This paper presents an overview of a linear matrix inequality (LMI) approach to the multiobjective synthesis of linear output-feedback controllers. The design objectives can be a mix of H 1 performance, H 2 performance, passivity, asymptotic disturbance rejection, time-domain constraints, and constraints on the closed-loop pole location. In addition, these objectives can be specified on different channels of the closed-loop system. When all objectives are formulated in terms of a common Lyapunov function, controller design amounts to solving a system of linear matrix inequalities. The validity of this approach is illustrated by a realistic design example.Index Terms-Controller parameter change, linear matrix inequalities, Lyapunov shaping paradigm, multichannel multiobjective control.

This paper describes a new MATLAB-based toolbox for control design via linear matrix inequality (LMI) tecliniques. After a brief review of LMIs and of some 01 their applications to control, the toolbox contents and capabilities are presented.

A novel design for active compressor surge control system (ASCS) using linear matrix inequality (LMI) approach is presented and including a case study on piston-actuated active compressor surge control system (PAASCS). The non-linear system dynamics of the PAASCS is transformed into linear parameter varying (LPV) system dynamics. The system parameters are varying as a function of the compressor performance curve slope. A compressor surge stabilization problem is then formulated as a LMI problem. Solving the LMI problem results in a feedback control gain for the compressor surge stabilization and stability proof of the closed loop system in the whole compressor operating area. Simulation results show that the designed surge control system is able to stabilize compressor surge. Significant improvement of the control system performance is achieved by combining the LMI approach and linear quadratic regulator (LQR).

No abstract

No abstract