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Delay-dependent guaranteed cost control for state-delayed system with disturbance and its application to engine idle speed control
Received:October 16,2007  Revised:October 6,2008
Keywords:Delay-dependent  Guaranteed cost  Idle speed  Disturbance rejection  Poles constraint  Optimization
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Zhihu WU, Run PEI Department of Control Science and Engineering, Harbin Institute of Technology, Harbin Heilongjiang 150001, China 
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      This paper proposes a delay-dependent guaranteed cost control scheme for engine idle speed control (ISC) with induction-to-torque delay and external load disturbance. An augmented linearization model of engine at idle speed operating mode was developed based on physical principle and experiment data. To provide a compromise between disturbance rejection and other performance requirements of ISC, a multi-objective cost function upper bound was given, which can help us to take into account the fuel economy and disturbance rejection performance together in ISC. Poles constraint was added to the closed-loop system to guarantee convergence rates of state. The whole optimization solution to ISC can be solved under the framework of LMI. A commercial engine model was utilized to assess the performance of the controller. Simulation results on this model show us that designed controller can achieve desired performance.
Zhihu WU, Run PEI.Delay-dependent guaranteed cost control for state-delayed system with disturbance and its application to engine idle speed control[J].Journal of Control Theory and Applications,2009,7(3):285~290.
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