identify and invert the input nonlinearity.…”

“…Unlike [4][5][6], however, we make no attempt to identify and invert the input nonlinearity. Instead, we apply retrospective-cost adaptive control (RCAC), which can be used for plants that are possibly MIMO, nonminimum phase (NMP), and unstable [7][8][9][10][11][12][13].…”

“…In [4][5][6], the input nonlinearities are assumed to be piecewise linear. The present paper does not impose this restriction.…”