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In this paper, we prove the optimality of disturbance-affine control policies in the context of one-dimensional, box-constrained, multi-stage robust optimization. Our results cover the finite horizon case, with minimax (worst-case) objective, and convex state costs plus linear control costs. Our proof methodology, based on techniques from polyhedral geometry, is elegant and conceptually simple, and...
For an estimation based multiple model switched adaptive control (EMMSAC) algorithm controlling a MIMO minimal LTI plant, lp, 1 ?? p ?? ?? bounds on the gain from the input and output disturbances to the internal signals are obtained which are invariant to the number of models in the plant model set. For a compact uncertainty set it is shown that a realisable EMMSAC algorithm achieves robust stability...
In this paper, a solution is proposed in order to solve the chattering avoidance problem in variable structure control for a class of uncertain non linear systems with external disturbances. This approach is based on sliding mode control (SMC) with integral corrector in the boundary layer to synthesize a robust control system. The stability and the performances of the closed-loop system are proven...
Among of important results herein is the performance information analysis of forecasting higher-order characteristics of a general criterion of performance associated with a stochastic tracking system which is closely supervised by a reference command input and a desired trajectory. Both compactness from logic of state-space model description and quantitativity from probabilistic knowledge of stochastic...
In this paper a novel approach is proposed to solve a decentralized control problem to stabilize a multivariable system and attenuate the interconnections between its subsystems. To satisfy these conditions, an ut feedback controller is designed by solving an Hinfin control problem. The designed controller is applied to a practical multivariable flow-level plant to show the effectiveness of the proposed...
Type-1 fuzzy logic controllers (FLCs) have been widely employed in many control applications as they give a good performance and it is relatively easy to extract the type-1 FLC parameters from experts. However, type-1 FLCs cannot fully handle the encountered uncertainties in changing unstructured environments as they use crisp type-1 fuzzy sets. Consequently, in order for type-1 FLCs to provide a...
This paper presents the direct torque control (DTC) of an interior permanent magnet synchronous motor (IPMSM) based on sliding mode technique. Two adaptive cascade sliding mode controllers (ASMC) are designed; one for regulating the motor speed and the other is dedicated for controlling the electromagnetic torque. Consequently, the demerits of classical DTC (large torque and current ripples due to...
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