the aim of this paper is to introduce a new approach for obtaining the numerical solution of singulary perturbed boundary value problems based on an optimal control technique. in the proposed method, first the mentioned equations are converted to an optimal control problem. then, control and state variables are approximated by chebychev series. therefore, the optimal control problem is reduced ...

In this paper, an approach for the computation of bounds on parametric model uncertainty for robust control design is proposed. The approach uses μ sensitivities to identify which uncertain parameters in the model are most critical in terms of closed-loop robustness objectives. Using skewed μ analysis tools, the maximum possible uncertainty bounds for model parameters which are most difficult o...

The solution to the problem of optimal control of piecewise affine systems with a bounded disturbance is characterised. Results that allow one to compute the value function, its domain (robustly controllable set) and the optimal control law are presented. The tools that are employed include dynamic programming, polytopic set algebra and parametric programming. When the cost is time (robust time...

We present a solution to the minimum time control problem for a classical harmonic oscillator to reach a target energy ET from a given initial state (qi, pi) by controlling its frequency ω,ωmin ω ωmax. A brief synopsis of optimal control theory is included and the solution for the harmonic oscillator problem is used to illustrate the theory. (Some figures in this article are in colour only in t...