Stability of switched linear systems under arbitrary switching signals is an important requirement, when the switching mechanism is unknown, or too complicated to be useful in the stability analysis. In this study, ro...
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Stability of switched linear systems under arbitrary switching signals is an important requirement, when the switching mechanism is unknown, or too complicated to be useful in the stability analysis. In this study, robust exponential stability and exponential stabilisation of parametric uncertain switched linear systems are investigated under arbitrary switching. First, sufficient conditions are proposed to ensure the existence of a common quadratic Lyapunov function (CQLF) for arbitrary switched linear systems with uncertain parameters belong to known intervals. Then, an estimation of stability intervals for uncertain parameters is provided via a theorem. To enlarge the estimated stability intervals, an offline optimisation algorithm is also proposed. Finally, the derived results for robust exponential stability are used to stabilise the uncertain switched linear systems which are not stable under arbitrary switching signals. For this purpose, a method is proposed to design a single state feedback gain in the way that the closed-loop switched linear system is robustly exponentially stable under arbitrarily fast switching signals. Numerical examples are included to demonstrate the effectiveness of the results.
A knowledge-based expert system (KBES) is proposed for the scheduling of an energy storage system (ESS) installed in a wind-diesel isolated power system. The program optimises the cost of operation by determining the ...
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A knowledge-based expert system (KBES) is proposed for the scheduling of an energy storage system (ESS) installed in a wind-diesel isolated power system. The program optimises the cost of operation by determining the diesel generation and the charging/discharging cycles of the storage system from the wind and load profiles one hour in advance. The rules created aim to minimise the use of the dump load normally associated with diesel operation. The results are compared to an offline optimisation algorithm applied to the same power system and ESS size that has a 24-h lookahead. The results obtained show that by minimising the energy wasted through the dump load with the use of the ESS and KBES controller, the required diesel generation is reduced, therefore reducing operation costs and emissions.
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