A Hybrid State-Space Approach to Sampled-Data Feedback Control
نویسندگان
چکیده
This paper develops a state-space theory for the study of linear shift-invariant finite-dimensional hybrid dynamical systems. By hybrid system, we mean an inputoutput operator relating hybrid signals, that is, signals which consist of two parts: a continuous-time part and a discrete-time part. We first introduce the hybrid state-space model and show the closedness properties under the fundamental operations. We next investigate the standard basic issues associated with this formalism: reachability, observability, and internal stability. We define the notion of Hz-norm of the hybrid system and show how to evaluate it. Since the analysis result can be applied to any hybrid system with the proposed hybrid state-space model, we apply the analysis result to the optimal digital control problem for standard four-block configuration with H,-norm performance measure. The solution, with computational algorithm, is derived for the time-delay case. LINEARALGEBRAANDI~SAPPLICATIONS 205-206:675-712 (1994) 0 Elsevier Science Inc., 1994 675 655 Avenue of the Americas, New York, NY 10010 0024-3795pp7.00 676 S. HARA, H. FUJIOKA, AND P. T. KABAMBA
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