In the paper we present a new method for solving optimal control problems of a class of hybrid systems. We describe the new effective algorithm based on memetic algorithm (MA) for optimal control of switched systems. ...
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ISBN:
(纸本)9781457718687
In the paper we present a new method for solving optimal control problems of a class of hybrid systems. We describe the new effective algorithm based on memetic algorithm (MA) for optimal control of switched systems. We concentrate on a class of problems in which a pre-specified sequence of active subsystems is known. Our aim is to find both the optimal switching instants and the optimal continuous inputs. The new approach, which we propose, decomposes the cost functional of the basic optimal control problem in Bolza form in two terms. The first term depends explicitly on a value of state variables at the final time. The second term depends on state and control trajectories. In oreder to solve those two tasks we used MA as the multi-objective optimization algorithm. In this paper we considered a fundamental bi-criteria case with two mentioned before functions: the value of state variables at the final time and the state and control trajectories. In order to find an approximation of Pareto frontier, we proposed new effective method based on genetic algorithm (GA) and local search (LS). Problems properties were taken into consideration in the design of our new approach of solving it. They were used to construct new algorithm inspired by the LS NSGA-II, which performed rather well in multi-criteria scheduling problem. Since simple genetic algorithms are efficient heuristics in searching for optimal solutions, but lack the accuracy of some more computational complex algorithms, a hybrid algorithm was constructed. It uses fast non-dominated sorting, in order to evaluate child population and allocate solutions to corresponding Pareto frontiers. I addition a local search method was used, in order to find more differentiated and better solutions. Clustering solutions from Pareto frontiers also improved diversity of solutions in child population. This approach can be used as a start point for searching for algorithm for solving optimal control problems of switched systems wi
Learning Classifier Systems (LCS) became a large branch of machine learning applications that received a lot of attention recently. Our model of LCS - rGCS or real-value Grammar Classifier System - uses grammar infere...
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In the paper we recover the static characteristic of Wiener-Hammerstein (sandwich) system from inputoutput data. The system is excited and disturbed by random processes with arbitrary distribution. Two kernel-based es...
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We consider the cyclic production system providing on output the mixture of various products. Each product is produced by certain chain of operations, i. e. the unique sequence followed from the technological order. E...
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In the paper we show a new three-stage algorithm identifying the Hammerstein system nonlinearity. The algorithm is designed to work when a poor a priori knowledge is available and when the measurement data set is smal...
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The paper shows several methods employed in a semi-automatic pipeline for 3D surface reconstruction of anatomic shapes from Computed Tomography scans. Main benefits of the approach are very little human involvement an...
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This paper presented an equivalent circuit simulation model of the cantilevered piezoelectric bimorph energy harvester for predicting the electrical power output of the energy harvester. The alternating voltage in the...
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The impedance matching and the optimization of power from a circular piezoelectric energy harvester with a central-attached mass are studied. A finite element model is constructed to analyze the electrical equivalent ...
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In this paper we propose a new 4-moduli Residue Number System (RNS) {2~k, 2~n - 1, 2~(n-1) - 1, 2~(n+1) - 1} and its respective reverse converter. The new moduli set is characterized by a very efficient way of utilizi...
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ISBN:
(纸本)9781629935867
In this paper we propose a new 4-moduli Residue Number System (RNS) {2~k, 2~n - 1, 2~(n-1) - 1, 2~(n+1) - 1} and its respective reverse converter. The new moduli set is characterized by a very efficient way of utilizing the underlying representation's capacity coming from its two aspects. First, by not including conjugate moduli our set covers the dynamic range of the representation much better than the systems that do include conjugate moduli. Second, independent controlling parameters of the even and odd moduli allow for fine-grained adjustment of the dynamic range to the needs of specific application with a single bit resolution. Our converter capitalizes on the mixed-radix conversion technique augmented to obtain a compact architecture and to reduce critical path delay by careful decomposition of the computations into cricital and non-critical chunks. The synthesis experiment conducted on a 16-tap programmable FIR filter example using STMicro 65nm low-power library shows up to 11.5% improvement in power dissipation against competitive flexible moduli set.
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