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This paper proposed a H∞ based controller design method for MIMO system. We use the bound real lemma to design the controller when the reference model is given. The BMI (Bi-linear Matrix Inequality) problem is turned into a LMI (Linear Matrix Inequality) problem by congruence transformation and variables substitution. Given a decoupled reference model, the decoupling controller can be obtained by...
It is difficult to build accurate mathematical models for nonlinear systems which suffer parametric uncertainty and heavy exogenous disturbance. Partial linearization was applied in this study to offset the effect of losing nonlinear part of the system after complete linearization by introducing nonlinear functions into the linear model. On the condition that the nonlinear function satisfied constraints,...
This paper presents a new approach for coupling control problems for norm bounded continuous-time uncertain systems. Firstly, a design of the state feedback decoupling controller is presented. The nominal model could be decoupled completely and the coupling of the actual system would be reduced. Secondly, based on the linear matrix inequality (LMI), combining the guaranteed cost control law with the...
This paper addresses the problem of designing the state feedback tracking guaranteed cost controller for a class of norm bounded continuous-time uncertain systems. Firstly, the approach to design a state feedback guaranteed cost controller is presented. The closed-loop system with the designed controller is asymptotically stable and the closed-loop cost function value is not more than a specified...
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