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This paper proposes a new technique for frequency shaping of the closed-loop system. The technique does not involve any weighting function for shaping, which is often used in the conventional H∞ control theory, but selects a desirable analytic function from a set of H∞ suboptimal solutions with a bounded degree. The Nevanlinna-Pick interpolation theory with a degree bound plays a central role in deriving...
This paper develops an optimal H∞ state feedback controller for a quarter-car active suspension system application. The plant parameters and performance requirements are borrowed from a prototype in the literature. The control design is done using convex optimization with linear matrix inequality constraints, which ensures a very fast and efficient computation of the controller, without trial and...
This work deals with the design and analysis of a controller for a shunt active power filter. The design is based on combined feedforward and feedback actions, the last using odd-harmonic repetitive control, and aims at obtaining good closed-loop performance in spite of the possible frequency variations that may occur in the electrical network. As these changes affect the performance of the controller,...
Shunt active power filters have proven to be an efficient means to compensate for the negative effects of nonlinear and reactive loads on the power quality of the electrical distribution network. In this context, the control objective is to achieve a power factor close to 1, as well as load current harmonics and reactive power compensation. A useful control strategy for this purpose is repetitive...
The literature, dealing with automatic control systems, describes the application of Bodé plots of open loop frequency characteristics to the controller parameter synthesis as the trial and error method. The procedure suggested is the one for controller parameter determining according to the given phase margin of the open-loop system frequency characteristics. The procedure is repeated until the...
Current regulation plays a key role in modern power electronic AC conversion systems. The most obvious strategy is to use a simple closed loop PI regulator. However it is well known that this approach cannot achieve zero steady state error because of the instability that inevitably occurs as the PI gains are increased to reduce this error. Linear analysis identifies that an AC load controlled by a...
This paper discusses the problem of finite frequency positive real control for singularly perturbed systems based on GKYP lemma. The purpose of this study is to design a state feedback controller such that the resulting closed-loop system is stable, and achieves the extended strictly positive realness for singularly perturbed systems at low and high frequencies. By employing GKYP lemma, respectively,...
This paper considers the multi-objective synthesis problem for linear discrete-time systems with mixed frequency small gain specifications. As a starting point, the closed-loop systems are affinely parameterized with the Youla parameterization and the search of the Youla parameter is confined to finite-dimensional subspaces. Instead of starting with all arbitrary stabilizing controllers, the so-called...
This paper addresses flight controller design for the following two requirements; the realization of arbitrary maneuverability and the reduction of the motions driven by wind gust. For the lateral-directional motions of a research aircraft, we design a flight controller that satisfies the aforementioned two requirements; the latter is achieved by designing a feedback controller which minimizes H infin...
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