This letter covers the model predictive control of linear discrete-time systems subject to stochastic additive disturbances and chance constraints on their state input. We propose a simplified parameterization under framework affine disturbance feedback, we show that our method is equivalent over family feedback policies. Using method, associated finite-horizon optimization can be computed effi...

In this paper the quasilinearization technique along with the Chebyshev polynomials of the first type are used to solve the nonlinear-quadratic optimal control problem with terminal state constraints. The quasilinearization is used to convert the nonlinear quadratic optimal control problem into sequence of linear quadratic optimal control problems. Then by approximating the state and control va...

Under an appropriate ISS condition, it is shown that global adaptive stabilization of a class of cascade systems with nonlinear parameterization is achievable by non-Lipschitz continuous partial-state adaptive regulator. This result complements the earlier work [10] on adaptive control of uncertain nonlinear systems with uncontrollable unstable linearization, which are impossible to be dealt wi...

The simple repetitive control system proposed by Yamada et al. is a type of servomechanism for the periodic reference input. That is, the simple repetitive control system follows the periodic reference input with small steady state error, even if a periodic disturbance or uncertainty exists in the plant. In addition, simple repetitive control systems make transfer functions from the periodic re...

This paper considers the robust model predictive control synthesis problem for constrained linear discrete time systems. The manuscript introduces a simple homothetic tube model predictive control synthesis method. The proposed method employs several novel features including: a more general parameterization of the state and control tubes based on homothety and invariance; a more flexible form o...

This paper proposes an output-feedback sliding mode control design for a class of uncertain multivariable plants with nonlinear disturbances. The approach used here is based on the control parameterization employed in model-reference adaptive control. The disturbances are allowed to be unmatched and to depend not only on the plant output but also on its unmeasurable state. A less restrictive co...

This paper is concerned with the analysis of a recently-proposed robust control policy for linear discrete-time systems subject to bounded state disturbances with mixed constraints on the states and inputs, which parameterizes the input as an affine function of the past disturbance sequence. The paper shows that this disturbance feedback policy is equivalent to the class of affine state feedbac...

In a previous paper [1] an Euler angle parameterization for SU (N) was given. Here we present a generalized Euler angle parameterization for U (N). The formula for the calculation of the volume for U (N), CP N as well as other SU (N) and U (N) cosets, normalized to this parameterization, will also be given. In addition, the mixed and pure state product measures for N-dimensional density matrice...